Synchronization of Multi-Agent Non-identical Chaotic Systems through Model Matching Control using Feedback Linearization

Mohammad Mustkeem, Bharat Bhushan Sharma · 2022 2nd International Conference on Emerging Frontiers in Electrical and Electronic Technologies (ICEFEET) · 2022

In this paper, a nonlinear Model Matching control problem is presented based on feedback linearization technique. For the analysis purpose, the output synchronization case is considered. The proposed synchronization methodology utilizes a control law acquired from graph theory and takes care of the model-matching control for multi-agent systems. Especially, set of non-identical chaotic systems are considered as Plant and Model, combination where the relative degree of the systems is less than the order of the system. The asymptotic convergence error dynamics is proved using the Routh-Hurwitz method. The effectiveness of the proposed procedure is verified using MATLAB simulations. For example, the 3D Lorenz chaotic system and 4D Lüchaotic system are considered to achieve synchronization in multi-agent systems configuration.

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