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H control for discrete-time uncertain singular systems with interval time-varying state and input delays

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3 Author(s)
Cui Shaochun ; Sch. of Math. Sci., Heilongjiang Univ., Harbin, China ; Zhu Huanyu ; Zhang Xian

This study focuses on the H control problem of a class of discrete-time uncertain singular systems with interval time-varying state and input delays. A sufficient condition, in the form of linear matrix inequality (LMI) with nonlinear constraints, for the existence of H state feedback controller is given by combining Lyapunov approach and LMI technique. In order to solve the nonlinear problem, a cone complementarity linearization algorithm is offered. As a medium step, a new bounded real lemma for discrete-time singular systems with a pair of interval time-varying state delays is obtained. Two numerical examples are provided to show the applicability of the proposed approach.

Published in:

Control Conference (CCC), 2011 30th Chinese

Date of Conference:

22-24 July 2011

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