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Delay-dependent robust H∞ control of uncertain neutral systems with state and input delays: LMI optimization approach

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  • Chen, Jenq-Der

Abstract

The H∞ robust control problem for a class of uncertain neutral system with both state and input delays is considered. By choosing a Lyapunov–Krasovskii functional, some delay-dependent criteria are proposed to guarantee stabilization and disturbance attenuation of the systems. Linear matrix inequality (LMI) optimization approach is used to solve the H∞ control disturbance attenuation problem. Significant improvement for the delay-dependent results has been reached. Computer software Matlab can be applied to obtain all the proposed results. Finally, some numerical examples are given to illustrate the improvement archived in this paper.

Suggested Citation

  • Chen, Jenq-Der, 2007. "Delay-dependent robust H∞ control of uncertain neutral systems with state and input delays: LMI optimization approach," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 595-606.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:2:p:595-606
    DOI: 10.1016/j.chaos.2006.01.024
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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. Park, Ju H., 2005. "Dynamic output guaranteed cost controller for neutral systems with input delay," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1819-1828.
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    Cited by:

    1. 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.
    2. 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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