Decentralized Data-Driven State Feedback Control for Graph-Based Interconnected Systems
Xiaojuan Xue, Qinyang Liu, Zhengtao Ding · 2025
This paper addressed decentralized data-driven control for a class of graph-based interconnected systems. Nowadays, lots of large scale systems always have the complex interconnection structure and the equipped data collector to help coordinate or regulate the signals of systems. In this paper, based on a class of mathematical models of graph-based discrete interconnected systems, we firstly introduce a data-based representation to consider the data-driven state feedback control problem for large scale systems. Secondly, based on the given data-based models, we defined the concepts of well-posedness, stability, and contractiveness performance to analyze the systems, and a sufficient condition is derived to guarantee that the plant is well-posed, stable and contractive. Thirdly, based on the collected data, we designed a decentralized state feedback controller to maintain the system a desirable performance we expect. Finally, the effectiveness of the method we propose above is verified by simulation experiments.