Title :
A construction method of switching Lyapunov function for nonlinear systems
Author :
Ohtake, Hiroshi ; Tanaka, Kazuo ; Wang, Hua O.
Author_Institution :
Dept. of Mech. Eng. & Intelligent Syst., Univ. of Electro-Commun., Chofu, Japan
fDate :
6/24/1905 12:00:00 AM
Abstract :
This paper presents a new stability condition based on a switching Lyapunov function for a class of nonlinear systems. In our previous paper (2001), we propose a switching fuzzy model based on the sector nonlinearity concept. The switching fuzzy model can exactly represent a class of nonlinear systems globally or semi-globally. This paper describes a construction method of a switching Lyapunov function for the switching fuzzy model. The switching Lyapunov function is constructed by mirroring structure of the switching fuzzy model. An example illustrates the utility of this approach
Keywords :
Lyapunov methods; control nonlinearities; control system synthesis; fuzzy control; nonlinear systems; stability; nonlinear systems; open-loop systems; sector nonlinearity; stability; switching Lyapunov function; switching fuzzy model; Fires; Fuzzy control; Fuzzy systems; Intelligent systems; Linear systems; Lyapunov method; Mechanical engineering; Nonlinear systems; Stability; Switches;
Conference_Titel :
Fuzzy Systems, 2002. FUZZ-IEEE'02. Proceedings of the 2002 IEEE International Conference on
Conference_Location :
Honolulu, HI
Print_ISBN :
0-7803-7280-8
DOI :
10.1109/FUZZ.2002.1004990
