Synchronization of chaotic systems based on an interconnection and damping assignment-passivity-based control

Adirak Kanchanaharuthai; Pinit Ngamsom; Arsit Boonyaprapasorn

Authors

Adirak Kanchanaharuthai Department of Electrical Engineering, College of Engineering, Rangsit University, Patumthani 12000, Thailand
Pinit Ngamsom Department of Mechanical Engineering, College of Engineering, Rangsit University, Patumthani 12000, Thailand
Arsit Boonyaprapasorn Department of Mechanical Engineering, Chulchomklao Royal Military Academy, Nakhon-Nayok 26001, Thailand

Keywords:

chaotic synchronization, nonlinear control, interconnection and damping assignment passivity-based control, Genesio system, Chua’s circuit system

Abstract

This paper presents the synchronizations of chaotic nonlinear systems. With the help of a passivity-based control design [interconnection and damping assignment passivity-based control (IDA-PBC)] method, a nonlinear control strategy is proposed to achieve the chaotic synchronization. In particular, there are two chaotic systems of interest, Genesio system and Chua's circuit system, which are employed as two examples for illustration. The simulations indicate the effectiveness and feasibility of the proposed method to synchronize the chaotic systems of interest. In addition, the performances of the proposed control scheme are evaluated and compared with an existing nonlinear control, in particular, backstepping controller.

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