Cooperative Output Regulation for Continuous-Time Linear Periodic Systems

• 成果类型: Article
• 署名作者: Fu, Chengcheng; Zhang, Hao; Huang, Chao; Wang, Zhuping; Yan, Huaicheng
• 署名单位: Tongji University; Tongji University; East China University of Science & Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3405639
• 发表日期: 2024
• 页码: 7956-7963
• 关键词: mathematical models; regulation; Time-varying systems; Linear systems; Multi-agent systems; vectors; trajectory; Cooperative control; linear periodic systems (LPSs); multiagent systems; output regulation

摘要

This note investigates the cooperative output regulation problem for linear periodically time-varying systems. The problem is divided into two subproblems: solving periodic differential Sylvester equations (PDSEs) and designing a suitable time-varying distributed controller to stabilize an augmented multiagent system. First, the solvability of the PDSEs is discussed under an observability condition. Then, a dynamic output-feedback controller based on the internal model principle is proposed, which stabilizes the augmented system with local information used. This distributed controller ensures that the closed-loop system states converge to invariant manifolds where the corresponding error map is identically equal to zero. An application of the proposed control laws to linear periodic multipendulum systems demonstrates their effectiveness.