Comments on "Observability of Switched Linear Systems: Characterization and Observer Design"

Aneel Tanwani, Hyungbo Shim, Daniel Liberzon

Research output: Contribution to journalReview article

Abstract

This note points out certain limitations of our results from the paper mentioned in the title, and provides a modified approach to overcome these limitations. Specifically, the observer design addressed in the aforementioned paper is, in general, only applicable to switched linear systems with invertible state reset maps and this note presents a modified algorithm for state estimation that can also handle non-invertible state reset maps. In the process, we also identify some equalities from that paper which may not hold in general for arbitrary state reset maps.

Original languageEnglish (US)
Article number7084623
Pages (from-to)3396-3400
Number of pages5
JournalIEEE Transactions on Automatic Control
Volume60
Issue number12
DOIs
StatePublished - Dec 2015

Fingerprint

Observability
Linear systems
State estimation

Keywords

  • Control theory
  • observability
  • state estimation
  • switching systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

Cite this

Comments on "Observability of Switched Linear Systems : Characterization and Observer Design". / Tanwani, Aneel; Shim, Hyungbo; Liberzon, Daniel.

In: IEEE Transactions on Automatic Control, Vol. 60, No. 12, 7084623, 12.2015, p. 3396-3400.

Research output: Contribution to journalReview article

@article{06190a71dfcd41dc95ce0380afcefe71,
title = "Comments on {"}Observability of Switched Linear Systems: Characterization and Observer Design{"}",
abstract = "This note points out certain limitations of our results from the paper mentioned in the title, and provides a modified approach to overcome these limitations. Specifically, the observer design addressed in the aforementioned paper is, in general, only applicable to switched linear systems with invertible state reset maps and this note presents a modified algorithm for state estimation that can also handle non-invertible state reset maps. In the process, we also identify some equalities from that paper which may not hold in general for arbitrary state reset maps.",
keywords = "Control theory, observability, state estimation, switching systems",
author = "Aneel Tanwani and Hyungbo Shim and Daniel Liberzon",
year = "2015",
month = "12",
doi = "10.1109/TAC.2015.2422483",
language = "English (US)",
volume = "60",
pages = "3396--3400",
journal = "IEEE Transactions on Automatic Control",
issn = "0018-9286",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "12",

}

TY - JOUR

T1 - Comments on "Observability of Switched Linear Systems

T2 - Characterization and Observer Design"

AU - Tanwani, Aneel

AU - Shim, Hyungbo

AU - Liberzon, Daniel

PY - 2015/12

Y1 - 2015/12

N2 - This note points out certain limitations of our results from the paper mentioned in the title, and provides a modified approach to overcome these limitations. Specifically, the observer design addressed in the aforementioned paper is, in general, only applicable to switched linear systems with invertible state reset maps and this note presents a modified algorithm for state estimation that can also handle non-invertible state reset maps. In the process, we also identify some equalities from that paper which may not hold in general for arbitrary state reset maps.

AB - This note points out certain limitations of our results from the paper mentioned in the title, and provides a modified approach to overcome these limitations. Specifically, the observer design addressed in the aforementioned paper is, in general, only applicable to switched linear systems with invertible state reset maps and this note presents a modified algorithm for state estimation that can also handle non-invertible state reset maps. In the process, we also identify some equalities from that paper which may not hold in general for arbitrary state reset maps.

KW - Control theory

KW - observability

KW - state estimation

KW - switching systems

UR - http://www.scopus.com/inward/record.url?scp=84961572710&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84961572710&partnerID=8YFLogxK

U2 - 10.1109/TAC.2015.2422483

DO - 10.1109/TAC.2015.2422483

M3 - Review article

AN - SCOPUS:84961572710

VL - 60

SP - 3396

EP - 3400

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 0018-9286

IS - 12

M1 - 7084623

ER -