T-S模糊系统的改进型H_∞控制器

Improved H_∞ controller for T-S fuzzy systems

为了研究T-S模糊系统的H∞控制问题,提出了一种T-S模糊系统的改进型二次稳定条件.与已有的相关结论相比,该条件进一步考虑到模糊子系统之间的相互关系,并将其表示为一系列线性矩阵不等式,因此,具有更小的保守性.以改进型二次稳定条件为基础,给出T-S模糊系统H∞控制器存在条件,控制器参数可以通过求解一组线性矩阵不等式获得.仿真计算结果表明,所提方法是有效的,同时比已有方法具有更广的适用范围.

In order to research H∞control of T-S fuzzy systems,an improved quadratic stability condition for T-S fuzzy systems was proposed. Compared with the existed results,this condition further considered the interactions of fuzzy subsystems and denoted them as a series of linear matrix inequalities,and thus had the lower conservatism. An existing condition of H∞controller was proposed based on the improved quadratic stability condition. The controller parameters could be obtained by solving a set of linear matrix inequalities. The simulation result shows that the proposed method is effective and has a wider application range than the existed methods.