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 Wang | 1 | 30 | 8.12 |
Raphaël M. Jungers | 2 | 0 | 1.35 |
Quentin Flandroy | 3 | 0 | 0.34 |
Baptiste Herregods | 4 | 0 | 0.34 |
Cedric Hernalsteens | 5 | 0 | 0.34 |