Energetically Optimal Finite-Time Stabilization of Generalized Homogeneous Linear Systems

• 成果类型: Article
• 署名作者: Polyakov, Andrey; Efimov, Denis; Ping, Xubin
• 署名单位: Xidian University; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Information Sciences & Technologies (INS2I); Universite de Lille; Centrale Lille; Inria
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3246773
• 发表日期: 2023
• 页码: 7811-7817
• 关键词: Nonlinear control; optimal control; stability of nonlinear systems

摘要

The problem of finite-time stabilization of a linear plant with an optimization of both a settling time and an averaged/weighted control energy is studied using the concept of generalized homogeneity. It is shown that the optimal finite-time stabilizing control in this case can be designed by means of solving a simple linear algebraic equation. Robustness of the obtained control law is studied.