Robust invertibility of switched linear systems

Aneel Tanwani; Daniel Liberzon

doi:10.1109/CDC.2011.6161368

Robust invertibility of switched linear systems

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In this paper, we address the effects of uncertainties in output measurements and initial conditions on invertibility of the switched systems - the problem concerned with the recovery of the input and the switching signal using the output and the initial state. By computing the reachable sets and maximal error in the propagation of state trajectories through the inverse system, we derive conditions under which it is possible to recover the exact switching signal over a certain time interval, provided the uncertainties are bounded in some sense. In addition, we discuss separately the case where each subsystem is minimum phase and it is possible to recover the exact switching signal globally in time. The input, though, is recoverable only up to a neighborhood of the original input.

Original language	English (US)
Title of host publication	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	441-446
Number of pages	6
ISBN (Print)	9781612848006
DOIs	https://doi.org/10.1109/CDC.2011.6161368
State	Published - 2011
Event	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States Duration: Dec 12 2011 → Dec 15 2011

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Other

Other	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Country/Territory	United States
City	Orlando, FL
Period	12/12/11 → 12/15/11

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Online availability

10.1109/CDC.2011.6161368

Library availability

Discover UIUC Full Text

Cite this

Tanwani, A., & Liberzon, D. (2011). Robust invertibility of switched linear systems. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (pp. 441-446). Article 6161368 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2011.6161368

Robust invertibility of switched linear systems. / Tanwani, Aneel; Liberzon, Daniel.
2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. p. 441-446 6161368 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Tanwani, A & Liberzon, D 2011, Robust invertibility of switched linear systems. in 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011., 6161368, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 441-446, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Orlando, FL, United States, 12/12/11. https://doi.org/10.1109/CDC.2011.6161368

@inproceedings{418b383d86df4ea5ad15796bf50cce8f,

title = "Robust invertibility of switched linear systems",

abstract = "In this paper, we address the effects of uncertainties in output measurements and initial conditions on invertibility of the switched systems - the problem concerned with the recovery of the input and the switching signal using the output and the initial state. By computing the reachable sets and maximal error in the propagation of state trajectories through the inverse system, we derive conditions under which it is possible to recover the exact switching signal over a certain time interval, provided the uncertainties are bounded in some sense. In addition, we discuss separately the case where each subsystem is minimum phase and it is possible to recover the exact switching signal globally in time. The input, though, is recoverable only up to a neighborhood of the original input.",

author = "Aneel Tanwani and Daniel Liberzon",

year = "2011",

doi = "10.1109/CDC.2011.6161368",

language = "English (US)",

isbn = "9781612848006",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "441--446",

booktitle = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011",

address = "United States",

note = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 ; Conference date: 12-12-2011 Through 15-12-2011",

}

TY - GEN

T1 - Robust invertibility of switched linear systems

AU - Tanwani, Aneel

AU - Liberzon, Daniel

PY - 2011

Y1 - 2011

N2 - In this paper, we address the effects of uncertainties in output measurements and initial conditions on invertibility of the switched systems - the problem concerned with the recovery of the input and the switching signal using the output and the initial state. By computing the reachable sets and maximal error in the propagation of state trajectories through the inverse system, we derive conditions under which it is possible to recover the exact switching signal over a certain time interval, provided the uncertainties are bounded in some sense. In addition, we discuss separately the case where each subsystem is minimum phase and it is possible to recover the exact switching signal globally in time. The input, though, is recoverable only up to a neighborhood of the original input.

AB - In this paper, we address the effects of uncertainties in output measurements and initial conditions on invertibility of the switched systems - the problem concerned with the recovery of the input and the switching signal using the output and the initial state. By computing the reachable sets and maximal error in the propagation of state trajectories through the inverse system, we derive conditions under which it is possible to recover the exact switching signal over a certain time interval, provided the uncertainties are bounded in some sense. In addition, we discuss separately the case where each subsystem is minimum phase and it is possible to recover the exact switching signal globally in time. The input, though, is recoverable only up to a neighborhood of the original input.

UR - http://www.scopus.com/inward/record.url?scp=84860672698&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84860672698&partnerID=8YFLogxK

U2 - 10.1109/CDC.2011.6161368

DO - 10.1109/CDC.2011.6161368

M3 - Conference contribution

AN - SCOPUS:84860672698

SN - 9781612848006

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 441

EP - 446

BT - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011

Y2 - 12 December 2011 through 15 December 2011

ER -

Robust invertibility of switched linear systems

Abstract

Publication series

Other

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this