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Hybrid H state feedback control for discrete-time switched linear systems

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2 Author(s)
Hai Lin ; ECE Dept., National University of Singapore, Singapore 117576. E-mail: elelh@nus.edu.sg ; Panos J. Antsaklis

In this paper, the co-design of continuous-variable controllers and discrete-event switching logics, both in state feedback form, for discrete-time switched linear control systems is investigated. Sufficient synthesis conditions for this co-design problem are proposed here in the form of bilinear matrix inequalities, which is based on the argument of multiple Lyapunov functions. The closed-loop switched system forms a special class of piecewise linear hybrid systems, and is shown to be exponentially stable with a finite l2 induced gain.

Published in:

2007 IEEE 22nd International Symposium on Intelligent Control

Date of Conference:

1-3 Oct. 2007