Eric Butcher

Interests

Teaching

AME 457/557 Orbital Mechanics and Spaceflight, AME 429/529 Interplanetary Mission Design, AME 454/554 Spacecraft Attitude Dynamics and Controls, AME 521 Spacecraft Optimal Estimation, AME 559 Advanced Astrodynamics, AME 558 Introduction to Advanced Control Theory, AME 460 Mechanical Vibrations, AME 560 Advanced Vibrations, AME 352 Dynamics of Machines

Research

Dynamics and control in nonlinear, time-periodic, time-delayed, stochastic, and fractional order systems; chaos identification and control; multi-agent consensus control and estimation; spacecraft guidance, navigation and control; estimation and control of spacecraft attitude and relative motion dynamics; coupled orbit/attitude dynamics; Coulomb formation flying; interplanetary, interstellar and libration point transfers; nonlinear vibrations; order reduction; regenerative chatter in machining; vibration-based damage detection in structural and rotordynamic systems.

Courses

Scholarly Contributions

Chapters

• Butcher, E., Dabiri, A., & Nazari, M. (2017). Stability and Control of Fractional Periodic Time-Delayed Systems. In Time Delay Systems: Theory, Numerics, Applications, and Experiments (Advances in Delays and Dynamics Vol. 7)(pp 107-126). New York: Springer. doi:10.1007/978-3-319-53426-8

