Abstract
This paper investigates the backstepping control design with novel
feedback input ap-proach for controlling chaotic systems to guarantee the
complete synchronization as well asthe anti-synchronization of chaotic
systems, viz. n–scroll Chua (K. Wallace et.al. 2001) andLur’e chaotic
systems. Our theorems on hybrid synchronization for n–scroll Chua and
Lur’e(J.Suyken et.al. 1997) chaotic systems is established using Lyapunov
stability theory. Based onthe Lyapunov function, the backstepping control
is determined to tune the controller gain basedon the precalculated
feedback control inputs. The backstepping scheme is recursive
procedurethat links the choice of a Lyapunov function with the design of a
controller and guaranteesglobal stability performance of strict-feedback
chaotic systems. Since the Lyapunov exponentsare not required for these
calculations, the backstepping control method is effective and conve-nient
to synchronize the chaotic systems. Mainly this technique gives the
flexibility to constructa control law. Numerical simulations are also
given to illustrate and validate the hybrid synchro-nization results
derived in this paper.
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Authors and Affiliations
Sundarapandian Vaidyanathan