Trajectory Tracking for a Class of θ-Periodic Switched Systems

• 成果类型: Article
• 署名作者: Deaecto, Grace S.; Costanzo, Lucas C.; Egidio, Lucas N.
• 署名单位: Universidade Estadual de Campinas; Imperial College London; Universite Catholique Louvain
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3329852
• 发表日期: 2024
• 页码: 1874-1881
• 关键词: Switches; trajectory; Symmetric matrices; Switched systems; Linear matrix inequalities; control systems; Switching circuits; theta-periodic switched systems; asymptotic tracking; linear matrix inequalities (LMI)

摘要

This article deals with the trajectory tracking problem of a class of switched systems, whose dynamic matrixes are periodic with respect to a parameter theta that can be a time- or state-dependent function. The design conditions are expressed in terms of LMIs and ensure asymptotic tracking of a prespecified trajectory along with a guaranteed cost of performance. Two three-phase electrical systems are used for motivation and to validate the proposed theory: an ac-dc power converter and a permanent magnet synchronous machine (PMSM). An experimental arrangement has been elaborated to implement the switching strategy in the PMSM and to compare it with other results from literature.