Design of Distributed Controller for Discrete-Time Systems Via the Integration of Extended LMI and Clique-Wise Decomposition

2024/09/11 by Sotaro Fushimi, Yuto Watanabe, Fushimi, Sotaro +3
Computer Science · Engineering · Physics and Astronomy · #Control Systems and Identification #FOS: Electrical engineering #Model Reduction and Neural Networks #Neural Networks and Applications #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2409.07666

openalex publication_date 2024/09/11 · openalex created_date 2024/10/23 · openalex updated_date 2026/07/28

Abstract

This study addresses the centralized synthesis of distributed controllers using linear matrix inequalities (LMIs). Sparsity constraints on control gains of distributed controllers result in conservatism via the convexification of the existing methods such as the extended LMI method. In order to mitigate the conservatism, we introduce a novel LMI formulation for this problem, utilizing the clique-wise decomposition method from our previous work on continuous-time systems. By reformulating the sparsity constraint on the gain matrix within cliques, this method achieves a broader solution set. Also, the analytical superiority of our method is confirmed through numerical examples.

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