Title :
Active controller design for the GPS of four-wing chaotic systems
Author :
Vaidyanathan, Subramanian ; Pakiriswamy, Sarasu
Author_Institution :
R&D Centre, Vel Tech Univ., Chennai, India
Abstract :
Generalized projective synchronization (GPS) of chaotic systems is a new type of synchronization, which is a general form of synchronization compared to other types of synchronization such as complete synchronization (CS), anti-synchronization (AS), hybrid synchronization (HS), projective synchronization (PS), etc. There are many types of techniques available for synchronizing chaotic systems such as delayed feedback control, sampled-data feedback control, sliding mode control, backstepping control, etc. In this paper, we have used active control method for GPS of four-wing chaotic systems, viz. Wang four-wing chaotic system (2009) and Liu four-wing chaotic system (2009). Explicitly, we derive active controllers for GPS of identical Wang four-wing chaotic systems, identical Liu four-wing chaotic systems and non-identical Wang and Liu four-wing chaotic systems. Main GPS results in this work have been proved with the help of Lyapunov stability theory. MATLAB plots are shown to demonstrate the GPS results for Wang and Liu four-wing chaotic systems.
Keywords :
Lyapunov methods; chaos; control system synthesis; nonlinear control systems; stability; synchronisation; AS; CS; GPS; HS; Lyapunov stability theory; Matlab plots; PS; active controller design; antisynchronization; backstepping control; complete synchronization; delayed feedback control; generalized projective synchronization; hybrid synchronization; identical Liu four-wing chaotic systems; identical Wang four-wing chaotic systems; nonidentical Liu four-wing chaotic systems; nonidentical Wang four-wing chaotic systems; projective synchronization; sampled-data feedback control; sliding mode control; Chaotic communication; Control systems; Educational institutions; Global Positioning System; Lyapunov methods; Synchronization; Chaos; GPS; active control; chaotic systems; four-wing systems; synchronization;
Conference_Titel :
Computing, Communications and Networking Technologies (ICCCNT),2013 Fourth International Conference on
Conference_Location :
Tiruchengode
Print_ISBN :
978-1-4799-3925-1
DOI :
10.1109/ICCCNT.2013.6726847