Further Results Concerning Delay-Dependent Control for Uncertain Discrete-Time Systems with Time-Varying Delay

Guangdeng Zong, Linlin Hou and Hongyong Yang

Mathematical Problems in Engineering, 2009, vol. 2009, 1-24

Abstract:

This paper addresses the problem of control for uncertain discrete-time systems with time-varying delays. The system under consideration is subject to time-varying norm-bounded parameter uncertainties in both the state and controlled output. Attention is focused on the design of a memoryless state feedback controller, which guarantees that the resulting closed-loop system is asymptotically stable and reduces the effect of the disturbance input on the controlled output to a prescribed level irrespective of all the admissible uncertainties. By introducing some slack matrix variables, new delay-dependent conditions are presented in terms of linear matrix inequalities (LMIs). Numerical examples are provided to show the reduced conservatism and lower computational burden than the previous results.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:732181

DOI: 10.1155/2009/732181

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