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.

Original languageEnglish
Title of host publication2023 62nd IEEE Conference on Decision and Control, CDC 2023
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9798350301243
StatePublished - 2023
Event62nd IEEE Conference on Decision and Control, CDC 2023 - Singapore, Singapore
Duration: Dec 13 2023Dec 15 2023

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370


Conference62nd IEEE Conference on Decision and Control, CDC 2023


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