A predictive control scheme for systems with variable time-delay

被引：24

作者：

Lombardi, Warody ^{[1
,2
]}

Olaru, Sorin ^{[1
]}

Niculescu, Silviu-Iulian ^{[2
]}

Hetel, Laurentiu ^{[3
]}

机构：

[1] SUPELEC, Dept Automat Control, Gif Sur Yvette, France

[2] CNRS SUPELEC, Lab Signals & Syst, Gif Sur Yvette, France

[3] EC Lille, LAGIS, UMR 8219, Lille, France

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2012年 / 85卷 / 07期

关键词：

variable delay; polytopic embedding; invariant sets; predictive control; LINEAR-SYSTEMS; STABILIZATION; STABILITY; CONSTRAINTS;

D O I：

10.1080/00207179.2012.669847

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 article deals with the robust control design problem for linear time invariant systems affected by variable feedback delay. Constraints on the system state are considered in the system description. The starting point is the construction of a predictive control law which guarantees the existence of a nonempty robust positive invariant (RPI) set with respect to the closed-loop dynamics. Subsequently, an iterative algorithm is proposed in order to obtain an approximation of the maximal RPI set. The problem can be treated in the framework of piecewise affine systems due to the explicit formulations of the control law obtained via multiparametric programming.

引用

页码：915 / 932

页数：18

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