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Encyclopedia of Systems and Control pp 1–11Cite as

Feedback Control of Hybrid Dynamical Systems

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, and trajectory tracking control.

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Notes

  1. 1.

    This research has been partially supported by the National Science Foundation under CAREER Grant no. ECS-1150306 and by the Air Force Office of Scientific Research under yip Grant no. FA9550-12-1-0366.

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Author information

Authors and Affiliations

  1. Department of Computer Engineering, University of California at Santa Cruz, 1130 N. Mountain Ave, 85721, Santa Cruz,CA, USA

    Dr. Ricardo G. Sanfelice

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  1. Dr. Ricardo G. Sanfelice
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Editor information

Editors and Affiliations

  1. Electrical and Computer Engineering, Boston University, Boston, Massachusetts, USA

    John Baillieul

  2. Automation and Control Solutions, Honeywell, Golden Valley, Minnesota, USA

    Tariq Samad

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© 2015 Springer-Verlag London

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Sanfelice, D. (2015). Feedback Control of Hybrid Dynamical Systems. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_271-2

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  • DOI: https://doi.org/10.1007/978-1-4471-5102-9_271-2

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  • Publisher Name: Springer, London

  • Online ISBN: 978-1-4471-5102-9

  • eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering

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Chapter history

  1. Latest

    Hybrid Dynamical Systems, Feedback Control of
    Published:
    04 July 2020

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_271-3

  2. Feedback Control of Hybrid Dynamical Systems
    Published:
    23 March 2015

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_271-2

  3. 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

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