Invariant approximations of the minimal robust. positively invariant set

被引：551

作者：

Rakovic, SV ^{[1
]}

Kerrigan, EC

Kouramas, KI

Mayne, DQ

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Dept Elect & Elect Engn, London SW7 2BT, England

[2] Univ Cambridge, Dept Engn, Cambridge CB2 1PZ, England

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2005年 / 50卷 / 03期

关键词：

invariant approximations; linear systems; robust control; set invariance;

D O I：

10.1109/TAC.2005.843854

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 note provides results on approximating the minimal robust positively invariant (mRPI) set (also known as the 0-reachable set) of an asymptotically stable discrete-time linear time-invariant system. It is assumed that the disturbance is bounded, persistent and acts additively on the state and that the constraints on the disturbance are polyhedral. Results are given that allow for the computation of a robust positively invariant, outer approximation of the mRPI set. Conditions are also given that allow one to a priori specify the accuracy of this approximation.

引用

页码：406 / 410

页数：5

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