Title | ||
---|---|---|
Adaptive Mesh Refinement Method for Optimal Control Using Decay Rates of Legendre Polynomial Coefficients. |
Abstract | ||
---|---|---|
An adaptive mesh refinement method for solving optimal control problems is described. The method employs orthogonal collocation at Legendre-Gauss-Radau points. Accuracy in the method is achieved by adjusting the number of mesh intervals, the polynomial degree within each mesh interval, and, when possible, reducing the mesh size. The decision to increase the degree of the polynomial within a mesh i... |
Year | DOI | Venue |
---|---|---|
2018 | 10.1109/TCST.2017.2702122 | IEEE Transactions on Control Systems Technology |
Keywords | Field | DocType |
Optimal control,Convergence,Partial differential equations,Upper bound,Aircraft,Aerospace engineering,Manganese | Convergence (routing),Applied mathematics,Mathematical optimization,Optimal control,Polynomial,Control theory,Upper and lower bounds,Orthogonal collocation,Degree of a polynomial,Legendre polynomials,Adaptive mesh refinement,Mathematics | Journal |
Volume | Issue | ISSN |
26 | 4 | 1063-6536 |
Citations | PageRank | References |
1 | 0.36 | 8 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Fengjin Liu | 1 | 15 | 1.80 |
William W. Hager | 2 | 1603 | 214.67 |
Anil V. Rao | 3 | 341 | 29.35 |