Journals/Publications

• Mathavaraj, S., & Butcher, E. (2024). Consensus SE(3)-Constrained Extended Kalman Filter for Close Proximity Orbital Relative Pose Estimation. Aerospace, 11(762). doi:10.3390/aerospace11090762
• Mathavaraj, S., & Butcher, E. (2023). Rigid Body Attitude Control, Synchronization, and Bipartite Consensus using Feedback Reshaping. Journal of Guidance, Control, and Dynamics, 46(6), 1095-1111. doi:doi: 10.2514/1.G007111
• Nazari, M., Canales, D., McCann, B., Butcher, E., & Howell, K. (2023). Framework for the Full N-Body Problem in SE(3) and its Reduction to the Circular Restricted Full Three-Body Problem. Celestial Mechanics and Dynamical Astronomy. doi:10.1007/s10569-023-10156-1
• Maadani, M., & Butcher, E. (2022). Consensus Control of Rigid Body Spacecraft in Orbital Relative Motion using TSE(3) and Exponential Coordinates. Journal of the Astronautical Sciences, 69, 801-828. doi:doi: 10.1007/s40295-022-00322-2
• Maadani, M., & Butcher, E. (2022). Pose Consensus Control of Multi-Agent Rigid Body Systems with Homogeneous and Heterogeneous Communication Delays. International Journal of Robust and Nonlinear Control, 32(6), 3714-3746. doi:10.1002/rnc.5992
• Mathavaraj, S., & Butcher, E. (2022). SE(3)-Constrained Extended Kalman Filtering for Rigid Body Pose Estimation. Transactions of Aerospace and Electronic Systems, 58, 2482-2492. doi:10.1109/TAES.2021.3139291
• Maadani, M., & Butcher, E. (2021). 6-DOF Consensus Control of Multi-Agent Rigid Body Systems using Rotation Matrices. International Journal of Control. doi:10.1080/00207179.2021.1928291
• Maadani, M., & Butcher, E. (2021). Consensus Stability in Multi-Agent Systems with Periodically Switched Communication Topology using Floquet Theory. Transactions of the Institute of Measurement and Control, 43(5), 1239–1254. doi:10.1177/0142331220969055
• Malladi, B., Sanfelice, R., & Butcher, E. (2021). Robust Hybrid Supervisory Control for Spacecraft Close Proximity Missions. Annual Reviews in Control, 52, 316-329. doi:doi: 10.1016/j.arcontrol.2021.11.001
• Memon, M., Nazari, M., Seo, D., & Butcher, E. (2021). Fuel Efficiency of Fully- and Under-Constrained Coulomb Formations in Slightly Elliptic Reference Orbits,. Transactions on Aerospace and Electronic Systems, 57, 4171-4187. doi:10.1109/TAES.2021.3090920
• Malladi, B., Butcher, E., & Sanfelice, R. (2020). Rigid Body Pose Hybrid Control Using Dual Quaternions: Global Asymptotic Stabilization and Robustness. Journal of Guidance Control and Dynamics, 43(9), 1631-1641. doi:10.2514/1.G004621
• Poursina, M., & Butcher, E. (2019). Accurate Electrostatic Force and Moment Approximations for Coulomb Charged Spacecraft Based on Center of Charge. Journal of Astronautical Sciences, 67, 829-862. doi:doi: 0.1007/s40295-019-00186-z
• Burnett, E., Sinclair, A., & Butcher, E. (2019). Coordinate-Invariant Linear Quadratic Control. Proceedings in Applied Mathematics and Mechanics, 19(1). doi:doi: 10.1002/pamm.201900073
• Dabiri, A., & Butcher, E. (2019). Optimal Observer-Based Feedback Control for Linear Fractional-Order Systems with Constant or Periodic Coefficients. Journal of Vibration and Control, 25, 1379-1392. doi:10.1177/1077546318822370
• Dogan, K., Gruenwald, B., Yucelen, T., Muse, J., & Butcher, E. (2019). Distributed Adaptive Control and Stability Verification for Linear Multiagent Systems with Heterogeneous Actuator Dynamics and System Uncertainties. International Journal of Control, 92, 2620-2638. doi:10.1080/00207179.2018.1454606
• Samiei, E., Nazari, M., Butcher, E., & Sanyal, A. (2019). Robust Stochastic Stabilization of Attitude Motion. International Journal of Dynamics and Control, 7, 619–635. doi:10.1007/s40435-018-0456-5
• Wang, J., Butcher, E., & Lovell, A. (2019). Ambiguous Orbits in Elliptic Chief Spacecraft Relative Orbit Estimation with Range-Only Measurements. Journal of Spacecraft and Rockets, 56, 708–724. doi:10.2514/1.A34083
• Wang, J., Butcher, E., & Yucelen, T. (2019). Space-Based Relative Orbit Estimation using Information Sharing and the Consensus Kalman Filter. Journal of Guidance, Control, and Dynamics, 42, 491-507. doi:10.2514/1.G003503
• Wu, F., Cao, X., Butcher, E., & Wang, F. (2019). Dynamics and Control of Spacecraft with a Large Misaligned Rotational Component. Aerospace Science and Technology, 87, 207-217.
• Butcher, E., & Lovell, A. (2018). Nonlinear Normal Modes of Relative Orbital Motion for Unperturbed Two-Body Reference Orbits. Acta Astronautica, 153, 191-200. doi:10.1016/j.actaastro.2018.01.007
• Dabiri, A., & Butcher, E. (2018). Numerical Solution of Multi-Order Fractional Differential Equations with Multiple Delays via Spectral Collocation Methods. Applied Mathematical Modelling, 56, 424-448. doi:10.1016/j.apm.2017.12.012
