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Robust Reliable Control for Uncertain Time-Delay Systems with IQC Performance

Author

Listed:
  • C. H. Lien

    (National Kaohsiung Marine University)

  • K. W. Yu

    (National Kaohsiung Marine University)

Abstract

A robust reliable control with integral quadratic constraint (IQC) performance for a class of uncertain systems with state and input delays is considered in this paper. Two classes of failure situations for sensor or actuator are studied. In the first class, a delay-dependent criterion for time-delay systems without perturbations is proposed to design the reliable control with IQC performance. Next, a criterion for uncertain time-delay systems with parameter uncertainties is obtained via simple derivations. The linear matrix inequality (LMI) approach is used to design a robust reliable state feedback control with IQC performance. In the second class, a reliable control with IQC performance is also provided from he previous method. A numerical example is given to illustrate the effectiveness of the procedure.

Suggested Citation

  • C. H. Lien & K. W. Yu, 2008. "Robust Reliable Control for Uncertain Time-Delay Systems with IQC Performance," Journal of Optimization Theory and Applications, Springer, vol. 138(2), pages 235-251, August.
    • Handle: RePEc:spr:joptap:v:138:y:2008:i:2:d:10.1007_s10957-008-9374-6
    DOI: 10.1007/s10957-008-9374-6
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    References listed on IDEAS

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    1. Lien, Chang-Hua, 2007. "H∞ non-fragile observer-based controls of dynamical systems via LMI optimization approach," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 428-436.
    2. Yu, Ker-Wei & Lien, Chang-Hua, 2008. "Robust H∞ control for uncertain T–S fuzzy systems with state and input delays," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 150-156.
    3. Lien, Chang-Hua & Yu, Ker-Wei, 2008. "Robust control for Takagi–Sugeno fuzzy systems with time-varying state and input delays," Chaos, Solitons & Fractals, Elsevier, vol. 35(5), pages 1003-1008.
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    Cited by:

    1. Sun, Shaoxin & Li, Ting & Pang, Yongheng & Hua, Xingxing, 2022. "Multiple delay-dependent event-triggered finite-time H∞ filtering for uncertain networked random systems against state and input constraints," Applied Mathematics and Computation, Elsevier, vol. 415(C).

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