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

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2 Author(s)
Hai Lin ; Nat. Univ. of Singapore, Singapore ; Antsaklis, P.J.

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:

Intelligent Control, 2007. ISIC 2007. IEEE 22nd International Symposium on

Date of Conference:

1-3 Oct. 2007