• Dabiri, A., Butcher, E., Poursina, M., & Nazari, M. (2018). Optimal Periodic-Gain Fractional Delayed State Feedback Control for Linear Fractional Periodic Time-Delayed Systems. Transactions on Automatic Control. doi:10.1109/TAC.2017.2731522
• Nazari, M., Butcher, E., & Sanyal, A. (2018). Spacecraft Attitude Fractional Feedback Control using Rotation Matrices and Exponential Coordinates. Journal of Guidance, Control, and Dynamics, 41, 2185-2198.
• Wang, J., Butcher, E., & Lovell, A. (2018). Ambiguous Relative Orbits in Sequential Relative Orbit Estimation with Range-Only Measurements. Acta Astronautica, 151, 626-644. doi:10.1016/j.actaastro.2018.04.057
• Butcher, E., Wang, J., & Lovell, T. A. (2017). On Kalman Filtering and Observability in Nonlinear Sequential Relative Orbit Estimation. Journal of Guidance, Control, and Dynamics, 40, 2167-2182. doi:10.2514/1.G002702
• Dabiri, A., & Butcher, E. (2017). Efficient Modified Chebyshev Differentiation Matrices for Fractional Differential Equations. Communications in Nonlinear Science & Numerical Simulation, 50, 284-310. doi:10.1016/j.cnsns.2017.02.009
• Dabiri, A., & Butcher, E. (2017). Stable Fractional Chebyshev Differentiation Matrix for the Numerical Solution of Multi-Order Fractional Differential Equations. Nonlinear Dynamics, 90(1), 185-201. doi:10.1007/s11071-017-3654-3
• Dabiri, A., Butcher, E., & Nazari, M. (2017). Coefficient of Restitution in Fractional Viscoelastic Compliant Impacts using Fractional Chebyshev Collocation. Journal of Sound and Vibration, 388, 230-244. doi:10.1016/j.jsv.2016.10.013
• Nazari, M., Butcher, E., & Anthony, W. (2017). Earth-Moon L1 Libration Point Orbit Continuous Stationkeeping Control using Time-Varying LQR and Backstepping. International Journal of Dynamics and Control, published online. doi:10.1007/s40435-016-0256-8
• Samiei, E., Sanyal, A., & Butcher, E. (2017). Stabilization of Rigid Body Attitude Motion with Time-Delayed Feedback. Aerospace Science and Technology, 68, 509-517. doi:10.1016/j.ast.2017.06.004
• Butcher, E. A., Dabiri, A., & Nazari, M. (2016). Transition Curve Analysis of Linear Fractional Periodic Time-Delayed Systems Via Explicit Harmonic Balance Method. JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 11(4). doi:10.1115/1.4031840
• Nazari, M., & Butcher, E. (2016). Fuel Efficient Periodic Gain Control Strategies for Spacecraft Relative Motion in Elliptic Chief Orbits. International Journal of Dynamics and Control. doi:10.1007/s40435-014-0126-1
• Nazari, M., Butcher, E. A., Yucelen, T., & Sanyal, A. K. (2016). Decentralized Consensus Control of a Rigid-Body Spacecraft Formation with Communication Delay. JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 39(4), 838-851. doi:10.2514/1.G001396
• Torkamani, S., Butcher, E. A., & Todd, M. D. (2016). A real-time approach for damage identification using hyperchaotic probe and stochastic estimation. MECCANICA, 51(3), 537-550. doi:10.1007/s11012-015-0211-3
• Davis, K., Parker, J., & Butcher, E. (2015). Transfers from Earth to Earth-Moon L3 Halo Orbits using Accelerated Manifolds. Advances in Space Research, 55(7), 1868-1877. doi:10.1016/j.asr.2015.01.022
• Lee, D., Sanyal, A., & Butcher, E. (2015). Asymptotic Tracking Control for Spacecraft Formation Flying with Decentralized Collision Avoidance. Journal of Guidance, Control, and Dynamics, 38(4), 587-600. doi:10.2514/1.G000101
• Lee, D., Sanyal, A., Butcher, E., & Scheeres, D. (2015). Finite-Time Control for Spacecraft Body-Fixed Hovering over an Asteroid. Transactions on Aerospace and Electronic Systems, 51(1), 506-520. doi:10.1109/TAES.2014.140197
• Mesbahi, A., Haeri, M., Nazari, M., & Butcher, E. (2015). Fractional Delayed Damped Mathieu Equation. International Journal of Control, 88(3), 622-630. doi:10.1080/00207179.2014.971430
• Samiei, E., Butcher, E., Sanyal, A., & Paz, R. (2015). Attitude Stabilization of Rigid Spacecraft with Minimal Attitude Coordinates and Unknown Time-Varying Delay. Aerospace Science and Technology, 46, 412-421. doi:10.1016/j.ast.2015.08.007
• Lee, D., Bang, H., Butcher, E. A., & Sanyal, A. K. (2014). Nonlinear Output Tracking and Disturbance Rejection for Autonomous Close Range Rendezvous and Docking of Spacecraft. Transactions of the Japan Society for Aeronautical and Space Sciences, 57(4), 225-237.
• Lee, D., Bang, H., Butcher, E., & Sanyal, A. (2014). Kinematically Coupled Relative Spacecraft Motion Control Using State-dependent Riccati Equation Method. ASCE Journal of Aerospace Engineering, online, 13. doi:10.1061/(ASCE)AS.1943-5525.0000436
  More info

