Dynamic output feedback guaranteed cost control for linear systems with interval time-varying delays in states and outputs

  • Thuan M
  • Phat V
  • Trinh H
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Abstract

This paper addresses the dynamic output feedback guaranteed cost control problem of a class of time-delay systems where the state and output contain interval non-differentiable time-varying delays. The proposed controller uses only the delayed output measurement to stabilize the closed-loop system and guarantee an adequate level of system performance. By constructing a set of multiple Lyapunov-Krasovskii functionals which include triple-integral terms, a new criterion for the existence of dynamic output feedback guaranteed cost controllers is established and expressed in terms of linear matrix inequality (LMI). A numerical example is given to illustrate the obtained results. © 2012 Elsevier Inc. All rights reserved.

Author-supplied keywords

  • Dynamic output feedback
  • Exponential stabilization
  • Interval time-varying delays
  • Linear matrix inequality
  • Lyapunov function

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