Abstract
The control of systems with hybrid dynamics requires algorithms capable of dealing with the intricate combination of continuous and discrete behavior, which typically emerges from the presence of continuous processes, switching devices, and logic for control. Several analysis and design techniques have been proposed for the control of nonlinear continuous-time plants, but little is known about controlling plants that feature truly hybrid behavior. This short entry focuses on recent advances in the design of feedback control algorithms for hybrid dynamical systems. The focus is on hybrid feedback controllers that are systematically designed employing Lyapunov-based methods. The control design techniques summarized in this entry include control Lyapunov function-based control, passivity-based control, trajectory tracking control, safety, and temporal logic.
This research has been partially supported by the National Science Foundation under CAREER Grant no. ECS-1150306, ECS-1710621, and CNS-1544396; by the Air Force Office of Scientific Research under Grant no. FA9550-12-1-0366, FA9550-16-1-0015, FA9550-19-1-0053, and FA9550-19-1-0169; and by CITRIS and the Banatao Institute at the University of California.
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Sanfelice, R.G. (2020). Hybrid Dynamical Systems, Feedback Control of. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_271-3
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DOI: https://doi.org/10.1007/978-1-4471-5102-9_271-3
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Chapter history
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Latest
Hybrid Dynamical Systems, Feedback Control of- Published:
- 04 July 2020
DOI: https://doi.org/10.1007/978-1-4471-5102-9_271-3
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Feedback Control of Hybrid Dynamical Systems
- Published:
- 23 March 2015
DOI: https://doi.org/10.1007/978-1-4471-5102-9_271-2
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Original
Hybrid Feedback Control For Nonlinear and Hybrid Systems- Published:
- 22 May 2014
DOI: https://doi.org/10.1007/978-1-4471-5102-9_271-1