Title :
LMI-based fuzzy control of uncertain nonlinear multi-time delays systems
Author :
Huang, Hai ; Wang, Shuqing
Author_Institution :
Nat. Key Lab. of Ind. Control Technol., Zhejiang Univ., Hangzhou, China
Abstract :
The stabilization problem and the design method of a parameterized controller for a class of uncertain nonlinear multi-time delays systems described in Takagi-Sugeno fuzzy models were concentrated on. The sufficient conditions for the existence of the stable fuzzy controller by state feedback were deduced in terms of Lyapunov stability theory. A convex optimization problem of multivariables was formulated by applying the LMI approach. The memoryless fuzzy controller was designed and the solving scheme for the parameters was also given. The results of numerical simulation show the effectiveness and applicability of the proposed method of the fuzzy controller.
Keywords :
Lyapunov methods; asymptotic stability; control system synthesis; convex programming; delay systems; fuzzy control; linear matrix inequalities; memoryless systems; multivariable control systems; nonlinear control systems; state feedback; uncertain systems; LMI based fuzzy control; Lyapunov stability theory; Takagi-Sugeno fuzzy models; convex optimization problem; memoryless fuzzy controller; multivariable control system; numerical simulation; parameterized controller design; stabilization; state feedback; sufficient conditions; uncertain nonlinear multitime delays systems; Delay systems; Design methodology; Fuzzy control; Fuzzy systems; Lyapunov method; Nonlinear control systems; Numerical simulation; State feedback; Sufficient conditions; Takagi-Sugeno model;
Conference_Titel :
Intelligent Control and Automation, 2004. WCICA 2004. Fifth World Congress on
Print_ISBN :
0-7803-8273-0
DOI :
10.1109/WCICA.2004.1342044
