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Finite sum equality approach to H∞ output-feedback control for switched linear discrete-time systems with time-varying delay

Finite sum equality approach to H∞ output-feedback control for switched linear discrete-time systems with time-varying delay

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  • Author(s): K. Hu 1, 2  and  J. Yuan 2
    • View affiliations
    • Affiliations: 1: Department of Electrical Engineering and Automation, Luoyang Institute of Science and Technology, Luoyang, People's Republic of China
      2: Department of Automation, Shanghai Jiao Tong University, Shanghai, People's Republic of China
  • Source: Volume 3, Issue 8, August 2009, p. 1006 – 1016
    DOI:  10.1049/iet-cta.2008.0122 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Published

This study deals with the problem of H∞ output-feedback control for switched linear discrete-time systems with time-varying delay. A delay-dependent stability criterion for a given H∞ performance is derived by employing finite sum equality based on quadratic terms, a new method of estimating the upper bound on the finite sum. Both static and dynamic H∞ output-feedback controllers are designed based on a performance analysis. Moreover, a modified cone complementary linearisation algorithm is exploited to solve the non-convex feasibility problem. Numerical examples are given to illustrate the theoretical results.

Inspec keywords: time-varying systems; discrete time systems; delays; control system analysis; control system synthesis

Other keywords: delay-dependent stability criterion; static H? output-feedback controller; cone complementary linearisation algorithm; performance analysis; quadratic terms; upper bound; nonconvex feasibility problem; dynamic H∞ output-feedback controller; controller design; H∞ performance; finite sum equality approach; switched linear discrete-time systems; time-varying delay

Subjects: Control system analysis and synthesis methods; Distributed parameter control systems; Time-varying control systems; Discrete control systems

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