A ph mesh refinement method for optimal control

• Published in: Optimal control applications & methods Vol. 36; no. 4; pp. 398 - 421
• Main Authors: Patterson, Michael A., Hager, William W., Rao, Anil V.
• Format: Journal Article
• Language: English
• Published: Glasgow Blackwell Publishing Ltd 01.07.2015; Wiley Subscription Services, Inc
• Subjects: Approximation; collocation; Computational efficiency; Estimates; Gaussian quadrature; Intervals; mesh refinement; Optimal control; Permissible error; Polynomials; Tolerances; variable-order

SummaryA mesh refinement method is described for solving a continuous‐time optimal control problem using collocation at Legendre–Gauss–Radau points. The method allows for changes in both the number of mesh intervals and the degree of the approximating polynomial within a mesh interval. First, a rela...