Title :
On stability of fuzzy systems expressed by fuzzy rules with singleton consequents
Author_Institution :
Dept. of Comput. Intelligence & Syst. Sci., Tokyo Inst. of Technol., Japan
fDate :
4/1/1999 12:00:00 AM
Abstract :
Addresses the issue of stability of a fuzzy system described by fuzzy rules with singleton consequents. It first presents two canonical forms of a fuzzy system: a parametric expression and a state-space expression. A fuzzy system with singleton consequents is found to be a piecewise-polytopic-affine system. Then the paper gives stability theorems for a discrete-time system as well as for a continuous time system. It also gives a brief survey on the stability issues of fuzzy control systems
Keywords :
continuous time systems; discrete time systems; fuzzy control; fuzzy systems; stability; state-space methods; canonical forms; fuzzy rules; parametric expression; piecewise-polytopic-affine system; singleton consequents; state-space expression; Centralized control; Continuous time systems; Control systems; Fuzzy control; Fuzzy reasoning; Fuzzy sets; Fuzzy systems; Pi control; Proportional control; Stability analysis;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
