CONSTRAINED MULTI VARIABLE STABLE PREDICTIVE CONTROL BASED ON TOEPLITZ EQUATION

被引：62

作者：

Liu, Bin ^{[1
]}

Su, Hongye ^{[2
]}

Jiang, Zheng ^{[1
]}

Fang, Kangling ^{[1
]}

机构：

[1] Wuhan Univ Sci & Technol, Coll Informat Sci & Engn, Minist Educ, Engn Res Ctr Met Automat & Detecting Technol, Wuhan 430081, Peoples R China

[2] Zhejiang Univ, Natl Key Lab Ind Control Technol, Inst Cyber Syst & Control, Hangzhou 310027, Peoples R China

来源：

ASIAN JOURNAL OF CONTROL | 2010年 / 12卷 / 06期

基金：

国家高技术研究发展计划(863计划);

关键词：

Constrained multivariable stable predictive control; Toeplitz predictive equation left/right coprime factorization; LMI; STABILITY;

D O I：

10.1002/asjc.245

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A stable constrained multivariable predictive control algorithm based on the Toeplitz predictive equation is presented An analytical method for transformation between left and right coprime factorization of multivariable system is put forward, and then an unconstrained control law and its stable condition are given Furthermore, for the constrained multivariable controlled system, a predictive controller and its asymptotically stable condition are presented and proved Finally, the constrained receding horizon optimization is transformed into a typical linear matrix inequality (LMI) problem and solved The detailed control algorithm is depicted in a numerical example and the simulation results reveal the effectiveness and practicability of the presented algorithm

引用

页码：692 / 703

页数：12

共 11 条

[1]

Cannon M, 2003, AUTOMATICA, V39, P1487, DOI [10.1016/S0005-1098(03)00128-6, 10.1016/S005-1098(03)00128-6]

[2] Robustly asymptotically stable finite-horizon MPC [J].