Paper Info
Title
Ensemble Control Of Linear Systems
Abstract
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.
Year
DOI
Venue
2007
10.1109/CDC.2007.4434971
PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14
Keywords
Field
DocType
control theory,linear system,linear systems,control system,optimal control,harmonic oscillator,controllability,dynamic system,point of interest
Linear dynamical system,Mathematical optimization,Optimal control,Linear-quadratic-Gaussian control,Controllability,Dual control theory,Linear system,Computer science,Control theory,Automatic control,Sliding mode control
Conference
ISSN
Citations 
PageRank 
0743-1546
2
0.41
References 
Authors
1
2
Name
Order
Citations
PageRank
Shin Li Jr.111219.45
NAVIN KHANEJA2556.48