TY - GEN
T1 - On controllability of discrete-time linear ensemble systems with linear parameter variation
AU - Tie, Lin
AU - Li, Jr Shin
N1 - Funding Information:
This work was supported by the National Natural Science Foundation of China under grants 61203231 and 61573044, and the National Science Foundation under the awards CMMI-1301148 and CMMI-1462796.
Publisher Copyright:
© 2016 American Automatic Control Council (AACC).
PY - 2016/7/28
Y1 - 2016/7/28
N2 - The control of ensembles of dynamic systems is receiving increased attention due to newly emerging applications in science and engineering. Controllability of linear ensemble systems has been extensively studied in recent years with a special focus on continuous-time systems. In this paper, we study a class of discrete-time linear ensemble systems, whose natural dynamics vary linearly with the system parameter, as well as a class of discrete-time bilinear ensemble systems. We establish explicit controllability and reachability conditions for these ensemble systems and show that stability plays an important role for controllability of the linear ensemble systems. In addition, we analyze how the controllability can be affected through discretization for continuous-time linear ensemble systems and provide a sufficient condition under which controllability property is invariant with discretization.
AB - The control of ensembles of dynamic systems is receiving increased attention due to newly emerging applications in science and engineering. Controllability of linear ensemble systems has been extensively studied in recent years with a special focus on continuous-time systems. In this paper, we study a class of discrete-time linear ensemble systems, whose natural dynamics vary linearly with the system parameter, as well as a class of discrete-time bilinear ensemble systems. We establish explicit controllability and reachability conditions for these ensemble systems and show that stability plays an important role for controllability of the linear ensemble systems. In addition, we analyze how the controllability can be affected through discretization for continuous-time linear ensemble systems and provide a sufficient condition under which controllability property is invariant with discretization.
UR - http://www.scopus.com/inward/record.url?scp=84992143354&partnerID=8YFLogxK
U2 - 10.1109/ACC.2016.7526669
DO - 10.1109/ACC.2016.7526669
M3 - Conference contribution
AN - SCOPUS:84992143354
T3 - Proceedings of the American Control Conference
SP - 6357
EP - 6362
BT - 2016 American Control Conference, ACC 2016
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2016 American Control Conference, ACC 2016
Y2 - 6 July 2016 through 8 July 2016
ER -