Title :
Application of functional intervals to the stability analysis of fuzzy linear systems
Author :
Bondia, J. ; Pico, J.
Author_Institution :
Dept. of Syst. Eng. & Control, Valencia Tech. Univ.
Abstract :
A coefficient-wise stability margin for fuzzy linear systems is derived. It is based on the functional interval representation of fuzzy numbers and the well-known Argoun stability test for interval systems (M.B. Argoun, 1987). Consideration of independent confidence levels for every coefficient allows a clear understanding of how each coefficient affects the stability, and thus an analysis can be carried out of how precise one needs to be on some coefficients in order to allow more uncertainty on others
Keywords :
fuzzy systems; linear systems; number theory; stability; Argoun stability test; coefficient precision; coefficient uncertainty; coefficient-wise stability margin; functional intervals; fuzzy linear systems; fuzzy numbers; independent confidence levels; interval systems; stability analysis; Control systems; Fuzzy control; Fuzzy systems; Linear systems; Polynomials; Robust control; Stability analysis; Transfer functions; Uncertainty; Vectors;
Conference_Titel :
IFSA World Congress and 20th NAFIPS International Conference, 2001. Joint 9th
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-7078-3
DOI :
10.1109/NAFIPS.2001.943742
