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, Lyapunov-Krasovskii 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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