Analysis and synthesis of interconnected SISO positive systems with switching

Yoshio Ebihara; Dimitri Peaucelle; Denis Arzelier

doi:10.1109/CDC.2013.6760897

Analysis and synthesis of interconnected SISO positive systems with switching

Yoshio Ebihara, Dimitri Peaucelle, Denis Arzelier

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

7 Citations (Scopus)

Abstract

This paper addresses the analysis and synthesis of interconnected systems constructed from SISO positive subsystems and a nonnegative interconnection matrix. We focus on the case where the interconnection matrix switches over a finite set of given nonnegative matrices. By analyzing the existence of a first integral, we clarify a condition under which the state of the interconnected system, starting from any nonnegative initial state, becomes nonnegative and bounded under arbitrary switching. By extending this result, we establish a linearprogramming- based method to synthesize the interconnection matrices to achieve a switching formation control of multi-agent positive systems.

Original language	English
Title of host publication	2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	6372-6378
Number of pages	7
ISBN (Print)	9781467357173
DOIs	https://doi.org/10.1109/CDC.2013.6760897
Publication status	Published - 2013
Externally published	Yes
Event	52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italy Duration: Dec 10 2013 → Dec 13 2013

Publication series

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

Other

Other	52nd IEEE Conference on Decision and Control, CDC 2013
Country/Territory	Italy
City	Florence
Period	12/10/13 → 12/13/13

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

Access to Document

10.1109/CDC.2013.6760897

Cite this

Ebihara, Y., Peaucelle, D., & Arzelier, D. (2013). Analysis and synthesis of interconnected SISO positive systems with switching. In 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013 (pp. 6372-6378). Article 6760897 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2013.6760897

Analysis and synthesis of interconnected SISO positive systems with switching. / Ebihara, Yoshio; Peaucelle, Dimitri; Arzelier, Denis.
2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013. Institute of Electrical and Electronics Engineers Inc., 2013. p. 6372-6378 6760897 (Proceedings of the IEEE Conference on Decision and Control).

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

Ebihara, Y, Peaucelle, D & Arzelier, D 2013, Analysis and synthesis of interconnected SISO positive systems with switching. in 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013., 6760897, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 6372-6378, 52nd IEEE Conference on Decision and Control, CDC 2013, Florence, Italy, 12/10/13. https://doi.org/10.1109/CDC.2013.6760897

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AB - This paper addresses the analysis and synthesis of interconnected systems constructed from SISO positive subsystems and a nonnegative interconnection matrix. We focus on the case where the interconnection matrix switches over a finite set of given nonnegative matrices. By analyzing the existence of a first integral, we clarify a condition under which the state of the interconnected system, starting from any nonnegative initial state, becomes nonnegative and bounded under arbitrary switching. By extending this result, we establish a linearprogramming- based method to synthesize the interconnection matrices to achieve a switching formation control of multi-agent positive systems.

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BT - 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013

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T2 - 52nd IEEE Conference on Decision and Control, CDC 2013

Y2 - 10 December 2013 through 13 December 2013

ER -

Analysis and synthesis of interconnected SISO positive systems with switching

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All Science Journal Classification (ASJC) codes

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