Output feedback $H^{\inty}$ Control for Linear Systems with Time-varying Delayed State

  • Jeung, Eun-Tae (School of Electronic and Electrical Engineering, Kyungpook National University) ;
  • Oh, Do-Chang (School of Electronic and Electrical Engineering, Kyungpook National University) ;
  • Kim, Jong-Hae (School of Electronic and Electrical Engineering, Kyungpook National University) ;
  • Park, Hong-Bae (School of Electronic and Electrical Engineering, Kyungpook National University)
  • Published : 1996.10.01

Abstract

This note considers the $H^{\infty}$ controller design problem for linear systems with time-varying delays in states. We obtain sufficient conditions for the existence of k-th order $H^{\infty}$ controllers in terms of three linear matrix ineualities(LMIs). These sufficient conditions are dependent on the maximum value of the time derivative of time-varying delay. Furthermore, we briefly explain how to construct such controllers from the positive definite solutions of their LMIs and give an example.e.

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