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2017 | OriginalPaper | Chapter

3. Hybrid Systems and Hybrid Optimal Control

Authors : Thomas J. Böhme, Benjamin Frank

Published in: Hybrid Systems, Optimal Control and Hybrid Vehicles

Publisher: Springer International Publishing

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Abstract

Whenever a dynamic system has continuous-valued control inputs and states, but can switch between multiple subsystems with different dynamical behaviors, different numbers of active inputs and states, etc., then the dynamic system can be modeled as a hybrid system. Hybrid systems occur naturally in many technical applications as well as in applications from natural sciences as biology or chemistry. A simple example of a discrete decision may be the on/off command of a heating system. More complex decisions are gear choices or different operation modes of the internal combustion engine in automotive applications. In this book, the focus is on switched systems, a subclass of hybrid systems that switch between subsystems only in response to a command. This subclass already covers a great range of technical problems. This chapter provides the basic definitions for switched systems necessary to formulate optimal control problems.

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Metadata
Title
Hybrid Systems and Hybrid Optimal Control
Authors
Thomas J. Böhme
Benjamin Frank
Copyright Year
2017
Book
Hybrid Systems, Optimal Control and Hybrid Vehicles

Print ISBN: 978-3-319-51315-7

Electronic ISBN: 978-3-319-51317-1

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-51317-1_3