Title :
Optimization of fuzzy feedback control in L∞ space
Author :
Mitsuishi, Takashi
Author_Institution :
Dept. of Inf. Eng., Shinshu Univ., Nagano, Japan
Abstract :
Describes the optimization of fuzzy control, which is determined by if-then type fuzzy rules through the min-sum-gravity method. To prove existence of optimal control, we applied the compactness of a set of membership functions in L∞ space and the continuity of the min-sum-gravity method we considered before, and show the existence of a pair of membership functions (fuzzy controller) which minimize (maximize) the integral cost (benefit) function.
Keywords :
fuzzy control; fuzzy set theory; nonlinear control systems; optimal control; state feedback; L∞ space; continuity; fuzzy feedback control; if-then type fuzzy rules; integral benefit function; integral cost function; membership functions; min-sum-gravity method; optimal control; Control systems; Cost function; Feedback control; Fuzzy control; Fuzzy sets; Fuzzy systems; Optimal control; Optimization methods; State feedback; Topology;
Conference_Titel :
Fuzzy Systems, 2001. The 10th IEEE International Conference on
Print_ISBN :
0-7803-7293-X
DOI :
10.1109/FUZZ.2001.1009100
