Adaptive Controller Design for the Anti-Synchronization of Hyperchaotic Yang and Hyperchaotic Pang Systems

Vaidyanathan, Sundarapandian

doi:10.5121/ijics.2013.3201

Cited by 1 publication

(1 citation statement)

References 20 publications

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“…Since the pioneering work by Pecora and Carroll ([9], 1990), chaos synchronization problem has been studied extensively and intensively in the literature . In the last two decades, various schemes have been successfully applied for chaos synchronization such as PC method [9], OGY method [10], active control method [11][12][13][14][15][16][17][18], adaptive control method [19][20][21][22][23][24][25][26][27], time-delay feedback method [28][29], backstepping design method [30][31][32], sampled-data feedback method [33], etc.…”

Section: Introductionmentioning

confidence: 99%

Sliding Mode Controller Design for the Global Chaos Synchronization of Coullet Systems

Vaidyanathan

Sampath

2012

Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering

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This paper derives new results for the design of sliding mode controller for the global chaos synchronization of identical Coullet systems (1981). The synchronizer results derived in this paper for the complete chaos synchronization of identical hyperchaotic systems are established using sliding control theory and Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the sliding mode control method is very effective and convenient to achieve global chaos synchronization of the identical Coullet systems. Numerical simulations are shown to illustrate and validate the synchronization schemes derived in this paper for the identical Coullet systems.

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