A Gauss pseudospectral transcription for optimal control

By David A. Benson. 2005

442 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/b38b2d0f9a195f184d04d6b8586d5fb0c79b540d

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Citations in the corpus

Pseudospectral methods for solving infinite-horizon optimal control problems (2011, methodology): “, 1995) and the Legendre–Gauss pseudospectral method (Benson et al., 2006; Garg et al., 2010; Rao et al., 2010). In this paper we describe two new pseudospectral methods for the numerical solution of nonlinear infinite-horizon optimal control problems based on either LG or LGR collocation. For eithe”
AN OVERVIEW OF THREE PSEUDOSPECTRAL METHODS FOR THE NUMERICAL SOLUTION OF OPTIMAL CONTROL PROBLEMS (2017, unknown): “6–8,16,17 In addition, an LGR collocation method for the special case of inﬁnite-horizon optimal control problems has been discussed in Ref.”
Direct Trajectory Optimization and Costate Estimation via an Orthogonal Collocation Method (2006, methodology): “Some other useful relationships involve the derivative of the costate approximation as follows [17]: _ L†i k D†ki wi wk Dik; i; k 1; .”
An hp‐adaptive pseudospectral method for solving optimal control problems (2011, methodology): “(20) The NLP arising from the GPM is then to minimize the cost function of (16) subject to the algebraic constraints of Equations (17)–(20).”
Wavelet Collocation Method for Optimal Control Problems (2009, methodology): “The analytical solution for this problem is [16]”
A General-Purpose Software Framework for Dynamic Optimization (Een algemene softwareomgeving voor dynamische optimalisatie) (2013, unknown): “This is important for collocation in general, where the finer control discretization comes at little additional cost, and pseudospectral collocation methods [35] that employ high order polynomials, in particular.”
Algorithm 902: GPOPS, A MATLAB software for solving multiple-phase optimal control problems using the gauss pseudospectral method (2010, methodology): “The GPM was chosen as the basis for the algorithm of this article because it has many useful numerical properties including the ability to generate highly accurate costates (adjoints) [Benson 2004; Benson et al. 2006; Hunting-ton 2007] of the continuous-time optimal control problem.”