A Continuous Multivariable Finite-Time Control Scheme for Double Integrator Systems With Bounded Control Input

• 成果类型: Article
• 署名作者: Tian, Bailing; Li, Zhiyu; Zong, Qun
• 署名单位: Tianjin University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3126778
• 发表日期: 2022
• 页码: 6068-6073
• 关键词: Numerical stability; Stability criteria; actuators; switches; Heuristic algorithms; Closed loop systems; Upper bound; Bounded control input; double integrator systems; finite-time stability

摘要

A multivariable finite-time control algorithm is proposed for double integrator systems with matched disturbances. The remarkable feature of the developed method is to ensure the finite-time stability of the closed-loop system with uniformly bounded control signal with respect to arbitrary initial conditions. The convergence criteria are derived by using the Lyapunov-based techniques, and the upper bound of the control signal can be calculated based on the obtained criteria. Finally, the effectiveness of the proposed algorithm is confirmed by some numerical simulations.