Finite-Time Synchronization for Uncertain Master-Slave Chaotic System via Adaptive Super Twisting Algorithm
Author(s) -
Pimchana Siricharuanun,
Chutiphon Pukdeboon
Publication year - 2016
Publication title -
journal of nonlinear dynamics
Language(s) - English
Resource type - Journals
eISSN - 2356-7503
pISSN - 2314-6893
DOI - 10.1155/2016/3512917
Subject(s) - control theory (sociology) , controller (irrigation) , synchronization (alternating current) , lyapunov stability , convergence (economics) , adaptive control , sliding mode control , bounded function , chaotic , computer science , synchronization of chaos , mode (computer interface) , mathematics , control (management) , nonlinear system , artificial intelligence , physics , computer network , mathematical analysis , channel (broadcasting) , agronomy , economics , biology , economic growth , operating system , quantum mechanics
A second-order sliding mode control for chaotic synchronization with bounded disturbance is studied. A robust finite-time controller is designed based on super twisting algorithm which is a popular second-order sliding mode control technique. The proposed controller is designed by combining an adaptive law with super twisting algorithm. New results based on adaptive super twisting control for the synchronization of identical Qi three-dimensional four-wing chaotic system are presented. The finite-time convergence of synchronization is ensured by using Lyapunov stability theory. The simulations results show the usefulness of the developed control method
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