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H∞ Observer-Based Control for a Class of Uncertain Neutral Time-Delay Systems via LMI Optimization Approach

Author

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  • C. H. Lien

    (I-Shou University)

Abstract

In this paper, the H∞ observer-based control for a class of uncertain neutral time-delay systems is considered. The linear matrix inequality (LMI) optimization approach is used to design the H∞ robust control with disturbance attenuation. Two classes of observer-based controls are proposed and their H∞-norm bounds are given. The control and observer gains are given from the LMI feasible solutions. A numerical example is given to illustrate the results.

Suggested Citation

  • C. H. Lien, 2005. "H∞ Observer-Based Control for a Class of Uncertain Neutral Time-Delay Systems via LMI Optimization Approach," Journal of Optimization Theory and Applications, Springer, vol. 127(1), pages 129-144, October.
    • Handle: RePEc:spr:joptap:v:127:y:2005:i:1:d:10.1007_s10957-005-6396-1
    DOI: 10.1007/s10957-005-6396-1
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    Cited by:

    1. O. M. Kwon & J. H. Park & S. M. Lee, 2010. "An Improved Delay-Dependent Criterion for Asymptotic Stability of Uncertain Dynamic Systems with Time-Varying Delays," Journal of Optimization Theory and Applications, Springer, vol. 145(2), pages 343-353, May.
    2. Qian, Wei & Liu, Juan & Fei, Shumin, 2012. "New augmented Lyapunov functional method for stability of uncertain neutral systems with equivalent delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 84(C), pages 42-50.

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