Two point Boundary Value Problems about "bvp4c"
10 ビュー (過去 30 日間)
古いコメントを表示
Karthi Ramachandran
2019 年 9 月 27 日
コメント済み: Karthi Ramachandran
2019 年 10 月 1 日
is "bvp4c" is a "direct" method of solving an optimal control problem, I see it uses collacation and mesh refinement which are said as direct methods in references .
I have a optimal control problem formulated with states and costates with boundary conditions . What i dont understand is , is "bvp4c" called a direct method method? does it transcribe into "Nonlinear Programming problem?"
0 件のコメント
採用された回答
Raunak Gupta
2019 年 10 月 1 日
Hi,
Direct method used for optimal control problem discretize the control problem into a nonlinear constrained optimization problem. bvp4c also divide the range of integration in case of multipoint Boundary value problem. The collocation technique uses a mesh for dividing the interval of integral to subintervals. Thus, solver solves the algebraic equations arising from the boundary condition and this process is repeated until error in numerical solution doesn’t exceed the tolerance criteria.
Thus, the boundary condition and the algorithm used in bvp4c makes it a direct method as final equation to solve on the subinterval are algebraic (can be linear or non-linear depending upon the integration problem).
You may refer to the following examples and reference for exploring more:
その他の回答 (0 件)
参考
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!