Certainty Equivalence Control of Discrete-Time Multiagent Systems: A Framework for Uniform Global Exponential Stability

• 成果类型: Article
• 署名作者: Su, Youfeng; Lee, Ti-Chung; Cai, He; Chen, Xiaofeng
• 署名单位: Fuzhou University; National Sun Yat Sen University; South China University of Technology; Fuzhou University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3290776
• 发表日期: 2023
• 页码: 7660-7675
• 关键词: Certainty equivalence principle; Krasovskii-LaSalle theorem; multiagent systems; perturbed switched systems; weak zero-state detectability

摘要

The solvability of certainty equivalence control problems for discrete-time multiagent systems over uniformly jointly connected switching networks relies on the stability/attractivity analysis for a class of perturbed switched systems with respect to a set of switching signals. To tackle this issue, in this article, a novel systematic and unified framework is established consisting of three key stability/attractivity results. First, the uniform global exponential stability for two dual cases of the nominal dynamics is analyzed in a unified way by checking the weak zero-state detectability from the limiting systems. Second, the uniform global exponential attractivity of the perturbed switched systems accommodating both first-order and zero-order time-varying perturbations is studied without resorting to any Lyapunov function for the entire perturbed switched systems. Third, the uniform global kappa-exponential stability for a class of cascaded switched systems is investigated. These stability/attractivity results together lay the foundation to thoroughly solve two kinds of typical certainty equivalence control problems, and also improve two specific cooperative control designs. Moreover, a relaxed dwell-time condition is considered, which makes the obtained results tolerable in the extreme case of instantaneous link failure and restoration. Finally, the control performances are shown by numerical simulations.