  ISSN: 1943-5525
• Lee, D., Butcher, E. A., & Sanyal, A. K. (2014). Optimal Interior Earth-Moon Lagrange Point Transfer Trajectories Using Mixed Impulsive and Continuous Thrust. Aerospace Science and Technology, 39, 281-292. doi:10.1016/j.ast.2014.09.016
• Lee, D., Sanyal, A. K., Butcher, E. A., & Scheeres, D. J. (2014). Almost Global Asymptotic Tracking Control for Spacecraft Body-fixed Hovering Over an Asteroid. Aerospace Science and Technology, 38, 105-115. doi:10.1016/j.ast.2014.07.013
• Nazari, M., Butcher, E. A., & Bobrenkov, O. A. (2014). Optimal Feedback Control Strategies for Periodic Delayed Systems. International Journal of Dynamics and Control, 2(1), 102-118. doi:10.1007/s40435-013-0053-6
• Nazari, M., Wauson, R., Critz, T., Butcher, E. A., & Scheeres, D. J. (2014). Observed-based Body-frame Hovering Control Over a Tumbling Asteroid. Acta Astronautica, 102, 124-139. doi:10.1016/j.actaastro.2014.05.016
• Sari, M. S., & Butcher, E. A. (2014). Three-dimensional Vibration Analysis of Rectangular Plates with Undamaged and Damaged Boundaries by the Spectral Collation Method. International Journal of Acoustics and Vibration, 19, 3-9.
• Torkamani, S., Samiei, E., Bobrenkov, O., & Butcher, E. A. (2014). Numerical Stability of Linear Stochastic Delay Differential Equations Using Chebyshev Spectral Continuous Time Approximation. International Journal of Dynamics and Control, 2(2), 210-220. doi:10.1007/s40435-014-0082-9
• Butcher, E., & Sinha, S. (1996). A hybrid formulation for the analysis of time-periodic linear systems via Chebyshev polynomials. Journal of Sound and Vibration, 195(3). doi:10.1006/jsvi.1996.0441
• Pack, R., Butcher, E., & Parker, G. (1995). Accurate three-dimensional quantum probabilities and collision lifetimes of the H+O2 combustion reaction. The Journal of Chemical Physics, 102(15). doi:10.1063/1.469334
  More info

