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Delay-Dependent Nonfragile H ∞ Observer-Based Control for Neutral Systems with Time Delays in the State and Control Input

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  • J. D. Chen

    (National Kinmen Institute of Technology)

Abstract

The problem of the delay-dependent nonfragile H ∞ observer-based control for a class of neutral systems with time delays is investigated. The additive gain variations under consideration are contained in both the controller gain and the observer gain. Novel delay-dependent criteria are derived to guarantee the stability of the nonfragile H ∞ observer-based control system using the Lyapunov function approach combined with linear matrix inequalities (LMI). The controller and observer gains are given from the LMI feasible solutions. Based on the result of this paper, the constraint of matrix equality is not necessary for designing a nonfragile H ∞ observer-based control. The computer software Matlab can be applied to solve the proposed problems. Finally, a numerical example is given illustrating the design of the nonfragile H ∞ observer-based control.

Suggested Citation

  • J. D. Chen, 2009. "Delay-Dependent Nonfragile H ∞ Observer-Based Control for Neutral Systems with Time Delays in the State and Control Input," Journal of Optimization Theory and Applications, Springer, vol. 141(2), pages 445-460, May.
    • Handle: RePEc:spr:joptap:v:141:y:2009:i:2:d:10.1007_s10957-008-9392-4
    DOI: 10.1007/s10957-008-9392-4
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    References listed on IDEAS

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    1. J. D. Chen, 2005. "LMI-Based Robust H∞ Control of Uncertain Neutral Systems with State and Input Delays," Journal of Optimization Theory and Applications, Springer, vol. 126(3), pages 553-570, September.
    2. C.H. Lien, 2005. "Stability and Stabilization Criteria for a Class of Uncertain Neutral Systems with Time-Varying Delays," Journal of Optimization Theory and Applications, Springer, vol. 124(3), pages 637-657, March.
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    Cited by:

    1. O. M. Kwon & J. H. Park & S. M. Lee, 2010. "An Improved Delay-Dependent Criterion for Asymptotic Stability of Uncertain Dynamic Systems with Time-Varying Delays," Journal of Optimization Theory and Applications, Springer, vol. 145(2), pages 343-353, May.

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