针对一类非线性动态系统,提出了一种H∞模糊跟踪控制器设计的新方案。首先利用T-S模糊模型表示一类非线性动态系统。然后基于DPDC(态并行补偿)的基本思想设计控制器,使跟踪误差尽可能的小,并且对于任何有界参考输入,满足给定的H∞跟踪性能。最后将控制器的设计问题转化为LMIP(线性矩阵不等式问题)。仿真结果表明了本方法的有效性。
A novel scheme of H∞ fuzzy tracking control for a class of nonlinear dynamic systems is proposed. First, the T-S fuzzy model is employed to represent a nonlinear dynamic system. Second, based on the idea of DPDC(Dynamic Parallel Distributed Compensation) ,a fuzzy controller is designed to reduce tracking error as small as possible and guarantee a desired H∞ tracking performance. Finally the problem of designing the controller is translated into LMIP(Linear Matrix Inequality Problem). Simulation results illustrate the effectiveness of the proposed approach.