Robust MPC for the constrained system with polytopic uncertainty

被引：18

作者：

Liu, Xiangjie ^{[1
]}

Feng, Sumei ^{[1
]}

Ma, Miaomiao ^{[1
]}

机构：

[1] N China Elect Power Univ, Dept Automat, Beijing 102206, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2012年 / 43卷 / 02期

基金：

中国国家自然科学基金;

关键词：

robust model predictive control; linear matrix inequality; terminal constraint sets; polytopic uncertain systems; MODEL-PREDICTIVE CONTROL; LINEAR MATRIX INEQUALITIES; SET; FORMULATION;

D O I：

10.1080/00207721.2010.488760

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

An improved method for synthesising the constrained robust model predictive controller is proposed in this study. It constructs a continuum of terminal constraint sets off-line, and achieves robust stability with a variable control horizon on-line from the very beginning and a time-varying terminal constraint set, by solving the min-max optimisation problem, which can be formulated as a linear matrix inequality problem. This algorithm not only dramatically reduces the on-line computation burden, but also guarantees the control performance by reserving at least one free control move in the whole process. Simulation results for the three-tank system with uncertain dynamic behaviour on flux coefficients are given.

引用

页码：248 / 258

页数：11

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