非线性离散系统的H_∞ PI模糊控制器设计

H_∞PI fuzzy controller design for nonlinear discrete-time systems

提出了一种非线性离散系统H∞PI模糊控制器的设计方法.将非线性系统用T-S模糊动态模型表示,通过并行分配补偿(PDC)方法设计控制器,利用线性矩阵不等式方法给出PI控制器存在的充分条件.所设计的控制器使得闭环系统渐近稳定并满足给定的H∞性能,仿真算例说明了设计方法的有效性.

This paper deals with the problem of H∞ PI fuzzy controller design for nonlinear discrete-time systems.Firstly,the nonlinear system can be represented by a fuzzy dynamic model;next,the parallel distributed compensation(PDC) method is used.A sufficient condition for existence of a H∞ PI fuzzy controller,such that the closed-loop system is stable and guarantee a prescribed H∞ performance is present via linear matrix inequalities(LMIs).A numerical example is provided to demonstrate the validity of the proposed...