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Non-fragile guaranteed cost control for uncertain neutral dynamic systems with time-varying delays in state and control input

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  • Lien, Chang-Hua

Abstract

This article considers non-fragile guaranteed cost control problem for a class of uncertain neutral system with time-varying delays in both state and control input. Delay-dependent criteria are proposed to guarantee the robust stabilization of systems. Linear matrix inequality (LMI) optimization approach is used to solve the non-fragile guaranteed cost control problem. Non-fragile guaranteed cost control for unperturbed neutral system is considered in the first step. Robust non-fragile guaranteed cost control for uncertain neutral system is designed directly from the unperturbed condition. An efficient approach is proposed to design the non-fragile guaranteed cost control for uncertain neutral systems. LMI toolbox of Matlab is used to implement the proposed results. Finally, a numerical example is illustrated to show the usefulness of the proposed results.

Suggested Citation

  • Lien, Chang-Hua, 2007. "Non-fragile guaranteed cost control for uncertain neutral dynamic systems with time-varying delays in state and control input," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 889-899.
    • Handle: RePEc:eee:chsofr:v:31:y:2007:i:4:p:889-899
    DOI: 10.1016/j.chaos.2005.10.080
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    References listed on IDEAS

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    1. Park, Ju H. & Choi, K., 2005. "Guaranteed cost control of uncertain nonlinear neutral systems via memory state feedback," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 183-190.
    2. Park, Ju H. & Kwon, O.M., 2006. "Guaranteed cost control of time-delay chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 1011-1018.
    3. 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.
    4. Kwon, O.M. & Park, Ju H., 2006. "Guaranteed cost control for uncertain large-scale systems with time-delays via delayed feedback," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 800-812.
    5. Lien, Chang-Hua, 2006. "Further results on delay-dependent robust stability of uncertain fuzzy systems with time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 422-427.
    6. 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.
    7. Park, Ju H. & Kwon, O., 2005. "Controlling uncertain neutral dynamic systems with delay in control input," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 805-812.
    8. Liu, Xingwen & Zhang, Hongbin, 2005. "New stability criterion of uncertain systems with time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1343-1348.
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    Cited by:

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    2. Li, Ping & Zhong, Shou-ming & Cui, Jin-zhong, 2009. "Delay-dependent robust BIBO stabilization of uncertain system via LMI approach," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 1021-1028.
    3. 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.
    4. Zhang, Jinhui & Shi, Peng & Yang, Hongjiu, 2009. "Non-fragile robust stabilization and H∞ control for uncertain stochastic nonlinear time-delay systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3187-3196.
    5. 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.
    6. 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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