LMI-Based Model Predictive Control for Linear Discrete-Time Periodic Systems

被引：0

作者：

Boehm, Christoph ^{[1
]}

Raff, Tobias ^{[1
]}

Reble, Marcus ^{[1
]}

Allgoewer, Frank ^{[1
]}

机构：

[1] Univ Stuttgart, Inst Syst Theory & Automat Control, D-7000 Stuttgart, Germany

来源：

NONLINEAR MODEL PREDICTIVE CONTROL: TOWARDS NEW CHALLENGING APPLICATIONS | 2009年 / 384卷

关键词：

Model predictive control; periodic system; linear matrix inequality; RECEDING HORIZON CONTROL; TRACKING CONTROL; STABILITY;

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：

This paper presents a new model predictive control (MPC) scheme for linear constrained discrete-time periodic systems. In each period of the system, a new periodic state feedback control law is computed via a convex optimization problem that minimizes an upper bound on an infinite horizon cost function subject to state and input constraints. The performance of the proposed model predictive controller, that stabilizes the discrete-time periodic system if it is initially feasible, is illustrated via an example.

引用

页码：99 / 108

页数：10

共 50 条

[1] On LMI-based sliding mode control for uncertain discrete-time systems
Argha, Ahmadreza
Li, Li
Su, Steven W.
Hung Nguyen
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (15): : 3857 - 3875
[2] LMI-based linear and-windup for discrete time linear control systems
Massimetti, Marco
Zaccarian, Luca
Hu, Tingshu
Teel, Andrew R.
PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 6173 - +
[3] Dissipativity Enforcement of Linear Discrete-time Systems via LMI-based Optimization
Du, Xin
Wang, Chao
Zhu, Xunlin
Peng, Yan
2013 25TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2013, : 3329 - 3334
[4] LMI-based robust control of uncertain discrete-time piecewise affine systems
Zhiyuan LIU 1
2.Department of Control Science and Engineering
Control Theory and Technology, 2010, 8 (04) : 496 - 502
[5] LMI-based H∞ Control Scheme for Discrete-time Piecewise Affine Systems
Gao, Yahui
Liu, Zhiyuan
2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23, 2008, : 3812 - 3816
[6] LMI-based control of discrete-time systems with actuator amplitude and rate nonlinearities
Pan, HZ
Kapila, V
PROCEEDINGS OF THE 2001 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2001, : 4140 - 4145
[7] LMI-based robust control of uncertain discrete-time piecewise affine systems
Liu Z.
Gao Y.
Chen H.
Journal of Control Theory and Applications, 2010, 8 (04): : 496 - 502
[8] Local stabilization of discrete-time linear systems with saturating controls: an LMI-based approach
da Silva, JM
Tarbouriech, S
PROCEEDINGS OF THE 1998 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1998, : 92 - 96
[9] Local stabilization of discrete-time linear systems with saturating controls: An LMI-based approach
da Silva, JMG
Tarbouriech, S
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (01) : 119 - 125
[10] An LMI approach to stabilization of linear discrete-time periodic systems
De Souza, CE
Trofino, A
INTERNATIONAL JOURNAL OF CONTROL, 2000, 73 (08) : 696 - 703

← 1 2 3 4 5 →