模糊系统时滞相关模糊控制器的设计

Design of Delay-Dependent Fuzzy Controller for Fuzzy Bilinear System

  • 摘要: 对一类带有时变时滞的离散模糊双线性系统,提出了一种基于新型的Lyapunov函数的时滞相关稳定控制器.采用并行分布补偿算法和自由权值矩阵相结合的方法,得到了与时滞有关系统的渐近稳定充分条件.控制器的设计可通过求解一系列线性矩阵不等式(LMI)获得.通过仿真实验验证了所提方法的有效性.

     

    Abstract: For a class of discrete-time fuzzy bilinear systems with delay, a delay-dependent stability controller is designed and analyzed based on a type of new Lyapunov function in this paper. By the combined approaches of parallel distributed compensation (PDC) and free-weighting matrices, some sufficient conditions are derived to guarantee the asymptotically stability. The stabilization conditions of controller are turned into the problem of solving linear matrix inequalities (LMIs), so that the controller design could be accomplished by using Matlab LMI toolbox. A simulation example is provided to demonstrate the effectiveness of the approaches.

     

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