  Accurate 3D quantum state-to-state reaction probabilities and collision lifetimes for the H+02→OH+O combustion reaction for total angular momentum J=0 are reported. The reaction probabilities are dominated by resonances, many of which overlap. The total reaction probability is not enhanced by vibrational or rotational excitation of the reactants. The first accurate final state distributions are presented, and probability is found to spread out into all open product vibrational and rotational channels, with a rather strong tendency to produce highly excited product rotational states. The first calculated collision lifetimes are presented, and resonances with lifetimes of 1-10 ps are found at most energies. Whether the reaction behaves statistically is discussed, and future extensions needed are also discussed. © 1995 American Institute of Physics.
• Pack, R., Butcher, E., & Parker, G. (1993). Accurate quantum probabilities and threshold behavior of the H+O 2 combustion reaction. The Journal of Chemical Physics, 99(11). doi:10.1063/1.465548
  More info

  We report accurate 3D quantum reaction probabilities for the H+O 2 combustion reaction and find that they are resonance dominated and rise linearly above threshold. The reaction probability is not enhanced by vibrational or rotational excitation of the reactants but does increase above the threshold for vibrationally excited products. © 1993 American Institute of Physics.

Proceedings Publications

• Butcher, E. (2024). Tri-Elliptic Aero-Assisted Orbit Transfers Between Coplanar Orbits. In AIAA/AAS Astrodynamics Specialist Conference.
• Butcher, E., & Maadani, M. (2024). Rigid Body Attitude Cluster Consensus Control on Weighted Cooperative-Competitive Networks. In American Control Conference.
• Butcher, E. (2023). Slightly Elliptic Quadratic Relative Motion with J2 Effects in Spherical Coordinates: Model and Time-Explicit Solution. In AAS Astrodynamics Specialist Conference.
• Butcher, E., & Mathavaraj, S. (2023). Multi-Agent Spacecraft Attitude Formation and Tracking Control using Reshaping. In AAS Astrodynamics Specialist Conference.
• Butcher, E. (2022). Consensus and Balanced Configurations on the Circle with Ring Topology and Heterogeneous Input Delays. In 17th IFAC Workshop on Time Delay Systems.
• Butcher, E., & Sinclair, A. (2022). Equivalence and Calibration of Euler Angles with Less Nonlinear Attitude Parameterizations. In AAS Astrodynamics Specialist Conference.
• Maadani, M., & Butcher, E. (2022). PID Pose Consensus Control of a Multi-Agent Rigid Body System using Exponential Coordinates. In AIAA SciTech.
• Maadani, M., Butcher, E., Yucelen, T., & Arabi, E. (2022, Jan). Prescribed-Time Consensus Control of Rigid Body Pose. In AIAA SciTech.
• Nazari, M., Canales, D., McCann, B., Butcher, E., & Howell, K. (2022). Full N-Body Problem in the Geometric Mechanics Framework and its Reduction to Circular Restricted Three-Body Problem. In AAS Astrodynamics Specialist Conference.
• Norrix, S., Butcher, E., & Sinclair, A. (2022). Calibrated Kalman Filtering in Relative Orbit Estimation. In AAS Astrodynamics Specialist Conference.
• Taneja, L., & Butcher, E. (2022). Design Considerations for Attitude Consensus Control of Two Flexible Spacecraft. In AAS Astrodynamics Specialist Conference.
• Butcher, E., & Maadani, M. (2021, Aug). Modified Nonlinear Morse-Lyapunov Attitude Control. In AAS Astrodynamics Specialist Conference.
• Butcher, E., & Wenn, C. (2021, Jan). Lyapunov-Based Control of Kinematically Coupled Close-Proximity Spacecraft Feature Point Dynamics,. In AAS Spaceflight Mechanics Meeting.
• Maadani, M., & Butcher, E. (2021, Jan.). Attitude Consensus Control of a Rigid Body Multi-Vehicle System with Heterogeneous Communication Delays. In AIAA GNC Conference.
• Sinclair, A., & Butcher, E. (2021). Equivalence of Linearized Approximations for Overparameterized Representations of Dynamic Systems. In AAS Astrodynamics Specialist Conference.
• Butcher, E., Bire, A., & Sinclair, A. (2020, Aug.). Calibrated Approximations of Error Kinematics for Attitude Parameterizations. In AAS Astrodynamics Specialist Conference.
• Koru, A., Yucelen, T., Sarsilmaz, S. B., Butcher, E., & Maadani, M. (2020, Jan). Adaptive Consensus Control of Rigid Body Attitude Motion using Rotation Matrices. In AIAA Guidance, Navigation, and Control Conference.
• Maadani, M., & Butcher, E. (2020, Aug.). Decentralized 6-DOF Consensus Control in Orbital Relative Motion with Heterogeneous Communication Delays using Rotation Matrices. In AAS Astrodynamics Specialist Conference.
• Maadani, M., Butcher, E., & Sanyal, A. (2020, July). Finite-Time Attitude Consensus Control of a Multi-Agent Rigid Body System. In American Control Conference.
• Maadani, M., & Butcher, E. (2019, Aug). Morse-Lyapunov-Based Decentralized Consensus Control of Rigid Body Spacecraft in Orbital Relative Motion. In AAS Astrodynamics Specialist Conference.
• Maadani, M., & Butcher, E. (2019, Dec). Distributed Control of Rigid Body Reduced Attitude: Synchronization and Balancing. In Indian Control Conference.
• Maadani, M., & Butcher, E. (2019, Dec.). Consensus Control of a Multi-Agent Rigid Body System on TSO(3)^N and TSE(3)^N. In Indian Control Conference.
• Maadani, M., Butcher, E., Nazari, M., & Yucelen, T. (2019, Jan). Decentralized Consensus Control of Rigid Bodies using Exponential Coordinates. In AIAA Guidance, Navigation, and Control Conference.
• Wang, J., Butcher, E., & Yucelen, T. (2019, Jan). Consensus Estimation of Rigid Body Motion using Lie Algebra se(3) and the Consensus Extended Kalman Filter. In AIAA Guidance, Navigation, and Control Conference.
• Yaylali, D., Butcher, E., & Dabiri, A. (2019, Jan). Fractional PID Consensus Protocols for Second-Order Multi-Agent Systems. In AIAA Guidance, Navigation, and Control Conference.
