Model Predictive Control for Discrete-time Linear Systems with Finite-time Convergence

被引：0

作者：

Zhu, Bing ^{[1
,2
]}

Zuo, Zongyu ^{[1
,2
]}

Ding, Zhengtao ^{[3
]}

机构：

[1] Beihang Univ, Seventh Res Div, Beijing 100191, Peoples R China

[2] Beihang Univ, Sch Automat Sci & Elect Engn, Beijing 100191, Peoples R China

[3] Univ Manchester, Dept Elect & Elect Engn, Sackville St Bldg, Manchester M13 9PL, Lancs, England

来源：

2020 59TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC) | 2020年

基金：

中国国家自然科学基金;

关键词：

Model predictive control; finite-time convergence; linear systems; discrete-time systems; OUTPUT DEADBEAT CONTROL; STABILIZATION; STABILITY; TRACKING;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, a model predictive control (MPC) approach with finite-time convergence is proposed for constrained discrete-time linear systems. The proposed MPC is constructed based on a criterion of finite-time convergence for discrete-time linear systems, where its Lyapunov function decreases with a rate greater than that of exponential convergence. In the finite-time MPC, the cost function is designed particularly by using the proposed finite-time criterion. Recursive feasibility of optimization and stability of the closed-loop system can be proved within the classical MPC framework.

引用

页码：3531 / 3536

页数：6

共 28 条

[1] On the discrete-time integral sliding-mode control [J].

Abidi, Khalid ;

Xu, Jian-Xin ;

Yu Xinghuo .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (04) :709-715

[2] MINIMUM TIME CONTROLLERS OF LINEAR DISCRETE-TIME-SYSTEMS [J].

AKASHI, H ;

IMAI, H ;

ADACHI, M .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1981, 26 (02) :528-530

[3] Finite-time control of discrete-time linear systems [J].

Amato, F ;

Ariola, M .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (05) :724-729

[4] Finite-time control of discrete-time linear systems: Analysis and design conditions [J].

Amato, Francesco ;

Ariola, Marco ;

Cosentino, Carlo .

AUTOMATICA, 2010, 46 (05) :919-924

[5] Finite- and fixed-time convergent algorithms: Design and convergence time estimation [J].

Basin, Michael .

ANNUAL REVIEWS IN CONTROL, 2019, 48 :209-221

[6] Continuous Finite-Time Higher Order Output Regulators for Systems With Unmatched Unbounded Disturbances [J].

Basin, Michael V. ;

Panathula, Chandrasekhara Bharath ;

Shtessel, Yuri B. ;

Rodriguez Ramirez, Pablo Cesar .

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2016, 63 (08) :5036-5043

[7] Output deadbeat control of nonlinear discrete-time systems with one-dimensional zero dynamics: Global stability conditions [J].

Bastin, G ;

Jarachi, F ;

Mareels, IMY .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (06) :1262-1266

[8] Finite-time stability of continuous autonomous systems [J].

Bhat, SP ;

Bernstein, DS .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 38 (03) :751-766

[9] Geometric homogeneity with applications to finite-time stability [J].

Bhat, SP ;

Bernstein, DS .

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2005, 17 (02) :101-127

[10] Chattering-free discrete-time sliding mode control [J].

Du, Haibo ;

Yu, Xinghuo ;

Chen, Michael Z. Q. ;

Li, Shihua .

AUTOMATICA, 2016, 68 :87-91

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