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

Manuel Mera; Francisco Javier Bejarano

doi:10.1016/j.ifacol.2017.08.1583

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

Manuel Mera, Francisco Javier Bejarano

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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 Rⁿ. 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.

Original language	English
Pages (from-to)	9485-9489
Number of pages	5
Journal	IFAC-PapersOnLine
Volume	50
Issue number	1
DOIs	https://doi.org/10.1016/j.ifacol.2017.08.1583
State	Published - Jul 2017

Keywords

Affine Spaces
Observability
Piecewise Linear Systems
Switching Systems

Access to Document

10.1016/j.ifacol.2017.08.1583

Cite this

@article{06f45b72c06c4368b76e5bda3c5b2d8a,

title = "On Necessary and Sufficient Conditions for Mode Observability of a Class of State Dependant Switched Systems",

abstract = "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 Rn. 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.",

keywords = "Affine Spaces, Observability, Piecewise Linear Systems, Switching Systems",

author = "Manuel Mera and {Javier Bejarano}, Francisco",

note = "Publisher Copyright: {\textcopyright} 2017",

year = "2017",

month = jul,

doi = "10.1016/j.ifacol.2017.08.1583",

language = "Ingl{\'e}s",

volume = "50",

pages = "9485--9489",

journal = "IFAC-PapersOnLine",

issn = "1474-6670",

publisher = "IFAC Secretariat",

number = "1",

}

TY - JOUR

T1 - On Necessary and Sufficient Conditions for Mode Observability of a Class of State Dependant Switched Systems

AU - Mera, Manuel

AU - Javier Bejarano, Francisco

PY - 2017/7

Y1 - 2017/7

N2 - 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 Rn. 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.

AB - 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 Rn. 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.

KW - Affine Spaces

KW - Observability

KW - Piecewise Linear Systems

KW - Switching Systems

UR - http://www.scopus.com/inward/record.url?scp=85031794944&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2017.08.1583

DO - 10.1016/j.ifacol.2017.08.1583

M3 - Artículo

SN - 1474-6670

VL - 50

SP - 9485

EP - 9489

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 1

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this