Synthesis of a Robust Dynamic Memoryless State Feedback Controller for Systems with Time-Varying Delays using LMIS

A.A. Khattak and N. Iqbal (Pakistan)


Asymptotic Stability, Dynamic Controller, LMI, Time varying delay, LyapunovKrasovskii functional, polytopic uncertainty.


This paper encircles the robust stability and stabilization of linear uncertain dead-time systems with state-delay. The delay is time-varying, unknown but bounded. The un certainty taken into account is assumed to be of poly topic type. A less conservative delay-dependent Linear Matrix Inequality (LMI) method is presented based using Lyapunov-Krasovskii functional based approach. Auxil iary System based approach has been used and a suffi cient condition for the robust stability is presented. The result obtained includes information on the size of the de lay, and is therefore a delay-dependent robust stability con dition. Also a robust dynamic memoryless state feedback controller is designed for the stabilization of the system. Illustrative numerical examples are given to reflect the ef fectiveness of our results.

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