Delay-dependent H∞ control of linear discrete-time systems with an interval-like time-varying delay

  • Authors:

  • Yong He;Min Wu;Qing-Long Han;Jin-Hua She

  • Affiliations:

  • School of Information Science and Engineering, Central South University, Changsha 410083, China;School of Information Science and Engineering, Central South University, Changsha 410083, China;School of Computing Sciences, Central Queensland University, Rockhampton, Qld 4702, Australia;School of Bionics, Tokyo University of Technology, Tokyo, Japan

  • Venue:
  • International Journal of Systems Science
  • Year:
  • 2008

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Abstract

The free-weighting-matrix approach is developed to study the H∞ control of linear discrete-time systems with an interval-like time-varying delay. First, a delay-and range-dependent criterion for a given H∞ performance is derived. Second, a memoryless H∞ state-feedback controller is designed based on a performance analysis. Finally, two numerical examples demonstrate the effectiveness of the proposed method and show that both the upper bound and range of an interval-like time-varying delay affect the stability and/or H∞ performance of a system.