Title :
Synchronization design of complex coupled systems using fuzzy approach
Author :
Huang, Kuo-En ; Lian, Kuang-Yow
Author_Institution :
Dept. of Electr. Eng., Chung-Yuan Christian Univ., Chungli, Taiwan
Abstract :
This paper proposes a brand new T-S fuzzy model-based approach to achieve synchronization and desynchronization of coupled dynamical systems. The T-S fuzzy models are given to exactly represent the coupled dynamical systems. We analyze the overall fuzzy synchronization and desynchronization system by applying Lyapunov theory and derive stability conditions by solving linear matrix inequalities (LMI) problem. The methodology has been applied to both continuous-time and discrete-time chaotic systems. Two well known examples, the Chua´s circuit for continuous-time and Heacutenon map for discrete-time, are used for the demonstration. Several numerical simulations for the synchronization and desynchronization of coupled dynamical system illustrate the effectiveness of the proposed scheme.
Keywords :
Lyapunov methods; continuous time systems; control system synthesis; discrete time systems; dynamics; fuzzy set theory; fuzzy systems; large-scale systems; linear matrix inequalities; stability; synchronisation; Lyapunov theory; T-S fuzzy model; complex coupled system; continuous time system; coupled dynamical system; desynchronization system; discrete time chaotic system; fuzzy synchronization design; linear matrix inequalities; numerical simulation; stability condition; Cells (biology); Circuit stability; Control system synthesis; Coupling circuits; Fuzzy control; Fuzzy systems; Intelligent control; Linear matrix inequalities; Nonlinear systems; Stability analysis; Coupled dynamical systems; Desynchronization; Linear matrix inequalities; Synchronization; T-S Fuzzy Model;
Conference_Titel :
Control Applications, (CCA) & Intelligent Control, (ISIC), 2009 IEEE
Conference_Location :
Saint Petersburg
Print_ISBN :
978-1-4244-4601-8
Electronic_ISBN :
978-1-4244-4602-5
DOI :
10.1109/CCA.2009.5281008
