Finite-Time Stabilization for Constrained Discrete-time Systems by Using Model Predictive Control

作     者：Bing Zhu Xiaozhuoer Yuan Li Dai Zhiwen Qiang Bing Zhu;Xiaozhuoer Yuan;Li Dai;Zhiwen Qiang

作者机构：IEEE the Seventh Research DivisionBeihang UniversityBeijing 100191China the School of AutomationBeijing Institute of TechnologyBeijing 100081China 

出 版 物：《IEEE/CAA Journal of Automatica Sinica》 (自动化学报（英文版）)

年 卷 期：2024年第11卷第7期

页      面：1656-1666页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

基　　金：supported by the National Natural Science Foundation of China (62073015 62173036 62122014) 

主　　题：Constraints deadbeat control finite-time stabilization model predictive control(MPC) 

摘      要：In this paper, a model predictive control(MPC)framework is proposed for finite-time stabilization of linear and nonlinear discrete-time systems subject to state and control constraints. The proposed MPC framework guarantees the finite-time convergence property by assigning the control horizon equal to the dimension of the overall system, and only penalizing the terminal cost in the optimization, where the stage costs are not penalized explicitly. A terminal inequality constraint is added to guarantee the feasibility and stability of the closed-loop *** feasibility can be improved via augmentation. The finite-time convergence of the proposed MPC is proved theoretically,and is supported by simulation examples.