Approximate Synchronization of Complex Network Consisting of Nodes With Minimum-Phase Zero Dynamics and Uncertainties

0556492 - ÚTIA 2023 RIV US eng J - Článek v odborném periodiku
Rehák, Branislav - Lynnyk, Volodymyr
Approximate Synchronization of Complex Network Consisting of Nodes With Minimum-Phase Zero Dynamics and Uncertainties.
IEEE Access. Roč. 10, č. 1 (2022), s. 35352-35362. ISSN 2169-3536. E-ISSN 2169-3536
Grant CEP: GA ČR(CZ) GA19-05872S
Institucionální podpora: RVO:67985556
Klíčová slova: Complex networks * Nonlinear systems * Linear matrix inequalities * Robust control
Obor OECD: Automation and control systems
Impakt faktor: 3.9, rok: 2022
Způsob publikování: Open access
http://library.utia.cas.cz/separaty/2022/TR/rehak-0556492.pdf https://ieeexplore.ieee.org/document/9745155

A synchronization algorithm of nonlinear complex networks composed of nonlinear nodes is designed. The main idea is to apply the exact feedback linearization of every node first, then applying methods for synchronization of linear complex networks. The nodes need not admit full exact feedback linearization, however, they are supposed to be minimum-phase systems. To achieve the synchronization of the observable parts of the nodes, an algorithm based on the convex optimization (to be specific, on linear matrix inequalities) is proposed. Then, it is demonstrated that, using the minimum-phase assumption, the non-observable part of the nodes is synchronized as well. The algorithm for synchronization of the observable parts of the nodes can be used to design a control law that is capable of maintaining stability in presence of certain variations of the control gain. Uncertainties in the parameters are also taken into account. Two examples illustrate the control design.
Trvalý link: http://hdl.handle.net/11104/0330834