Title :
Stability analysis of TSK fuzzy systems
Author :
Kang, Geuntaek ; Lee, Wonchang ; Sugeno, Michio
Author_Institution :
Pukyong Nat. Univ., Pusan, South Korea
Abstract :
This paper suggests a method verifying the stability of a Takagi-Sugeno-Kang (TSK) fuzzy state space model consisting of TSK fuzzy rules of which consequents have a constant term. Such a TSK fuzzy model may have many equilibrium points and each equilibrium point may have different nature of stability. The stability of an equilibrium point is determined by eigenvalues of the Jacobian matrix obtained by linearizing the system around the equilibrium point. This paper deals with both continuous systems and discrete systems
Keywords :
Jacobian matrices; eigenvalues and eigenfunctions; fuzzy systems; linearisation techniques; stability; Jacobian matrix; TSK fuzzy state space model; TSK fuzzy systems; Takagi-Sugeno-Kang fuzzy state space model; eigenvalues; equilibrium points; stability analysis; stability verification; system linearization; Continuous time systems; Eigenvalues and eigenfunctions; Equations; Fuzzy sets; Fuzzy systems; Jacobian matrices; Space technology; Stability analysis; State-space methods; Vectors;
Conference_Titel :
Fuzzy Systems Proceedings, 1998. IEEE World Congress on Computational Intelligence., The 1998 IEEE International Conference on
Conference_Location :
Anchorage, AK
Print_ISBN :
0-7803-4863-X
DOI :
10.1109/FUZZY.1998.687546