• Yaylali, D., Butcher, E., & Sinclair, A. (2019, Jan). Fractional Control of Relative Orbit Trajectories. In AAS Spaceflight Mechanics Meeting.
• Arabi, E., Sarsilmaz, S., Maadani, M., Nazari, M., Butcher, E., & Yucelen, T. (2018, Jan). Adaptive Control of a Rigid Body Vehicle on Exponential Coordinates with Guaranteed Performance. In AIAA Guidance, Navigation, and Control Conference.
• Burnett, E., & Butcher, E. (2018, Aug). Linearized Relative Orbital Motion Dynamics in a Rotating Second Degree and Order Gravity Field. In AAS Astrodynamics Specialist Conference.
• Burnett, E., Butcher, E., Lovell, A., & Sinclair, A. (2018, Aug). Linearized Relative Orbital Motion Model about an Oblate Body Without Averaging. In AAS Astrodynamics Specialist Conference.
• Crane, J., Roscoe, C., Malladi, B., Zucchini, G., Butcher, E., Sanfelice, R., & Hussein, I. (2018, June). Hybrid Control for Autonomous Spacecraft Rendezvous Proximity Operations and Docking. In IFAC Workshop on Networked and Autonomous Air and Space Systems.
• Dabiri, A., & Butcher, E. (2018, June). The FCC Stability Criterion for Fractional-Order Linear Time-Invariant Systems with Commensurate or Incommensurate Orders. In American Control Conference.
• Dabiri, A., Butcher, E., & Nazari, M. (2018, June). Phase-Variable Canonical State-Space Realizations and Initializations for Linear Time-Invariant Multi-Term Fractional Differential Equations. In American Control Conference.
• Dabiri, A., Poursina, M., & Butcher, E. (2018, June). Integration of Divide-and Conquer Algorithm with Fractional Order Controllers for the Efficient Dynamic Modeling and Control of Multibody Systems. In American Control Conference.
• Dogan, K., Gruenwald, B., Yucelen, T., Muse, J., & Butcher, E. (2018, June). Stable Distributed Adaptive Systems for Control of Linear Multiagent Systems in the Presence of Heterogeneous Actuator Dynamics and Unknown Parameters. In American Control Conference.
• Karimi, R., Dabiri, A., Cheng, J., & Butcher, E. (2018, June). Probabilistic-Robust Optimal Control for Uncertain Linear Time-delay Systems by State Feedback Controllers with Memory. In American Control Conference.
• Maadani, M., Butcher, E., & Yucelen, T. (2018, June). Periodically Switched Communication Topology in Multi-Agent Consensus Control: Stability and Floquet Theory. In American Control Conference.
• Malladi, B., Butcher, E., & Sanfelice, R. (2018, Jan). Robust Global Asymptotic Stabilization of Rigid Body Dynamics using Dual Quaternion Feedback. In AIAA Guidance, Navigation, and Control Conference.
• Malladi, B., Sanfelice, R., & Butcher, E. (2018, June). Robust Hybrid Kalman Filter for a Class of Nonlinear Systems. In American Control Conference.
• Nazari, M., Butcher, E., & Sanyal, A. (2018, Jan). Fractional Control of Rigid Body Attitude Dynamics using Exponential Coordinates. In AIAA Guidance, Navigation, and Control Conference.
• Nazari, M., Maadani, M., Butcher, E., & Yucelen, T. (2018, Jan). Morse-Lyapunov-Based Control of Rigid Body Motion on TSE(3) via Backstepping. In AIAA Guidance, Navigation, and Control Conference.
• Wang, J., & Butcher, E. (2018, Jan). Decentralized Estimation of Spacecraft Relative Motion Using Consensus Extended Kalman Filter. In AIAA Spaceflight Mechanics Meeting.
• Wang, J., Butcher, E., & Lovell, A. (2018, Feb). Time-Varying Communication Topology in Consensus Estimation of Spacecraft Relative Orbital Motion. In AAS Guidance and Control Conference.
• Wang, J., Butcher, E., & Yucelen, T. (2018, Jan). Extended Kalman filter and Observability Analysis for Consensus Estimation of Spacecraft Relative Motion. In AIAA Guidance, Navigation, and Control Conference.
• Zucchini, G., Malladi, B., Sanfelice, R., & Butcher, E. (2018, June). Robust Hybrid Supervisory Control for a 3-DOF Spacecraft in Close-Proximity Operations. In IFAC Workshop on Networked and Autonomous Air and Space Systems.
• Butcher, E. (2017, June). Nonlinear Normal Modes of Relative Orbital Motion for Unperturbed Two-Body Reference Orbits. In International Workshop on Satellite Constellations and Formation Flying.
• Butcher, E., Burnett, E., & Lovell, T. A. (2017, February). Comparison of Relative Orbital Motion Perturbation Solutions in Cartesian and Spherical Coordinates. In AAS Spaceflight Mechanics Meeting.
• Butcher, E., Burnett, E., Wang, J., & Lovell, T. A. (2017, August). A New Time-Explicit J2-Perturbed Nonlinear Relative Orbit Model with Perturbation Solutions. In AIAA Astrodynamics Specialist Conference.
• Dabiri, A., & Butcher, E. (2017, August). Design of Optimal Fractional Luenberger Observers for Linear Fractional-Order Systems. In ASME IDETC.
• Dabiri, A., & Butcher, E. (2017, August). Fractional Chebyshev Collocation Method for Solving Linear Fractional-Order Delay-Differential Equations. In ASME IDETC.
• Dabiri, A., Nazari, M., & Butcher, E. (2017, May). Adaptive Neural-Fuzzy Inference System to Control Dynamical Systems with Fractional Order Dampers. In American Control Conference.
• Dogan, K., Gruenwald, B., Yucelen, T., Muse, J., & Butcher, E. (2017, May). Distributed Adaptive Control of Networked Multiagent Systems with Heterogeneous Actuator Dynamics. In American Control Conference.
• Bohn, J., Sanyal, A., & Butcher, E. (2016, Dec.). Unscented State Estimation for Rigid Body Attitude Motion with a Finite-Time Stable Observer. In IEEE Conference on Decision and Control.
• Butcher, E. A., & Lovell, T. A. (2015, August). NONLINEAR REDUCED ORDER DYNAMICS OF SPACECRAFT RELATIVE MOTION FOR A CIRCULAR CHIEF ORBIT. In ASTRODYNAMICS 2015, 156, 3505-3524.
• Butcher, E., & Lovell, T. (2016, Feb). Spherical Coordinate Perturbation Solutions to Relative Motion Equations: Application to Double Transformation Spherical Solution. In AAS Spaceflight Mechanics Meeting.
