Delay-dependent robust H∞ control for uncertain discrete-time singular systems with time-delays

  • Authors:
  • Shuping Ma;Chenghui Zhang;Zhaolin Cheng

  • Affiliations:
  • School of Mathematics and System Science, Shandong University, Jinan 250100, China and School of Computer Science and Technology, Shandong University, China;School of Control Science and Engineering, Shandong University, Jinan 250061, China;School of Mathematics and System Science, Shandong University, Jinan 250100, China

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2008

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Abstract

The robust memoryless state feedback H"~ control problem for uncertain time-delay discrete-time singular systems is discussed. Under a series of equivalent transformation, the equivalence of this problem and the robust state feedback H"~ control problem for standard state-space uncertain time-delay discrete-time systems is presented. In terms of matrix inequality, the delay-dependent sufficient condition for the solution of this problem is given, the design method of the memoryless state feedback controller and the controller are also given.