Sampled-data nonlinear observer design for chaos synchronization: A Lyapunov-based approach

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• 作者：Mohammadreza Faieghi ; Seyed Kamal-e-ddin Mousavi Mashhadi ; Dumitru Baleanu
• 关键词：State estimation ; Nonlinear observer ; Chaos synchronization ; Linear matrix inequality (LMI)
• 刊名：Communications in Nonlinear Science and Numerical Simulation
• 出版年：July, 2014
• 年：2014
• 卷：19
• 期：7
• 页码：2444-2453
• 全文大小：982 K

文摘

This paper considers sampled-data based chaos synchronization using observers in the presence of measurement noise for a large class of chaotic systems. We study discretized model of chaotic systems which are perturbed by white noise and employ Lyapunov-like theorems to come up with a simple yet effective observer design. For the choice of observer gain, a suboptimal criterion is obtained in terms of LMI. We present semiglobal as well as global results. The proposed scheme can also be extended for discrete-time chaotic systems. Numerical simulations have been carried out to verify the effectiveness of theoretical results.