A Geometric Approach to Linear Ensemble Control Analysis and Design

Wei Miao, Jr Shin Li

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, we tackle the long-standing problem of ensemble control design and analysis with a geometric approach in a Hilbert space setting. Specifically, we formulate the control of linear ensemble systems as a convex feasibility problem that can be solved using the techniques of iterative weighted projections. Such a non-trivial geometric interpretation enables a systematic design procedure for constructing feasible and optimal ensemble control signals, and, further, enables the implementation of numerical schemes to examine ensemble reachability. We conduct numerical experiments to validate the theoretical developments and demonstrate the robustness of the iterative projection methods.

Original languageEnglish
Title of host publication2020 American Control Conference, ACC 2020
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4600-4605
Number of pages6
ISBN (Electronic)9781538682661
DOIs
StatePublished - Jul 2020
Event2020 American Control Conference, ACC 2020 - Denver, United States
Duration: Jul 1 2020Jul 3 2020

Publication series

NameProceedings of the American Control Conference
Volume2020-July
ISSN (Print)0743-1619

Conference

Conference2020 American Control Conference, ACC 2020
Country/TerritoryUnited States
CityDenver
Period07/1/2007/3/20

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