A unified framework for the numerical solution of optimal control problems using pseudospectral methods
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Publication:620599
DOI10.1016/j.automatica.2010.06.048zbMath1219.49028OpenAlexW2107345353MaRDI QIDQ620599
David A. Benson, William W. Hager, Michael A. Patterson, Geoffrey T. Huntington, Divya Garg, Anil V. Rao
Publication date: 19 January 2011
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.automatica.2010.06.048
Nonlinear programming (90C30) Numerical methods based on nonlinear programming (49M37) Discrete approximations in optimal control (49M25)
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Uses Software
Cites Work
- Direct trajectory optimization and costate estimation of finite-horizon and infinite-horizon optimal control problems using a Radau pseudospectral method
- Convergence rates for direct transcription of optimal control problems using collocation at Radau points
- Connections between the covector mapping theorem and convergence of pseudospectral methods for optimal control
- Runge-Kutta methods in optimal control and the transformed adjoint system
- Algorithm 902
- A Chebyshev technique for solving nonlinear optimal control problems
- The pseudospectral Legendre method for discretizing optimal control problems
- Pseudospectral Methods for Optimal Motion Planning of Differentially Flat Systems
- Global integration of differential equations through Lobatto quadrature
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