TY - JOUR
T1 - Fuzzy control of nonlinear continuous - time systems
AU - Cao, S. G.
AU - Rees, N. W.
AU - Feng, G.
PY - 1996
Y1 - 1996
N2 - 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.
AB - 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.
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M3 - RGC 62 - Review of books or of software (or similar publications/items)
VL - 1
JO - Proceedings of the IEEE Conference on Decision and Control
JF - Proceedings of the IEEE Conference on Decision and Control
SN - 0191-2216
T2 - Proceedings of the 1996 35th IEEE Conference on Decision and Control. Part 3 (of 4)
Y2 - 11 December 1996 through 13 December 1996
ER -