Feedback and invariance under uncertainty via set-iterates

被引：74

作者：

Artstein, Zvi ^{[2
]}

Rakovic, Sasa V. ^{[1
]}

机构：

[1] ETH Zentrum, Swiss Fed Inst Technol, Automat Control Lab, ETLI 242, CH-8092 Zurich, Switzerland

[2] Weizmann Inst Sci, Dept Math, IL-76100 Rehovot, Israel

来源：

AUTOMATICA | 2008年 / 44卷 / 02期

关键词：

invariance; feedback control; set dynamics; minimal invariant sets; DYNAMIC-SYSTEMS; APPROXIMATIONS;

D O I：

10.1016/j.automatica.2007.06.013

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We examine discrete-time control systems under non-parametric disturbances. Sets which a given control feedback makes invariant under the disturbance are analyzed via lifting the feedback operation to the space of sets. Properties of being an attractor of the disturbed dynamics and being a minimal invariant set are derived from the corresponding notions of the set-dynamics, yielding, in turn, useful characterizations and error estimates for numerical algorithms which detect the minimal invariant sets. Concrete numerics for some examples of practical feedback rules are offered. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：520 / 525

页数：6

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