Title
On The Computation Of Control Inputs For Linear Ensembles
Abstract
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
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 Zeng1196.41
Wei Zhang201.35
Shin Li Jr.311219.45