Accessibility and System Reduction of Nonlinear Time-Delay Control Systems

• 成果类型: Article
• 署名作者: Bartosiewicz, Zbigniew; Kaldmae, Arvo; Kawano, Yu; Kotta, Ulle; Pawluszewicz, Ewa; Simha, Ashutosh; Wyrwas, Malgorzata
• 署名单位: Bialystok University of Technology; Tallinn University of Technology; Hiroshima University; Bialystok University of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.3028566
• 发表日期: 2021
• 页码: 3781-3788
• 关键词: Accessibility; Algebraic; geometric methods; delay systems; Nonlinear systems

摘要

This article addresses the problem of checking the accessibility property for nonlinear single-input-single-output retarded time-delay systems with constant commensurable delays, described by higher order input-output functional differential equations. Necessary and sufficient conditions are found to check the accessibility property, and sufficient conditions are found to decompose the system equations into accessible and non-accessible subsystems. The conditions are presented in terms of autonomous elements, i.e., functions that cannot be influenced by system input. The results are generalizations from the delay-free case. However, the proofs do not transfer to the time-delay case easily, since algebraic structures with different properties are used here.