Algorithm 902: GPOPS, A MATLAB software for solving multiple-phase optimal control problems using the gauss pseudospectral method

By Anil V. Rao, David A. Benson, Christopher Darby, Michael A. Patterson, Camila Francolin, Ilyssa Sanders, Geoffrey T. Huntington. TOMS, 2010

684 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/2066f66a8df7190b3cde890e9aa26cd78489535d

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Citations in the corpus

GPOPS-II (2014, methodology): “The most well-developed p Gaussian quadrature methods are those that employ either Legendre-Gauss (LG) points [Benson et al. 2006; Rao et al. 2010], LegendreGauss-Radau (LGR) points [Garg et al.”
Optimal trajectory planning for trains under fixed and moving signaling systems using mixed integer linear programming (2014, methodology): “Algorithm 902: GPOPS, a35 matlab software for solving multiple- phase optimal control problems using the Gauss pseudospectral method.”
A unified framework for the numerical solution of optimal control problems using pseudospectral methods (2010, methodology): “, 1995; Fahroo & Ross, 2001), the Legendre–Gauss pseudospectralmethod (Benson et al., 2006; Rao et al., 2010), and the Legendre–Gauss–Radau pseudospectral method (Garg et al.”
A platoon based cooperative eco-driving model for mixed automated and human-driven vehicles at a signalised intersection (2018, methodology): “Algorithm 902: GPOPS, A MATLAB Software for Solving Multiple-phase677 Optimal Control Problems Using the Gauss Pseudospectral Method.”
AN OVERVIEW OF THREE PSEUDOSPECTRAL METHODS FOR THE NUMERICAL SOLUTION OF OPTIMAL CONTROL PROBLEMS (2017, methodology): “where L is the Lagrangian of the NLP of ( 12 ), i.e.,”
Pseudospectral methods for solving infinite-horizon optimal control problems (2011, methodology): “In recent years, the two most well-documented pseudospectral methods are the Legendre–Gauss–Lobatto pseudospectral method (Elnagar et al., 1995) and the Legendre–Gauss pseudospectral method (Benson et al., 2006; Garg et al., 2010; Rao et al., 2010).”
Optimal trajectory planning for trains – A pseudospectral method and a mixed integer linear programming approach (2013, methodology): “A Matlab-based open source tool that uses the Gauss pseudospectral method is GPOPS (Rao et al., 2010).”