Title :
How stable is a fuzzy linear system?
Author :
Nguyen, Hung T. ; Kreinovich, Vladik
Author_Institution :
Dept. of Math. Sci., New Mexico State Univ., Las Cruces, NM, USA
Abstract :
One of the main problems to which control is applied is stabilizing a plant. In this case, it is sufficient to consider only small deviations from the ideal state. For small deviations, the dynamics of the plant can be described by linear differential equations. In many real-life cases, however, we do not know the exact values of the coefficients that describe the plant´s dynamics. In the present paper, we describe the relevant mathematical problem and the standard stability techniques of control theory, and present an algorithm that estimates the desired degree of belief. In other words, this algorithm describes how stable is a given fuzzy linear systems
Keywords :
dynamics; eigenvalues and eigenfunctions; fuzzy control; linear differential equations; linear systems; stability; stability criteria; degree of belief; eigenvalues; fuzzy control; fuzzy linear system; linear differential equations; plant´s dynamics; stability; Computer science; Control systems; Control theory; Differential equations; Fuzzy control; Fuzzy systems; Linear systems; Mathematics; Stability; Taylor series;
Conference_Titel :
Fuzzy Systems, 1994. IEEE World Congress on Computational Intelligence., Proceedings of the Third IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-1896-X
DOI :
10.1109/FUZZY.1994.343876
