Switching among structured stabilizing controllers

Shengxiang Jiang; Petros G. Voulgaris

doi:10.1109/CDC.2007.4435007

Switching among structured stabilizing controllers

Shengxiang Jiang, Petros G. Voulgaris

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

Abstract

In this paper we consider the problem of designing a controller K that consists of a set of structured stabilizing components {K^m} _m=1ⁿ. At each time instant depending on the mode J _m of operation, the corresponding component K^m is used. We seek conditions so that a controller, implemented in this form, minimizes the worst case ℓ_∞-induced norm under arbitrary switching of the controller among n components, while providing a pre-specifled performance level γ_m in each operational mode J_m. Based on the Youla-Kucera parameterization, the design problem can be converted into a sequence of linear programming problems, the solutions of which provide an approximate solution of the original problem with any given precision. A numerical example is included to demonstrate the efficiency of algorithms.

Original language	English (US)
Title of host publication	Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3260-3265
Number of pages	6
ISBN (Print)	1424414989, 9781424414987
DOIs	https://doi.org/10.1109/CDC.2007.4435007
State	Published - 2007
Externally published	Yes
Event	46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States Duration: Dec 12 2007 → Dec 14 2007

Publication series

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

Other

Other	46th IEEE Conference on Decision and Control 2007, CDC
Country/Territory	United States
City	New Orleans, LA
Period	12/12/07 → 12/14/07

Keywords

Arbitrary switching
Structured
Worst case
Youla

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Online availability

10.1109/CDC.2007.4435007

Library availability

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Cite this

Switching among structured stabilizing controllers. / Jiang, Shengxiang; Voulgaris, Petros G.
Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. Institute of Electrical and Electronics Engineers Inc., 2007. p. 3260-3265 4435007 (Proceedings of the IEEE Conference on Decision and Control).

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

Jiang, S & Voulgaris, PG 2007, Switching among structured stabilizing controllers. in Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC., 4435007, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 3260-3265, 46th IEEE Conference on Decision and Control 2007, CDC, New Orleans, LA, United States, 12/12/07. https://doi.org/10.1109/CDC.2007.4435007

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Switching among structured stabilizing controllers

Abstract

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Keywords

ASJC Scopus subject areas

Online availability

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