On the computation of l∞ gains of switched systems

Petros G. Voulgaris

doi:10.1109/CDC.2011.6160614

On the computation of l_∞ gains of switched systems

Petros G. Voulgaris

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

Abstract

In this paper we compute l_∞ and l₁ induced norm bounds of switched linear systems. In particular, we concentrate on certain types of such systems, namely output switching, input switching, and combinations thereof, and we provide exact gains for the worst case switching. As an application of the input output approach of the paper, we consider the problem of sensitivity minimization and show that it is convex in the Youla et.al.-Kucera parameter.

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	1161-1165
Number of pages	5
ISBN (Print)	9781612848006
DOIs	https://doi.org/10.1109/CDC.2011.6160614
State	Published - 2011
Externally published	Yes
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

Keywords

Youla parameterization
switching

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Online availability

10.1109/CDC.2011.6160614

Library availability

Discover UIUC Full Text

Cite this

On the computation of l_∞ gains of switched systems. / Voulgaris, Petros G.
2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. p. 1161-1165 6160614 (Proceedings of the IEEE Conference on Decision and Control).

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

Voulgaris, PG 2011, On the computation of l_∞ gains of switched systems. in 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011., 6160614, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 1161-1165, 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.2011.6160614

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