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On robust synchronization of nonlinear systems with application to grid integration of renewable energy sources

Hafiz Ahmed 1, * Rosane Ushirobira 2 Denis Efimov 2 
* Corresponding author
2 VALSE - Finite-time control and estimation for distributed systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : Many systems in the natural and physical world often work in unison with similar other systems. This process of simultaneous operation is known as synchronization. In the past few decades, owing to this phenomenon's importance, extensive research efforts have been made. However, many of the existing results consider the systems are identical and/or linear time-invariant, while practical systems are often nonlinear and nonidentical for various reasons. This observation motivated several recent studies on the synchronization of nonidentical (i.e., heterogeneous) nonlinear systems. This paper summarizes some recent results on the synchronization of heterogeneous nonlinear systems, as developed in the thesis [1]. First, the results on the synchronization of a particular class of robustly stable nonlinear systems are presented. Then, these results are applied to an example model known as Brockett oscillator. Finally, using the Brockett oscillator as a common dynamics, output oscillatory synchronization results are given for heterogeneous nonlinear systems of relative degree 2 or higher. An application example of Brockett oscillator for power-grid synchronization is also presented. Some outlooks are provided regarding future research directions.
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Submitted on : Wednesday, June 9, 2021 - 5:20:57 PM
Last modification on : Friday, April 1, 2022 - 3:49:16 AM
Long-term archiving on: : Friday, September 10, 2021 - 7:11:25 PM


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Hafiz Ahmed, Rosane Ushirobira, Denis Efimov. On robust synchronization of nonlinear systems with application to grid integration of renewable energy sources. Annual Reviews in Control, Elsevier, 2021, ⟨10.1016/j.arcontrol.2021.06.002⟩. ⟨hal-03255710⟩



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