Ensemble controllability of time-invariant linear systems

Ji Qi; S. Li

doi:10.1109/CDC.2013.6760292

Ensemble controllability of time-invariant linear systems

Ji Qi, S. Li

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

9 Scopus citations

Abstract

In this paper, we study the control of an ensemble of structurally similar time-invariant linear systems. In particular, we derive explicit necessary and sufficient controllability conditions for such systems in terms of the rank of the system matrices. We present examples to demonstrate these rank conditions, and construct optimal controls for steering a linear ensemble system between states of interest by using an optimization-free computational method based on the singular value decomposition. This work extends our previous results in ensemble control of time-varying linear systems, where the established controllability conditions are implicit and are defined by the singular system of the linear operator that characterizes the system dynamics.

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	2709-2714
Number of pages	6
ISBN (Print)	9781467357173
DOIs	https://doi.org/10.1109/CDC.2013.6760292
State	Published - 2013
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

Conference

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

Access to Document

10.1109/CDC.2013.6760292

Cite this

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title = "Ensemble controllability of time-invariant linear systems",

abstract = "In this paper, we study the control of an ensemble of structurally similar time-invariant linear systems. In particular, we derive explicit necessary and sufficient controllability conditions for such systems in terms of the rank of the system matrices. We present examples to demonstrate these rank conditions, and construct optimal controls for steering a linear ensemble system between states of interest by using an optimization-free computational method based on the singular value decomposition. This work extends our previous results in ensemble control of time-varying linear systems, where the established controllability conditions are implicit and are defined by the singular system of the linear operator that characterizes the system dynamics.",

author = "Ji Qi and S. Li",

year = "2013",

doi = "10.1109/CDC.2013.6760292",

language = "English",

isbn = "9781467357173",

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

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

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note = "52nd IEEE Conference on Decision and Control, CDC 2013 ; Conference date: 10-12-2013 Through 13-12-2013",

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Qi, J & Li, S 2013, Ensemble controllability of time-invariant linear systems. in 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013., 6760292, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 2709-2714, 52nd IEEE Conference on Decision and Control, CDC 2013, Florence, Italy, 12/10/13. https://doi.org/10.1109/CDC.2013.6760292

Ensemble controllability of time-invariant linear systems. / Qi, Ji; Li, S.
2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013. Institute of Electrical and Electronics Engineers Inc., 2013. p. 2709-2714 6760292 (Proceedings of the IEEE Conference on Decision and Control).

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

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Ensemble controllability of time-invariant linear systems

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