Fault-tolerant H∞control for discrete descriptor linear systems with time delay

  • Authors:

  • Rui-Zhi Zhang;Xin-Rong Yang;Xian Zhang

  • Affiliations:

  • School of Mathematical Science, Heilongjiang University, Harbin, China;School of Mathematical Science, Heilongjiang University, Harbin, China;School of Mathematical Science, Heilongjiang University, Harbin, China

  • Venue:
  • CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
  • Year:
  • 2009

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Abstract

The problem of H∞ fault-tolerant control is considered for a class of discrete descriptor linear time-delay systems satisfying continuous fault model. Based on Lyapunov stability theory and linear matrix inequality (LMI) approach, a sufficient condition is presented to guarantee the existence of memoryless static output feedback such that the resultant closed-loop system is admissible and its H∞ norm is bounded. The static output feedback is constructed by the solution of a group of linear matrix inequalities. A numerical example illustrates the validity of our approach.