Abstract
This paper is concerned with the synchronization problem of two different switched chaotic systems, considering the general case that the master-slave switched chaotic systems have uncertainties. Two basic problems are considered: one is projective synchronization of switched chaotic systems under arbitrary switching; the other is projective synchronization of switched chaotic systems by design of switching when synchronization cannot achieved by using any subsystems alone. For the two problems, common Lyapunov function method and multiple Lyapunov function method are used respectively, an adaptive control scheme has been presented, some sufficient synchronization conditions are attainted, and the switching signal is designed. Finally, the numerical simulation is provide to show the effectiveness of our method.
Highlights
Chaos is very interesting nonlinear phenomenon and has been intensively studied in the last three decades [1,2,3]
Synchronization between two different switched chaotic systems are more interesting and worth researching. It can improves safety features of chaos synchronization secret communication while applying in secret communication because of the richness of selection in switched chaotic systems which achieves the variety of transmisson signal
This paper studies the projective synchronization problems between different switched chaotic systems with uncertainty
Summary
Chaos is very interesting nonlinear phenomenon and has been intensively studied in the last three decades [1,2,3]. For it’s potential applications in secure communication, chemical and biological systems, information science and many other fields, lots of researches on the synchronization of coupled chaotic dynamical systems have been done and many theoretical and experimental results have been obtained[5-19]. Such as feedback control methods[5,6,7], backstepping design technique[8], impulsive control method[9], fuzzy sliding mode control method [10], adaptive method[11,12] and other kind of synchronization[13-19]. By utilizing switching control theory and adaptive control technology, an adaptive control scheme has been presented, some sufficient synchronization conditions are attainted, and the switching signal is designed based on multiple Lyapunov function method
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