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

• 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
• 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

Proceedings Publications

• 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.

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. (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.

Others

• Burnett, E., Sinclair, A., & Butcher, E. (2019, Feb). Coordinate-Invariant Linear Quadratic Control. abstract for International Association of Applied Mathematics and Mechanics, Vienna, Feb. 18-22, 2019.