Title :
Fuzzy control of nonlinear continuous-time systems
Author :
Cao, S.G. ; Rees, N.W. ; Feng, G.
Author_Institution :
Sch. of Electr. Eng., New South Wales Univ., Sydney, NSW, Australia
Abstract :
Fuzzy control has proved to be a successful control method for many kinds of nonlinear systems. However, the question, “for a given nonlinear system is it possible to design a fuzzy control system to stabilize this nonlinear system?”, has not been answered yet. In this paper we try to answer this question by proving some universal approximation theorem, stability theorem and universal fuzzy controller theorems for a class of nonlinear systems which can be represented by a set of linear systems on a set of local regions. Furthermore we propose a constructive procedure to obtain the fuzzy controllers for this class of nonlinear systems
Keywords :
approximation theory; control system synthesis; fuzzy control; nonlinear control systems; stability; linear system set; nonlinear continuous-time systems; stability theorem; universal approximation theorem; universal fuzzy controller theorem; Australia; Control systems; Design methodology; Fuzzy control; Fuzzy systems; Linear systems; Nonlinear control systems; Nonlinear systems; Robust stability; Stability analysis;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.574388