• Butcher, E., Lovell, T., & Harris, A. (2016, Feb). Third Order Cartesian Relative Motion Perturbation Solutions for Slightly Eccentric Chief Orbits. In AAS Spaceflight Mechanics Meeting.
• Butcher, E., Nazari, M., Dabiri, A., & Sanyal, A. (2016, Sep). Fractional PID Control of Spacecraft Attitude Dynamics Using Rotation Matrices. In International Astronautical Congress.
• Dabiri, A., Butcher, E., & Poursina, M. (2016, Aug.). Fractional Delayed Control Design for Linear Periodic Systems. In 12th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (ASME IDETC).
• Dabiri, A., Nazari, M., & Butcher, E. (2016, Aug.). One-Dimensional Impact Problem in Fractional Viscoelastic Models. In 12th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (ASME IDETC).
• Dabiri, A., Nazari, M., & Butcher, E. (2016, July). Optimal Fractional State Feedback Control for Linear Fractional Periodic Time-Delayed Systems. In American Control Conference.
• Dabiri, A., Nazari, M., & Butcher, E. (2016, July). The Spectral Parameter Estimation Method for Parameter Identification of Linear Fractional Order Systems. In American Control Conference.
• Dabiri, A., Nazari, M., & Butcher, E. (2016, Nov.). Chaos Analysis and Control in Fractional Order Systems using Fractional Chebyshev Collocation Method. In ASME International Mechanical Engineering Congress and Exposition.
• Dabiri, A., Nazari, M., & Butcher, E. (2016, Nov.). Linguistic Fuzzy Logic Control of a Double Inverted Pendulum with Destabilizing Fractional Dampers. In ASME International Mechanical Engineering Congress and Exposition.
• Hart, M., Hart, M., Jah, M. K., Jah, M. K., Gaylor, D., Gaylor, D., Butcher, E., Butcher, E., Ten Eyck, B., Ten Eyck, B., Corral, E. L., Corral, E. L., Furfaro, R., Furfaro, R., Lyons, E. H., Lyons, E. H., Merchant, N. C., Merchant, N. C., Surdeanu, M., , Surdeanu, M., et al. (2016, May). A New Approach to Space Domain Awareness at the University of Arizona. In NATO Symposium on "Considerations for Space and Space-Enabled Capabilities in NATO Coalition Operations".
• Samiei, E., Sanyal, A., & Butcher, E. (2016, Jan). Almost Global Stochastic Stabilization of Attitude Motion with an Unknown Diffusion Coefficient. In AIAA Guidance, Navigation, and Control Conference.
• Sanfelice, R., Malladi, B., Butcher, E., & Wang, J. (2016, Dec.). Robust Hybrid Supervisory Control for Rendezvous and Docking of a Spacecraft. In IEEE Conference on Decision and Control.
• Wang, J., Butcher, E. A., & Lovell, T. A. (2015, August). USE OF NONLINEARITIES FOR INCREASED OBSERVABILITY IN RELATIVE ORBIT ESTIMATION. In ASTRODYNAMICS 2015, 156, 3525-3544.
• Wang, J., Butcher, E., & Lovell, T. (2016, Feb). Analysis of Ambiguous Orbits in Sequential Relative Orbit Estimation with Range-Only Measurements. In AAS Spaceflight Mechanics Meeting.
• Wang, J., Butcher, E., & Lovell, T. (2016, Sep). Analysis of Ambiguous Orbits for Elliptic Chief Relative Orbit Estimation with Range-Only Measurements. In AIAA Astrodynamics Specialist Conference.
• Butcher, E., & Nazari, M. (2015, January). Decentralized Relative Position and Attitude Consensus Control of a Spacecraft Formation with Communication Delay. In AAS Spaceflight Mechanics Meeting.
• Dabiri, A., Nazari, M., & Butcher, E. (2015, June). Explicit Harmonic Balance Method for Transition Curve Analysis of Linear Fractional Periodic Time-Delayed Systems. In IFAC Workshop on Time Delay.
• Nelson, E., Creusere, C., & Butcher, E. (2015, March). Determining Position Around an Asteroid Using Communication Relays and Trilateration. In IEEE Aerospace Conference.
• Samiei, E., Izadi, M., Sanyal, A., & Butcher, E. (2015, June). Delayed Feedback Asymptotic Stabilization of Rigid Body Attitude Motion for Large Rotations. In IFAC Workshop on Time Delay.
• Samiei, E., Izadi, M., Viswanathan, S., Sanyal, A., & Butcher, E. (2015, May). Robust Stabilization of Rigid Body Attitude Motion in the Presence of a Stochastic Input Torque. In IEEE International Conference on Robotics and Automation.
• Samiei, E., Sanyal, A., & Butcher, E. (2015, January). Asymptotic Stabilization of Rigid Body Attitude Motion in the Presence of Unknown Time Delay in Feedback. In Indian Control Conference.
• Anthony, W., Butcher, E. A., & Parker, J. (2014, August 4-7). Statistical Fuel Budgets for Impulsive Guidance to Earth-Moon L1 Halo Orbits. In 2014 Astrodynamics Specialist Conference.
• Butcher, E., & Nazari, M. (2014, July 6-11). Approximate Transition Boundaries in the Fractional Delayed Damped Mathieu Equation. In 8th European Nonlinear Dynamics Conference.
• Butcher, E., & Nazari, M. (2014, July 6-11). Optimal Control of Spacecraft Motion in Time-periodic Astrodynamic Systmes. In 8th European Nonlinear Dynamics Conference.
• Davis, K. E., Butcher, E. A., Parker, J. S., & Deilami, M. (2014, January 26-30). Improved Transfers to Earth-Moon L3 Halo Orbits. In 2014 AAS Spaceflight Mechanics Meeting.
• Lee, D., Sanyal, A., Butcher, E. A., & Scheeres, D. J. (2014, January 26-30). Finite-time Control for Body-fixed Hovering of Rigid Spacecraft Over an Asteroid. In AAS Spaceflight Mechanics Meeting.
• Lee, D., Sanyal, A., Izadi, M., Butcher, E. A., & Scheeres, D. J. (2014, January 26-30). Finite-time Observer for Rigid Spacecraft Motion Over an Asteroid. In AAS Spaceflight Mechanics Meeting.
• Nazari, M., & Butcher, E. (2014, August 4-7). Continuous Thrust Stationkeeping in Earth-Moon L1 Halo Orbits Based on LQR Control and Floquet Theory. In 2014 Astrodynamics Specialist Conference.
• Sanyal, A. K., & Butcher, E. A. (2014, June 4-6). Determination of Relative Motion of a Space Object from Simultaneous Measurements of Range and Range Rate. In 2014 American Control Conference.

