Designing Distributed Impulsive Controller for Networked Singularly Perturbed Systems

• 成果类型: Article
• 署名作者: He, Wangli; Liang, Kun; Qian, Feng; Chen, Guanrong
• 署名单位: East China University of Science & Technology; City University of Hong Kong
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3195267
• 发表日期: 2023
• 页码: 3680-3686
• 关键词: Synchronization; Symmetric matrices; Stability criteria; Eigenvalues and eigenfunctions; Laplace equations; Couplings; Perturbation methods; directed network; distributed impulsive control; singularly perturbed system (SPS); singular perturbation parameter (SPP); Synchronization

摘要

This article develops a novel synthesis approach for the synchronization of a network of singularly perturbed systems (SPSs) with a small singular perturbation parameter e via distributed impulsive control. First, a decoupling method in the setting of directed networks is employed to decompose networked SPSs related to complex eigenvalues of the Laplacian matrix. Then, based on an improved piecewise continuous Lyapunov function, an e-dependent synchronization criterion is established. The relationship among the impulse interval, the impulse gain matrix, and e is revealed. By employing the newly obtained synchronization criterion, some sufficient conditions on the existence of an e-dependent impulse gain matrix are derived. Finally, an example is simulated to verify the effectiveness of the theoretical results.