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 Liu1151.80
William W. Hager21603214.67
Anil V. Rao334129.35