基于双线性矩阵不等式的H_∞无穷离散时间模糊控制器设计(英文)

H_∞-infinity discrete time fuzzy controller design based on bilinear matrix inequality

本文基于分片光滑Lyapunov函数,为离散模糊动态系统提出了一种H∞无穷控制综合方法.该方法的基本思想是:通过构造模糊动态系统的控制器,使得分片光滑Lyapunov函数可用来分析闭环模糊控制系统的全局稳定性及其H∞无穷性能指标.相应的控制率可通过求解一组双线性矩阵不等式而获得.最后,给出一个例子来说明本文方法的实用性.

This paper presents an H∞ controller synthesis method for discrete time fuzzy dynamic systems based on a pieeewise smooth Lyapunov function. The basic idea of the proposed approach is to construct controllers for the fuzzy dynamic systems in such a way that a piecewise smooth Lyapunov function can be used to establish the global stability with H∞ performance of the resuiting closed loop fuzzy control systems. It is shown that the control laws can be obtained by solving a set of Bilinear Matrix Inequalities （BMIs）. An example is given to ilhtstrate the application of the propesed method.