Iterative upwind finite difference method with completed richardson extrapolation for state-constrained HJB equations
In this work, we develop an iterative method in conjunction with an upwind finite difference discretization scheme for solving a Hamilton-Jacobi-Bellman (HJB) equation governing a class of state constrained optimal feedback control problems. We prove that the method is stable. We also propose an alg...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Yokohama Publishers
2016
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| Online Access: | http://www.ybook.co.jp/online2/pjov12-2.html http://hdl.handle.net/20.500.11937/15583 |
| Summary: | In this work, we develop an iterative method in conjunction with an upwind finite difference discretization scheme for solving a Hamilton-Jacobi-Bellman (HJB) equation governing a class of state constrained optimal feedback control problems. We prove that the method is stable. We also propose an algorithm for computational domain reduction and a completed Richardson extrapolation technique to improve the accuracy of numerical solutions from the method. Numerical results will be presented to demonstrate the accuracy and efficiency of the method. |
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