TY - GEN
T1 - On weak ensemble controllability with applications to a chain of integrators
AU - Tie, Lin
AU - Li, Jr Shin
N1 - Funding Information:
This work was supported by the National Natural Science Foundation of China under the grant 61573044, and the National Science Foundation under the awards CMMI-1301148, CMMI-1462796, and ECCS-1509342.
Publisher Copyright:
© 2016 IEEE.
PY - 2016/9/27
Y1 - 2016/9/27
N2 - Simultaneous and robust manipulation of a large ensemble of structurally similar dynamical systems is an essential task for many cutting-edge applications in emerging scientific and engineering areas, and the ability to achieve this goal enables the full understanding of such ensemble systems. Controllability of ensembles has been extensively studied in recent years, which is concerned with the ability to manipulate the whole ensemble with a common control signal. In this paper, we develop a weaker notion of ensemble controllability, in which we consider the property of steering the entire ensemble from the same initial to the same target state. Specifically, we consider time-invariant linear ensemble systems, including an ensemble with linear parameter variation and a chain of integrators in the presence of uncertainty, and establish explicit weak ensemble controllability conditions.
AB - Simultaneous and robust manipulation of a large ensemble of structurally similar dynamical systems is an essential task for many cutting-edge applications in emerging scientific and engineering areas, and the ability to achieve this goal enables the full understanding of such ensemble systems. Controllability of ensembles has been extensively studied in recent years, which is concerned with the ability to manipulate the whole ensemble with a common control signal. In this paper, we develop a weaker notion of ensemble controllability, in which we consider the property of steering the entire ensemble from the same initial to the same target state. Specifically, we consider time-invariant linear ensemble systems, including an ensemble with linear parameter variation and a chain of integrators in the presence of uncertainty, and establish explicit weak ensemble controllability conditions.
UR - http://www.scopus.com/inward/record.url?scp=84991690919&partnerID=8YFLogxK
U2 - 10.1109/WCICA.2016.7578826
DO - 10.1109/WCICA.2016.7578826
M3 - Conference contribution
AN - SCOPUS:84991690919
T3 - Proceedings of the World Congress on Intelligent Control and Automation (WCICA)
SP - 2370
EP - 2375
BT - Proceedings of the 2016 12th World Congress on Intelligent Control and Automation, WCICA 2016
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 12th World Congress on Intelligent Control and Automation, WCICA 2016
Y2 - 12 June 2016 through 15 June 2016
ER -