Synthesis of a robust dynamic memoryless state feedback controller for systems with time-varying delays using LMIs

  • Authors:

  • Aftab A. Khattak;Naeem Iqbal

  • Affiliations:

  • Pakistan Institute of Engineering and Applied Sciences (PIEAS), Islamabad, Pakistan;Pakistan Institute of Engineering and Applied Sciences (PIEAS), Islamabad, Pakistan

  • Venue:
  • MIC '07 Proceedings of the 26th IASTED International Conference on Modelling, Identification, and Control
  • Year:
  • 2007

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Abstract

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 uncertainty taken into account is assumed to be of polytopic type. A less conservative delay-dependent Linear Matrix Inequality (LMI) method is presented based using Lyapunov-Krasovskii functional based approach. Auxiliary System based approach has been used and a sufficient condition for the robust stability is presented. The result obtained includes information on the size of the delay, and is therefore a delay-dependent robust stability condition. Also a robust dynamic memoryless state feedback controller is designed for the stabilization of the system. Illustrative numerical examples are given to reflect the effectiveness of our results.