期刊
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS
卷 2, 期 2, 页码 131-141出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCNS.2014.2378872
关键词
Adaptive control; distributed algorithms/control; networked control systems; nonlinear systems
资金
- Directorate For Engineering [1101876] Funding Source: National Science Foundation
- Div Of Electrical, Commun & Cyber Sys [1101876] Funding Source: National Science Foundation
We present an adaptive algorithm that guarantees synchronization in diffusively coupled systems. We first consider compartmental systems of ODEs where variables in each compartment are interconnected through diffusion terms with like variables in other compartments. Each set of variables may have its own weighted undirected graph describing the topology of the interconnection between compartments. The link weights are updated adaptively according to the magnitude of the difference between neighboring agents connected by each link. We show that an incremental passivity property is fundamental in guaranteeing output synchronization. We next consider reaction-diffusion PDEs with Neumann boundary conditions and derive an analogous algorithm guaranteeing spatial homogenization of the solutions. We provide several numerical examples demonstrating the results.
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