TY - GEN
T1 - Ensemble control of linear systems
AU - Li, Jr Shin
AU - Khaneja, Navin
PY - 2007
Y1 - 2007
N2 - In this article, we study ensemble control problems which involve controlling a continuum of dynamical systems with different dynamics by using the same control signal. In particular, we look into ensemble control of linear systems. From the standpoint of mathematical control theory, the challenge is to simultaneously steer a continuum of systems between points of interest with the same control signal. This raises some new and unexplored questions about controllability and optimal control of such systems. We analyze ensemble controllability and optimal control of linear systems and study in detail the problem of controlling an uncountable family of harmonic oscillators. We show how the ideas of polynomial approximation are in connection with the ensemble controllability. We also find the optimal ensemble control for this linear ensemble control system.
AB - In this article, we study ensemble control problems which involve controlling a continuum of dynamical systems with different dynamics by using the same control signal. In particular, we look into ensemble control of linear systems. From the standpoint of mathematical control theory, the challenge is to simultaneously steer a continuum of systems between points of interest with the same control signal. This raises some new and unexplored questions about controllability and optimal control of such systems. We analyze ensemble controllability and optimal control of linear systems and study in detail the problem of controlling an uncountable family of harmonic oscillators. We show how the ideas of polynomial approximation are in connection with the ensemble controllability. We also find the optimal ensemble control for this linear ensemble control system.
UR - http://www.scopus.com/inward/record.url?scp=62749121078&partnerID=8YFLogxK
U2 - 10.1109/CDC.2007.4434971
DO - 10.1109/CDC.2007.4434971
M3 - Conference contribution
AN - SCOPUS:62749121078
SN - 1424414989
SN - 9781424414987
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 3768
EP - 3773
BT - Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 46th IEEE Conference on Decision and Control 2007, CDC
Y2 - 12 December 2007 through 14 December 2007
ER -