Presentations

• Butcher, E. (2024). Attitude Synchronization and Tracking via Feedback Reshaping and Cluster Consensus on Weighted Cooperative-Competitive Networks. Invited talk. Embry-Riddle Aeronautical University, Aerospace Engineering Dept.,.
• Butcher, E. (2024). Attitude Synchronization and Tracking via Feedback Reshaping and Cluster Consensus on Weighted Cooperative-Competitive Networks. Invited talk. University of Hawaii, Mechanical Engineering Dept..
• Butcher, E. (2021, Nov). Morse-Lyapunov Attitude Control: 6-DOF Relative Motion and Rigid Body Consensus Control. seminar for University of Minnesota Dept of Aerospace Engineering and Mechanics.
• Butcher, E. (2020, April). Introduction to Optimal Control, Time Delay, and Fractional Order Systems. UA Applied Mathematics. Applied Mathematics: Applied Mathematics.
• Butcher, E. (2020, Jan). Morse-Lyapunov-Based Decentralized Consensus Control of Rigid Body Spacecraft in Orbital Relative Motion. Indian Institute of Space Science and Technology. Indian Institute of Space Science and Technology.
• Butcher, E. (2020, Jan). Research in the Autonomous Space Vehicles and Astrodynamics Laboratory. Sampoerna University. Sampoerna University.
• Butcher, E. (2020, June). Beyond the HCW Equations: Higher Order Models, Solutions, and Observability. Rangers Symposium. AFRL, Albuquerque: AFRL.
• Butcher, E. (2020, Sept). Beyond the HCW Equations: Higher Order Models, Solutions, and Observability. AME seminarUA AME.
• Butcher, E. (2019, Dec). Stability of Parametrically Excited, Time-Delayed, Fractional Order Systems. Amrita University. Amrita University.
• Butcher, E. (2019, Dec). Strategies in Engineering Research. Keynote Address - 9th International Symposium on Embedded Computing and System Design. Amrita University.
• Butcher, E. (2018, April). Rigid Body Spacecraft Consensus Control and Estimation. RTG seminar, Applied Mathematics, UA.
• Butcher, E. (2018, Jan). Rigid Body Vehicle Modelling using Geometric Mechanics and Multi-Vehicle Consensus Control. Workshop on Consensus Control in Multivehicle Systems, University of South Florida.
• Butcher, E. (2017, February). Autonomous Space Vehicles: Research at the Intersection of Controls, Dynamical Systems, and Nonlinear Astrodynamics. invited talk. UA Electrical and Computer Engineering.
• Butcher, E. (2017, January). Research in the Autonomous Space Vehicles and Astrodynamics (ASVA) Laboratory. University of Arizona Workshop on Space Object Behavioral Sciences. Biosphere 2.
• Butcher, E. (2017, June). Chaos Control in Fractional-Order Systems using Fractional Chebyshev Collocation Method. extended abstract for 9th European Nonlinear Dynamics Conference. Budapest.
• Butcher, E. (2017, June). Stability and Control of the Fractional Damped Delayed Mathieu Equation. extended abstract for 9th European Nonlinear Dynamics Conference. Budapest.
• Butcher, E. (2017, March). Autonomous Space Vehicles: Recent Research in Spacecraft Relative Motion, Attitude Control, and Nonlinear Astrodynamics. invited talk. Ames, IA: Iowa State University.
• Butcher, E. (2015, February). Advancing Astronautics for Space Exploration and Development. invited talk. University of Arizona chapter of Students for the Exploration and Development of Space (SEDS).
• Butcher, E. (2015, March). Transition Curves in Fractional Periodic Delay Differential Equations. invited takl. University of Arizona Applied Mathematics Department.
• Butcher, E. (2015, November). Nonlinear Dynamics and Geometric Mechanics in Modeling and Control of Spacecraft Relative Motion. University of Arizona Department of Aerospace and Mechanical Engineering.
• Butcher, E. A. (2014, November 17). Stability and Nonlinear Dynamics of Parametrically Excited Delayed Fractional Systems with Applications to Spacecraft Attitude and Formation Control. Seminar. Arizona State University.
• Butcher, E. A. (2014, October 23). Stability and Nonlinear Dynamics of Parametrically Excited Delayed Fractional Systems. Seminar. University of Arizona: Applied Mathematics Department.

Poster Presentations

• Butcher, E., & Maadani, M. (2019, Nov). Consensus Control in Rigid-Body Multi-Vehicle Systems. ASME IMECE. SLC: ASME.
• Butcher, E. A., Bobrenkov, O., Torkamani, S., Nazari, M., & Samiei, E. (2014, July 3-5). Stability, Estimation, and Control in Stochastic Delayed Systems. Investigating Dynamics in Engineering and Applied Science (IDEAS). Badapest, Hungary.

Reviews

• Butcher, E. (2019. Review of Analytical Mechanics of Space Systems by H. Schaub and J. L. Junkins(pp 110-111). Control Systems Magazine.

Others

• Butcher, E. (2019, Sep). In Memoriam: Subhash C. Sinha. ASME Journal of Computational and Nonlinear Dynamics, Vol. 14(9), 090101 and ASME Journal of Vibration and Acoustics, Vol. 141, 050101-1.