Abstract
模糊邏輯使用在控制界已經有超過20年的歷史了,成功的應用案例也時有所聞.一般而言,模糊控制優於古典控制之處,在於它能用在難以模式化的複雜系統.也正因為如此,模糊系統的分析便成為一個值得討論的題目.在本論文中,我們先將模糊邏輯以數學式表示出來,在將它當作控制器應用在控制系統之中;另一方面,我們用李阿普諾夫函數建立一個穩定性法則,然後用來檢驗模糊控制系統的穩定性及強韌性.我們也可以因此得到了設計穩定的模糊控制器的方法.Fuzzy logic is used on the field of control for over 20 years.Many successful applications have been reported. Generallyspeaking, it is superior to classical control methods when thecontrolled processes are hard to formulate in analytical form.Therefore, the analysis of the fuzzy control system is underdiscussions. In this thesis we propose a procedure toformulate the algorithm of fuzzy logic which is usedfrequently, and then take it as the controller in a feedbackcontrol system. After setting up a stability criterion by thedirect method of we check the stabilty and the robustness ofthe fuzzy control system. According to the stabilitycriterion, we may design a stable fuzzy control system aswell. We collect two examples to show the results of ourtheorem.