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Fuzzy Observer-Based Output-Feedback Control for Stochastic Nonlinear Systems with Multiplicative Noise

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  • Wenxuan Yang
  • Ting Hou

Abstract

A design method is established for the mixed output-feedback control of stochastic nonlinear systems with multiplicative noise. Firstly, using T-S fuzzy rules, we obtain a fuzzy model to approximate the original nonlinear system. Then, by Schur’s complement, the suboptimal output-feedback control design is transformed into a two-step convex optimization problem. A numerical example is given to show the effectiveness of the proposed method.

Suggested Citation

  • Wenxuan Yang & Ting Hou, 2021. "Fuzzy Observer-Based Output-Feedback Control for Stochastic Nonlinear Systems with Multiplicative Noise," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-11, July.
    • Handle: RePEc:hin:jnlmpe:7282940
    DOI: 10.1155/2021/7282940
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