TY - GEN
T1 - An iterative method for computing optimal controls for bilinear quadratic tracking problems
AU - Bomela, Walter
AU - Li, Jr Shin
N1 - Funding Information:
This work was supported by 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 - In this paper, an iterative method for synthesizing optimal controls for the bilinear quadratic tracking problem is investigated. The presented method is easy to implement as the control law of the bilinear system is obtained iteratively by considering a sequence of linear systems. The minimizing control law is calculated iteratively through solving a set of coupled state-dependent differential equations derived from the Hamilton-Jacobi-Bellman equation. The proof of convergence of the iterative procedure is provided, and the convergence is demonstrated by numerical simulations for three example tracking problems.
AB - In this paper, an iterative method for synthesizing optimal controls for the bilinear quadratic tracking problem is investigated. The presented method is easy to implement as the control law of the bilinear system is obtained iteratively by considering a sequence of linear systems. The minimizing control law is calculated iteratively through solving a set of coupled state-dependent differential equations derived from the Hamilton-Jacobi-Bellman equation. The proof of convergence of the iterative procedure is provided, and the convergence is demonstrated by numerical simulations for three example tracking problems.
UR - http://www.scopus.com/inward/record.url?scp=84992080033&partnerID=8YFLogxK
U2 - 10.1109/ACC.2016.7525361
DO - 10.1109/ACC.2016.7525361
M3 - Conference contribution
AN - SCOPUS:84992080033
T3 - Proceedings of the American Control Conference
SP - 2912
EP - 2917
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 -