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A Fuzzy Approach to Robust Control of Stochastic Nonaffine Nonlinear Systems

机译：随机非仿射非线性系统的鲁棒控制的模糊方法

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摘要

This paper investigates the stabilization problem for a class of discrete-time stochastic non-affine nonlinear systems based on T-S fuzzy models. Based on the function approximation capability of a class of stochastic T-S fuzzy models, it is shown that the stabilization problem of a stochastic non-affine nonlinear system can be solved as a robust stabilization problem of the stochastic T-S fuzzy system with the approximation errors as the uncertainty term. By using a class of piecewise dynamic feedback fuzzy controllers and piecewise quadratic Lyapunov functions, robust semiglobal stabilization condition of the stochastic non-affine nonlinear systems is formulated in terms of linear matrix inequalities. A simulation example illustrating the effectiveness of the proposed approach is provided in the end.
机译：基于T-S模糊模型，研究了一类离散时间随机非仿射非线性系统的镇定问题。基于一类随机TS模糊模型的函数逼近能力，证明了随机非仿射非线性系统的稳定问题可以作为具有近似误差的随机TS模糊系统的鲁棒稳定问题解决。不确定项。通过使用一类分段动态反馈模糊控制器和分段二次Lyapunov函数，根据线性矩阵不等式，构造了随机非仿射非线性系统的鲁棒半全局镇定条件。最后提供了一个仿真示例，说明了所提出方法的有效性。

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  • 来源
    《Mathematical Problems in Engineering》 |2012年第12期|439805.1-439805.17|共17页
  • 作者

    Ting-Ting Gang; Jun Yang; Qing Gao; Yu Zhao; Jianbin Qiu;

  • 作者单位

    School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China;

    School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China;

    Department of Automation, University of Science and Technology of China, Hefei 230027, China,Department of Mechanical and Biomedical Engineering, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong;

    School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China;

    Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150001, China;

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