On Necessary and Sufficient Conditions for Mode Observability of a Class of State Dependant Switched Systems

被引：1

作者：

Mera, Manuel ^{[1
,2
]}

Javier Bejarano, Francisco ^{[1
]}

机构：

[1] ESIME Inst Politecn Nacl, Av Ticoman 600, Mexico City 07340, DF, Mexico

[2] UPIBI Inst Politecn Nacl, Av Acueducto Guadalupe S-N, Mexico City 07340, DF, Mexico

来源：

IFAC PAPERSONLINE | 2017年 / 50卷 / 01期

关键词：

Observability; Switching Systems; Affine Spaces; Piecewise Linear Systems; LINEAR-SYSTEMS; OBSERVER; CONTROLLABILITY; STABILIZATION;

D O I：

10.1016/j.ifacol.2017.08.1583

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we give necessary and sufficient conditions for the mode observability of a class of switched systems, where the switching signal is state dependant. The switching conditions are given by an affine partition of the space re. This is a partition where the hyperplane not necessarily crosses through zero. The mode observability conditions are obtained as a result of an algebraic analysis of the so called joint observability matrix. A characterization of the sets where these conditions are fulfilled is also obtained. This characterization is given by translations of the hyperplane generating the partition. The results are illustrated by some examples for specific cases including a mechanical switched system. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：9485 / 9489

页数：5

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