Eric Butcher

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

• 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
• 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.

Proceedings Publications

• 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.

Poster Presentations

• 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.

Presentations

• 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.