TY - GEN
T1 - A Generalized-Moment Method for Control-Affine Ensemble Systems
AU - Kuan, Yuan Hung
AU - Ning, Xin
AU - Li, Jr Shin
N1 - Publisher Copyright:
© 2023 IEEE.
PY - 2023
Y1 - 2023
N2 - Controlling dynamic ensemble systems is an essential yet challenging step to enable diverse applications in science and engineering. In this paper, we present a generalized moment method that gives rise to a moment representation of the control-affine ensemble system. The induced moment system is equipped with a banded structure that is beneficial to conducting systems-theoretic analysis and control design for ensemble systems. In addition, we introduce a Lie algebraic technique for exact bilinearization of nonlinear ensemble systems. This transformation provides a unified paradigm for studying highly intricate nonlinear ensemble systems through the associated bilinear moment systems. To demonstrate the applicability of the proposed method, we present numerical examples involving the control of nonlinear ensemble systems.
AB - Controlling dynamic ensemble systems is an essential yet challenging step to enable diverse applications in science and engineering. In this paper, we present a generalized moment method that gives rise to a moment representation of the control-affine ensemble system. The induced moment system is equipped with a banded structure that is beneficial to conducting systems-theoretic analysis and control design for ensemble systems. In addition, we introduce a Lie algebraic technique for exact bilinearization of nonlinear ensemble systems. This transformation provides a unified paradigm for studying highly intricate nonlinear ensemble systems through the associated bilinear moment systems. To demonstrate the applicability of the proposed method, we present numerical examples involving the control of nonlinear ensemble systems.
UR - http://www.scopus.com/inward/record.url?scp=85184820580&partnerID=8YFLogxK
U2 - 10.1109/CDC49753.2023.10383974
DO - 10.1109/CDC49753.2023.10383974
M3 - Conference contribution
AN - SCOPUS:85184820580
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 1654
EP - 1659
BT - 2023 62nd IEEE Conference on Decision and Control, CDC 2023
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 62nd IEEE Conference on Decision and Control, CDC 2023
Y2 - 13 December 2023 through 15 December 2023
ER -