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Control Design for Discrete-Time Fuzzy Systems with Disturbance Inputs via Delta Operator Approach

机译：离散算子输入的离散模糊系统的Delta算子控制设计

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摘要

This paper is concerned with the problem of passive control design for discrete-time Takagi-Sugeno (T-S) fuzzy systems with time delay and disturbance input via delta operator approach. The discrete-time passive performance index is established in this paper for the control design problem. By constructing a new type of Lyapunov-Krasovskii function (LKF) in delta domain, and utilizing some fuzzy weighing matrices, a new passive performance condition is proposed for the system under consideration. Based on the condition, a state-feedback passive controller is designed to guarantee that the resulting closed-loop system is very-strictly passive. The existence conditions of the controller can be expressed by linear matrix inequalities (LMIs). Finally, a numerical example is provided to demonstrate the feasibility and effectiveness of the proposed method.
机译：本文涉及具有时间滞后和通过增量算子输入的扰动的离散Takagi-Sugeno（T-S）模糊系统的被动控制设计问题。针对控制设计问题，建立了离散时间被动性能指标。通过构造一种新型的三角域Lyapunov-Krasovskii函数（LKF），并利用一些模糊加权矩阵，为所考虑的系统提出了一种新的被动性能条件。根据条件，设计了一种状态反馈无源控制器，以确保最终的闭环系统非常严格地是无源的。控制器的存在条件可以用线性矩阵不等式（LMI）表示。最后，通过算例说明了该方法的可行性和有效性。

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  • 来源
    《Mathematical Problems in Engineering》 |2013年第14期|724918.1-724918.13|共13页
  • 作者

    Qi Zhou; Yabin Gao; Hongyi Li; Hamid Reza Karimi;

  • 作者单位

    College of Information Science and Technology, Bohai University, Jinzhou, Liaoning 121013, China;

    College of Information Science and Technology, Bohai University, Jinzhou, Liaoning 121013, China;

    College of Engineering, Bohai University, Jinzhou, Liaoning 121013, China;

    Department of Engineering of the Faculty of Engineering and Science, University of Agder, Grimstad, Norway;

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