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Optimization Approach to the Robustness of Linear Delay Systems

Author

Listed:
  • M. L. Ni

    (Nanyang Technological University)

  • M. J. Er

    (Nanyang Technological University)

Abstract

By using the Lyapunov equation approach and an improved Razumikhin-type theorem, this paper presents a new robust stability criterion for a linear system subject to delayed time-varying nonlinear perturbations. Then, by using a parameter optimization technique, an efficient algorithm is derived for determining a desirable matrix for the Lyapunov equation. As a consequence, less conservative robust stability bounds for the perturbed system are achieved. Numerical examples are included to demonstrate the effectiveness of the proposed approach.

Suggested Citation

  • M. L. Ni & M. J. Er, 2001. "Optimization Approach to the Robustness of Linear Delay Systems," Journal of Optimization Theory and Applications, Springer, vol. 111(1), pages 155-163, October.
    • Handle: RePEc:spr:joptap:v:111:y:2001:i:1:d:10.1023_a:1017527532270
    DOI: 10.1023/A:1017527532270
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    References listed on IDEAS

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    1. H. S. Wu, 1999. "Decentralized Stabilizing State Feedback Controllers for a Class of Large-Scale Systems Including State Delays in the Interconnections," Journal of Optimization Theory and Applications, Springer, vol. 100(1), pages 59-87, January.
    2. Kubo, T. & Shimemura, E., 1998. "Exponential stabilization of systems with time-delay by optimal memoryless feedback," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 45(3), pages 319-328.
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