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Robust H∞ output dynamic observer-based control of uncertain time-delay systems

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  • Chen, Jenq-Der

Abstract

In this paper, the robustness and H∞ control problems of output dynamic observer-based control for a class of uncertain linear systems with time delay are considered. Under no disturbance input, the asymptotic stabilization for uncertain time-delay systems will be guaranteed. Linear matrix inequality (LMI) optimization approach is used to design three classes of the H∞ output dynamic controls. Based on the results of this paper, the constraint of matrix equality is not necessary for designing the observer-based controls.

Suggested Citation

  • Chen, Jenq-Der, 2007. "Robust H∞ output dynamic observer-based control of uncertain time-delay systems," Chaos, Solitons & Fractals, Elsevier, vol. 31(2), pages 391-403.
    • Handle: RePEc:eee:chsofr:v:31:y:2007:i:2:p:391-403
    DOI: 10.1016/j.chaos.2005.09.076
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    Cited by:

    1. Tsai, Shun-Hung & Li, Tzuu-Hseng S., 2009. "Robust fuzzy control of a class of fuzzy bilinear systems with time-delay," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2028-2040.
    2. Xiong, Lianglin & Zhong, Shouming & Ye, Mao & Wu, Shiliang, 2009. "New stability and stabilization for switched neutral control systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1800-1811.
    3. Karimi, Hamid Reza & Zapateiro, Mauricio & Luo, Ningsu, 2009. "Stability analysis and control synthesis of neutral systems with time-varying delays and nonlinear uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 595-603.

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