Title
A Geometric Approach To Linear Ensemble Control Analysis And Design
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.
Year
DOI
Venue
2020
10.23919/ACC45564.2020.9147556
2020 AMERICAN CONTROL CONFERENCE (ACC)
DocType
ISSN
Citations 
Conference
0743-1619
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Wei Miao100.68
Jr-Shin Li201.01