Radius Analysis-Based Control for Switched Positive Systems

• 成果类型: Article
• 署名作者: Fei, Zhongyang; Chen, Weizhong; Yang, Hao; Sun, Xi-Ming
• 署名单位: Dalian University of Technology; Dalian University of Technology; Xi'an Polytechnic University; Harbin Institute of Technology; Nanjing University of Aeronautics & Astronautics
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3440345
• 发表日期: 2025
• 页码: 649-656
• 关键词: Switches; control systems; Output feedback; CONVERGENCE; vectors; Switched systems; sun; Dynamic output feedback control; mode-dependent persistent dwell time (MPDT); radius-based control; switched positive systems; zonotopes

摘要

This article investigates the dynamic output feedback control for switched positive systems with mode-dependent persistent dwell time (MPDT) switching and unmeasurable disturbances. Unlike the previous results, in this article, we propose a radius analysis-based control method. By constructing the time-varying state zonotope and guaranteeing its dual convergence, dynamic output feedback controllers are designed, and then the stability of the closed-loop system and convergent state boundaries are both realized. First, the dual convergence and $\mathcal {L}_{\infty }$ performance are addressed for the positive zonotope by constructing proper mode-dependent radius and center functions. Then, employing the radius analysis-based control method, allowable MPDT signals and a series of controllers are codesigned to ensure the stability of the underlying system. Furthermore, a relaxed method is given to further improve conservatism of the radius analysis based control approach. Finally, an example is taken to certify the effectiveness and merits of our proposed methods.