TY - GEN
T1 - A Geometric Approach to Linear Ensemble Control Analysis and Design
AU - Miao, Wei
AU - Li, Jr Shin
N1 - Funding Information:
This work was supported in part by the National Science Foundation under the awards CMMI-1462796, CMMI-1933976, ECCS-1509342, and ECCS-1810202, and by the Air Force Office of Scientific Research under the award FA9550-17-1-0166.
Publisher Copyright:
© 2020 AACC.
PY - 2020/7
Y1 - 2020/7
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85089573726&partnerID=8YFLogxK
U2 - 10.23919/ACC45564.2020.9147556
DO - 10.23919/ACC45564.2020.9147556
M3 - Conference contribution
AN - SCOPUS:85089573726
T3 - Proceedings of the American Control Conference
SP - 4600
EP - 4605
BT - 2020 American Control Conference, ACC 2020
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2020 American Control Conference, ACC 2020
Y2 - 1 July 2020 through 3 July 2020
ER -