Title
Finite-Horizon Covariance Control Of State-Affine Nonlinear Systems With Application To Proton Beamline Calibration
Abstract
In this paper, we address the problem of finite-horizon distribution steering of state-affine nonlinear systems using open-loop control. The terminal distribution is constrained by an isotropy constraint which enforces uniformity in all directions. With the nonlinear dynamics and the isotropy constraint, a constrained nonlinear optimization problem is formulated. To solve this nonlinear problem, this paper proposes a sequential linearized algorithm that generates feasible iterates. The main advantage of the proposed algorithm is that it requires no a priori knowledge of the global Lipschtiz property of the gradients of the cost and constraint functions. The performance of the proposed algorithm is demonstrated by a beamline calibration problem in proton therapy.
Year
DOI
Venue
2019
10.23919/ECC.2019.8796121
2019 18TH EUROPEAN CONTROL CONFERENCE (ECC)
Field
DocType
Citations 
Beamline,Isotropy,Applied mathematics,Proton therapy,Nonlinear system,Computer science,A priori and a posteriori,Iterated function,Calibration,Covariance
Conference
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Zheming Wang1308.12
Raphaël M. Jungers201.35
Quentin Flandroy300.34
Baptiste Herregods400.34
Cedric Hernalsteens500.34