摘要：AbstractIn this paper, we tried to achieve synchronization between two chaotic systems of different order in master-slave configuration. We mainly focused on reduced order synchronization case. Achieving synchronization of two non-identical non-linear systems is often a very challenging problem. This paper proposes an adaptive law while utilizing to attain linear matrix inequality (LMI) framework so as to identify the conditions to attain synchronization goal. As all natural systems involve uncertainty and are exposed to external disturbances in real practice. Here a detailed analysis to tackle such dynamical systems which contain such effects, is performed. Using Lyapunov stability theory, the asymptotic convergent behavior of the error dynamics between master and slave systems of proposed class under the control effect is proved. The efficacy of the proposed control scheme is tested on different chaotic systems, provided as example. Finally, detailed simulation results are provided in the end of the article to illustrate the effectiveness of the proposed work.
关键词：KeywordsAdaptive ControlChaos SynchronizationLMILyapunov TheoryLipschitz FunctionRobust ControlReduced Order Synchronization
