基于T-S模糊性能评估器的非线性系统跟踪控制器设计

Fuzzy Tracking Control Design for Nonlinear Systems via T-S Fuzzy Performance Evaluator

讨论了一类非线性系统的H∞状态反馈跟踪控制器设计问题.区别于传统的模糊控制设计方法,该文提出的控制策略由模糊性能评估器(FPE)和控制器(FC)两部分组成.模糊性能评估器为模糊模型和控制策略提供了一种校验方法,可以间接地判断闭环控制的效果,从而提供了一种模糊控制系统无损调试的新方法.文中以线性矩阵不等式组(LMIs)的形式,给出了模糊性能评估器和控制器存在的充分条件.

Fuzzy control design method for a class of nonlinear system with H∞ tracking performance is introduced. Compared with the traditional fuzzy controller, the scheme is made up of two parts: fuzzy performance evaluator (FPE) and fuzzy controller (FC). FPE offers a method to verify the validity of fuzzy models and controller. The performance of closed-loop system is evaluated indirectly via the FPE. This procedure will not cause any damage to the original system. So it may be called a nondestructive debugging method. Some sufficient conditions are derived for the existence of FPE and FC via solving the linear matrix inequalities (LMIs).