模糊控制器的线性与非线性结构分析

LINEAR AND NONLINEAR STRUCTURE ANALYSIS OF A CLASS OF FUZZY CONTROLLERS

从解析的角度分析了采用三角形隶属函数、线性控制规则,Probabilistic AND和Lukasiewicz OR模糊逻辑时模糊控制器的结构。证明了在用某些推理和决策方法时,模糊控制器等于线性的PI(PID)控制器,而在其它情况下为非线性的PI控制器。

This paper analytically investigates the structures of fuzzy controllers with triangular-shaped input fuzzy sets, linear control rules, probabilistic AND and Lukasiewiez OR fuzzy logic. We prove that fuzzy controllers with some inference and defuzzification methods are linear PID(PI) controllers and with other inference and defuzzification methods are nonlinear controllers. The analytical structures can serve as a platform on which many analysis and synthesis methods can be analytically developed by utilizing powerful conventional control theory