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LMI Optimization Approach to Observer-Based Controller Design of Uncertain Time-Delay Systems via Delayed Feedback

Author

Listed:
  • O. M. Kwon

    (Mechatronics Center, Samsung Heavy Industries)

  • J. H. Park

    (Yeungnam University)

  • S. M. Lee

    (POSTECH)

  • S. C. Won

    (POSTECH)

Abstract

In this paper, we propose a design method of an observer-based controller for uncertain time-delay systems by delayed feedback. Based on the Lyapunov method, an LMI (linear matrix inequality) criterion is derived to design an observer-based controller which makes the system stable. A numerical example is included to illustrate the design procedure.

Suggested Citation

  • O. M. Kwon & J. H. Park & S. M. Lee & S. C. Won, 2006. "LMI Optimization Approach to Observer-Based Controller Design of Uncertain Time-Delay Systems via Delayed Feedback," Journal of Optimization Theory and Applications, Springer, vol. 128(1), pages 103-117, January.
    • Handle: RePEc:spr:joptap:v:128:y:2006:i:1:d:10.1007_s10957-005-7560-3
    DOI: 10.1007/s10957-005-7560-3
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    Cited by:

    1. 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.
    2. Majeed, Raafia & Ahmad, Sohaira & Rehan, Muhammad, 2015. "Delay-range-dependent observer-based control of nonlinear systems under input and output time-delays," Applied Mathematics and Computation, Elsevier, vol. 262(C), pages 145-159.

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