Analysis of linear programming in model predictive control

被引：14

作者：

Saffer, DR

Doyle, FJ ^{[1
]}

机构：

[1] Univ Delaware, Dept Chem Engn, Newark, DE 19716 USA

[2] Univ Calif Santa Barbara, Dept Chem Engn, Santa Barbara, CA 93106 USA

来源：

COMPUTERS & CHEMICAL ENGINEERING | 2004年 / 28卷 / 12期

关键词：

linear programming; model predictive control; analysis;

D O I：

10.1016/j.compchemeng.2004.08.007

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The linear programming formulations of model predictive control are known to exhibit degenerate solution behavior. In this work, a multi-parametric linear programming technique is utilized to analyze the control laws that are generated from various linear programming based MPC routines. These various routines explore a number of factors, including objective function selection and constraint handling on the control laws generated from LP based MPC. A single input single output system is used to demonstrate that the use of input velocity penalties, input blocking, and infinity-norm objective functions can limit or eliminate this undesirable behavior. Finally a paper machine cross directional control problem is used to demonstrate the control laws generated from LP based MPC for a multivariable example. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：2749 / 2763

页数：15

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