TS-PID模糊控制器的IO稳定性分析

IO stability analysis of TS-PID fuzzy controller

推导出了单输入TS PID模糊控制器的插值解析表达式,为实际应用提供了一种快速精确的控制算法。该类模糊控制器的输入变量采用正规模糊集、三角形全交迭隶属度函数,规则后件采用PID表达式,其本质为一种非线性PID控制器。针对几种典型被控对象,应用钝性定理研究获得了TS PID模糊控制器闭环系统IO稳定的充分条件,为这类模糊控制器的系统化设计和稳定性分析提供了一种简便有效的新方法。

The interpolation model of a single input TS-PID fuzzy controller is proposed, which can be used to develop a fast and precise control algorithm in practical use. The full-overlapped triangular normal subordinate function has been adopted as the input variable in the type fuzzy controller and the PID expressions is selected in the rule consequences. The TS-PID fuzzy controller is investigated to be a class of nonlinear PID controllers in essence. Using the passivity theorem, the sufficient conditions of the IO stable closed-loop systems in which TS-PID fuzzy controllers applied to several typical control objects are obtained. These conditions provide a new simple approach for systematic design and stability analysis of TS-PID fuzzy controllers.