Title :
The effect of membership functions in fuzzy systems on the stability region
Author :
El-Arabawy, I.F. ; Rizk, M.R.M. ; Khaddam, H.S.
Author_Institution :
Dept. of Electr. Eng., Alexandria Univ., Egypt
Abstract :
The effect of the number of membership functions of the controller´s input variables on the stability boundary of a fuzzy control system is studied. A nonlinear SISO plant in controllable canonical form is considered. The simulation was carried out, first for two membership functions, with different simulation points. It was noticed that inside the indefinite stability region there are some stable states. This means that the estimated stability boundaries were not optimal. It is shown analytically that the number of membership functions has no effect on the stability boundary of the system while the Lyapunov matrix P has an effect. This was justified by the simulation results
Keywords :
Lyapunov methods; fuzzy control; nonlinear control systems; stability; Lyapunov matrix; controllable canonical form; fuzzy control system; membership functions; nonlinear SISO plant; simulation points; stability boundaries; stability boundary; stability region; Asymptotic stability; Control systems; Equations; Fuzzy control; Fuzzy sets; Fuzzy systems; Input variables; Nonlinear control systems; Stability analysis; Sufficient conditions;
Conference_Titel :
Electronics, Circuits and Systems, 2000. ICECS 2000. The 7th IEEE International Conference on
Conference_Location :
Jounieh
Print_ISBN :
0-7803-6542-9
DOI :
10.1109/ICECS.2000.911598
