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Actuator Saturation Constrained Fuzzy Control for Discrete Stochastic Fuzzy Systems with Multiplicative Noises

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  • Wen-Jer Chang
  • Cheung-Chieh Ku
  • Hao-Jie Liang

Abstract

This paper deals with the fuzzy controller design problem for discrete-time Takagi-Sugeno (T-S) fuzzy systems with multiplicative noises. Using the Lyapunov stability theory and Itô formula, the sufficient conditions are derived to guarantee the stability of the closed-loop nonlinear stochastic systems subject to actuator saturation. Based on the Parallel Distributed Compensation (PDC) concept, the fuzzy controller can be obtained to stabilize the T-S fuzzy models with multiplicative noises by combining the same membership functions of plants and desired state feedback gains. In order to illustrate the availability and practicability of proposed fuzzy controller design approach, the numerical simulations for the nonlinear truck-trailer system are given to demonstrate the applications of this paper.

Suggested Citation

  • Wen-Jer Chang & Cheung-Chieh Ku & Hao-Jie Liang, 2013. "Actuator Saturation Constrained Fuzzy Control for Discrete Stochastic Fuzzy Systems with Multiplicative Noises," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-9, December.
    • Handle: RePEc:hin:jnlmpe:732939
    DOI: 10.1155/2013/732939
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