Optimal control of sampled-data piecewise affine systems

This paper discusses the optimal continuous-time control problem of a class of piecewise affine (PWA) systems, where the switching action of the discrete state is determined at each sampling time according to a condition on the continuous state. Such a system is called here the sampled-data PWA (SD-...

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Bibliographic Details
Published in:Automatica (Oxford) 2004-04, Vol.40 (4), p.661-669
Main Author: Imura, Jun-ichi
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control theory. Systems
Exact sciences and technology
Hybrid systems
Logical events
Optimal continuous-time control
Piecewise affine systems
Sampled data
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Summary:This paper discusses the optimal continuous-time control problem of a class of piecewise affine (PWA) systems, where the switching action of the discrete state is determined at each sampling time according to a condition on the continuous state. Such a system is called here the sampled-data PWA (SD-PWA) system. First, important remarks on the control design of this system via the continuous-(or discrete-)time PWA model are pointed out, which motivate us to use the SD-PWA model. Next, based on the good properties of the proposed model, an optimal continuous-time controller of the SD-PWA systems is proposed.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2003.11.012