Abstract | ||
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In this paper, we revisit the classical ensemble control formulation and provide a solution to the longstanding problem of systematically designing input signals that realize a desired steering between two ensemble states. We present a new computational approach based on a suitable discretization of the integral operator related to the ensemble formulation. Specifically, we apply different methods to appropriately discretize the range operator of the ensemble system, by which we obtain a computational procedure to synthesize control signals that steer ensembles in both a robust and minimum energy fashion. We also present an extension to the previously introduced polynomial approximation technique, which is a closely related special case. This yields a unified framework for the ensemble control of linear systems, which is illustrated by means of computational examples. |
Year | Venue | Field |
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2018 | 2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC) | Applied mathematics,Discretization,Polynomial,Linear system,Controllability,Control theory,Computer science,Integral equation,Robustness (computer science),Operator (computer programming),Computation |
DocType | ISSN | Citations |
Conference | 0743-1619 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Shen Zeng | 1 | 19 | 6.41 |
Wei Zhang | 2 | 0 | 1.35 |
Shin Li Jr. | 3 | 112 | 19.45 |