Elsevier

Automatica

Volume 35, Issue 9, September 1999, Pages 1625-1631
Automatica

Technical Communique
H control for discrete-time linear systems with Frobenius norm-bounded uncertainties

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Abstract

In this paper, we consider the problems of robust stability and control for the class of uncertain discrete-time linear systems with Frobenius norm-bounded parameter uncertainties in all matrices of the system and output equations. Necessary and sufficient conditions for the above problems are proposed. A linear static state feedback control law is designed, which is in terms of a Riccati inequality. The results obtained here show that the robust control problem of the uncertain system is equivalent to the control problem for a corresponding uncertainty-free system.

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This paper was not presented at any IFAC meeting. This paper was recommended for publication in revised form by Editor P. Dorato.

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