Title :
Generalized H2 controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions
Author :
Feng, Gang ; Sun, Dong
Author_Institution :
Dept. of Manuf. Eng. & Eng. Manage., City Univ. of Hong Kong, China
fDate :
6/24/1905 12:00:00 AM
Abstract :
This paper presents a generalized H2 controller synthesis method for the Takagi-Sugeno fuzzy dynamic systems based on a piecewise smooth Lyapunov function. The basic idea of the proposed approach is to construct a controller for the fuzzy dynamic systems in such a way that a piecewise continuous Lyapunov function can be used to establish the global stability with generalized H2 performance of the resulting closed loop fuzzy control systems. It is shown that the control law can be obtained by solving a set of linear matrix inequalities. An example is given to illustrate the application of the proposed method
Keywords :
Lyapunov methods; closed loop systems; control system synthesis; fuzzy control; matrix algebra; optimal control; stability; H2 controller; Lyapunov function; Takagi-Sugeno models; closed loop systems; fuzzy control; fuzzy dynamic systems; global stability; linear matrix inequality; optimal control; Control system synthesis; Control systems; Equations; Fuzzy control; Fuzzy systems; Humans; Hydrogen; Linear matrix inequalities; Lyapunov method; Stability analysis;
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.2002.1004989
