Time-varying affine feedback for reach control on simplices

被引：15

作者：

Ashford, Graeme ^{[1
]}

Broucke, Mireille E. ^{[1
]}

机构：

[1] Univ Toronto, Dept Elect & Comp Engn, Toronto, ON M5S 3G4, Canada

来源：

AUTOMATICA | 2013年 / 49卷 / 05期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Piecewise affine systems; Hybrid systems; Reach control problem; SYSTEMS; REACHABILITY;

D O I：

10.1016/j.automatica.2013.02.032

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 study the reach control problem for affine systems on simplices, and the focus is on cases when it is known that the problem is not solvable by continuous state feedback. In previous work we used the reach control indices to construct a (discontinuous) piecewise affine control that solves the problem. Here we investigate the extent to which time-varying feedbacks can be used. A simple time-varying affine feedback is proposed and shown to solve the problem. (c) 2013 Elsevier Ltd. All rights reserved.

引用

页码：1365 / 1369

页数：5