Stability of Asynchronous Networked Linear Control Systems With Direct-Feedthrough Terms and Scheduling Protocols

• 成果类型: Article
• 署名作者: Guo, Ziyi; Yu, Hao; Chen, Tongwen
• 署名单位: University of Alberta; Beijing Institute of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3389730
• 发表日期: 2024
• 页码: 6980-6987
• 关键词: Protocols; Numerical stability; Stability criteria; Data communication; Job shop scheduling; dynamic scheduling; vectors; Asynchronous transmission; direct-feedthrough; hybrid systems; networked control systems (NCSs); scheduling protocols

摘要

In this article, we analyze the stability of a linear control system where the plant and controller, both containing direct-feedthrough terms, communicate asynchronously over a network using scheduling protocols. The overall system is modeled as a hybrid dynamical system and sufficient conditions for its closed-loop stability are derived using a new Lyapunov function. Additionally, we define a stability property that is associated with the feedthrough terms and the adopted scheduling protocols and, subsequently, derive verifiable conditions that evaluate the aforementioned stability property. The effectiveness of the results is demonstrated through numerical simulations on a benchmark model, and the effects of user-specified parameters are examined.