Abstract

In this paper, we study the control of the class of time-invariant linear ensemble systems, whose natural dynamics vary linearly with the system parameter. This class of ensemble control systems arises from practical engineering and physical applications, such as transport of quantum atoms and steering of uncertain harmonic systems. We, in particular, consider the ensemble systems with strictly positive or negative parameter values and derive explicit necessary and sufficient controllability conditions, which are easy to be checked. Our derivation is based on the notion of polynomial approximation, where the elements of the reachable set are represented in polynomials of the system parameter and used to approximate the desired state of interest. In addition, we highlight the role of the spectra of the system matrices play in the determination of ensemble controllability. Illustrative examples with numerical simulations are provided to demonstrate the tractability of the developed controllability conditions.

Original languageEnglish
Title of host publication53rd IEEE Conference on Decision and Control,CDC 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5113-5118
Number of pages6
EditionFebruary
ISBN (Electronic)9781479977468
DOIs
StatePublished - 2014
Event2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States
Duration: Dec 15 2014Dec 17 2014

Publication series

NameProceedings of the IEEE Conference on Decision and Control
NumberFebruary
Volume2015-February
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014
Country/TerritoryUnited States
CityLos Angeles
Period12/15/1412/17/14

Fingerprint

Dive into the research topics of 'Controllability characterization of linear ensemble systems'. Together they form a unique fingerprint.

Cite this