NDLI: A Hybrid Bellman Equation for systems with regional dynamics

Content Provider	IEEE Xplore Digital Library
Author	Schollig, A. Caines, P.E. Egerstedt, M. Malhame, R.
Copyright Year	2007
Description	Author affiliation: Georgia Inst. of Technol., Atlanta (Schollig, A.)
Abstract	In this paper, we study hybrid systems with regional dynamics, i.e., systems where transitions between different dynamical regimes occur as the continuous state of the system reaches given switching surfaces. In particular, we focus our attention on the optimal control problem associated with such systems, and we present a Hybrid Bellman Equation for such systems that provide a characterization of global optimality, given an upper bound on the number of switches. Not surprisingly, the solution will be hybrid in nature in that it will depend on not only the continuous control signals, but also on discrete decisions as to what domains the system should go through in the first place. A number of examples are presented to highlight the operation of the proposed approach.
Starting Page	3393
Ending Page	3398
File Size	221335
Page Count	6
File Format	PDF
ISBN	9781424414970
ISSN	01912216
DOI	10.1109/CDC.2007.4434952
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-12-12
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Control systems Optimal control Switches Dynamic programming State-space methods Differential equations USA Councils Upper bound Automatic control Automata finite automata Hybrid systems optimal control Bellman equation dynamic programming
Content Type	Text
Resource Type	Article

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