基于T-S模型的模糊控制器设计

讨论了一类由T-S模糊模型表示的不确定时滞非线性系统的模糊控制器设计问题。刻画了系统的不确定性,采用并行分布补偿的基本思想设计了状态反馈控制器,分析了现有T-S型模糊控制器设计方法计算复杂且难以求解的原因,在此基础上,提出了一种与系统实时输入相关的动态模型简化算法。同时,利用Lyapunov稳定性理论和线性矩阵不等式等有关工具,得出了该不确定时滞非线性系统的稳定条件,并给出了系统以衰减率α全局渐近稳定的充分条件,从而相应得出T-S型模糊状态反馈控制器。仿真实例表明,该设计方法的有效性。

Fuzzy Controller Designs Based on T-S Model

A design of T-S model based fuzzy controller for nonlinear system with uncertain time-delay was proposed. Firstly, the state feedback controller was designed based on the idea of parallel distributed compensation considering the uncertainties. The reason that the conventional design of T-S model based fuzzy controller was complicated and difficult to solve was analyzed. Then ,a simplified dynamic algorithm related to the real-time system input variables was presented. At the same time, the stability condition is derived using Lyapunov stability theory and linear matrix inequality. Sufficient condition with respect to decay rate a was given as well. Simulation results illustrate the validity of the proposed design.