Cost Evaluation of Approximate Controllability and Fault Recoverability for Switched Infinite-Dimensional Linear Systems

• 成果类型: Article
• 署名作者: Guan, Yacun; Yang, Hao; Jiang, Bin; Zhang, Youmin
• 署名单位: Nanjing University of Aeronautics & Astronautics; Concordia University - Canada
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3097546
• 发表日期: 2022
• 页码: 3553-3559
• 关键词: Switches; CONTROLLABILITY; Linear systems; control systems; Mathematical model; Hilbert space; Aerospace electronics; Approximate controllability; cost evaluation; fault recoverability (FR); switched infinite-dimensional linear systems (IDLS)

摘要

This article finds the minimum cost that is needed to achieve the approximate controllability of switched infinite-dimensional linear systems (IDLSs) by a newly defined Gramian operator. Such a new cost evaluation method helps to establish a fault recoverability condition, which reveals the ability of faulty switched IDLSs to maintain the approximate controllability under given energetic constraints. An example of the swarming system is taken to illustrate the theoretical results.