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Robust Control for Linear Stochastic Partial Differential Systems with Time Delay

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  • Xisheng Dai
  • Feiqi Deng
  • Jianxiang Zhang

Abstract

This paper investigates the problems of robust stochastic mean square exponential stabilization and robust for stochastic partial differential time delay systems. Sufficient conditions for the existence of state feedback controllers are proposed, which ensure mean square exponential stability of the resulting closed-loop system and reduce the effect of the disturbance input on the controlled output to a prescribed level of performance. A linear matrix inequality approach is employed to design the desired state feedback controllers. An illustrative example is provided to show the usefulness of the proposed technique.

Suggested Citation

  • Xisheng Dai & Feiqi Deng & Jianxiang Zhang, 2014. "Robust Control for Linear Stochastic Partial Differential Systems with Time Delay," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-8, June.
    • Handle: RePEc:hin:jnlmpe:489408
    DOI: 10.1155/2014/489408
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