Title :
Generalized projective synchronization of chaotic systems based on Takagi-Sugeno fuzzy model
Author :
Nian, Yibei ; Zheng, Yongai
Author_Institution :
Sch. of Energy & Power Eng., Yangzhou Univ., Yangzhou, China
Abstract :
In this paper, a new fuzzy control scheme for generalized projective synchronization of chaotic systems has been presented based on Takagi-Sugeno (T-S) fuzzy model and parallel distributed compensation (PDC). This method allows us to arbitrarily direct the scaling factor onto a desired value. Some simple but efficient criteria are derived for generalized projective synchronization of chaotic systems from Lyapunov stability theory. The technique has been successfully applied to the Rossler system and hyperchaotic Lu system. Numerical simulations verify the effectiveness and feasibility of the proposed method.
Keywords :
Lyapunov methods; compensation; distributed control; fuzzy control; fuzzy set theory; fuzzy systems; nonlinear control systems; synchronisation; Lyapunov stability theory; Rossler system; Takagi-Sugeno fuzzy model; chaotic system; fuzzy control; generalized projective synchronization; hyperchaotic Lu system; parallel distributed compensation; Adaptation model; Chaotic communication; Fuzzy systems; Solitons; Symmetric matrices; Synchronization; Generalized projective synchronization; Lyapunov method; T-S fuzzy model; chaotic systems;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2010 Seventh International Conference on
Conference_Location :
Yantai, Shandong
Print_ISBN :
978-1-4244-5931-5
DOI :
10.1109/FSKD.2010.5569112