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Guaranteed cost control of uncertain nonlinear neutral systems via memory state feedback

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  • Park, Ju H.
  • Choi, K.

Abstract

This article studies a guaranteed cot control problem for a class of uncertain nonlinear neutral systems. Attention is focused on the design of memory state feedback controllers such that the resulting closed-loop system is asymptotically stable and an adequate level of performance is also guaranteed. Using the Lyapunov method and LMI (linear matrix inequality) technique, two criteria for the existence of the controller are derived in terms of LMIs. A numerical example is given to illustrate the proposed method.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:1:p:183-190
    DOI: 10.1016/j.chaos.2004.09.005
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    Cited by:

    1. Lien, Chang-Hua & Yu, Ker-Wei, 2008. "LMI optimization approach on robustness and H∞ control analysis for observer-based control of uncertain systems," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 617-627.
    2. 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.
    3. O. M. Kwon & J. H. Park & S. M. Lee, 2008. "Exponential Stability for Uncertain Dynamic Systems with Time-Varying Delays: LMI Optimization Approach," Journal of Optimization Theory and Applications, Springer, vol. 137(3), pages 521-532, June.
    4. Harshavarthini, S. & Sakthivel, R. & Ma, Yong-Ki & Muslim, M., 2020. "Finite-time resilient fault-tolerant investment policy scheme for chaotic nonlinear finance system," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    5. Chen, Jenq-Der, 2007. "Robust output observer-based control of neutral uncertain systems with discrete and distributed time delays: LMI optimization approach," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1254-1264.
    6. Aghayan, Zahra Sadat & Alfi, Alireza & Mousavi, Yashar & Kucukdemiral, Ibrahim Beklan & Fekih, Afef, 2022. "Guaranteed cost robust output feedback control design for fractional-order uncertain neutral delay systems," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).

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