Title
Optimal Control Of Bilinear Ensembles With Free-Endpoint Constraints
Abstract
Optimal control of bilinear ensemble systems has been of great importance and interest in the areas of mathematical and computational optimal control. However, effective methods for solving these emerging optimal control problems remain underdeveloped. In this work, we extend the iterative method developed in our previous work for solving the fixed-endpoint optimal control problems to solve for the optimal control with free-endpoint conditions. The method is based on solving the corresponding optimal control problem for a linear ensemble system at each iteration and does not require numerical optimization. We discuss the convergence of the iterative method and explore the stochastic ensemble systems driven by Gaussian noise. We also illustrate its robustness and applicability with numerical examples.
Year
DOI
Venue
2018
10.1109/CDC.2018.8619525
2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC)
Field
DocType
ISSN
Convergence (routing),Mathematical optimization,Optimal control,Computer science,Iterative method,Robustness (computer science),Ensemble systems,Gaussian noise,Bilinear interpolation
Conference
0743-1546
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Shuo Wang130354.05
Shin Li Jr.211219.45