Pseudospectral Methods for Infinite-Horizon Nonlinear Optimal Control Problems

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Pseudospectral Optimal Control and Its Convergence Theorems (2008, background): “In recent years, a new class of methods known as pseudospectral (PS) methods have emerged as demonstrable candidates for real-time computation [1, 11, 22, 24, 25, 26, 29].”
A unified framework for the numerical solution of optimal control problems using pseudospectral methods (2010, background): “…have become increasingly popular in the numerical solution of optimal control problems (Benson, Huntington, Thorvaldsen, & Rao, 2006; Elnagar, Kazemi, & Razzaghi, 1995; Fahroo & Ross, 2001, 2008b; Garg et al., 2009; Kameswaran & Biegler, 2008; Rao et al., 2010; Vlassenbroeck & Doreen, 1988).”
Pseudospectral methods for solving infinite-horizon optimal control problems (2011, methodology): “(4) The change of variables φa(τ ) was originally proposed in Fahroo and Ross (2008), while the transformations φb(τ ) and φc(τ ) are introduced in this paper.”
Riemann–Stieltjes Optimal Control Problems for Uncertain Dynamic Systems (2015, unknown): “(44) may be written equivalently as [12,22,23]”
Optimal Feedback Control: Foundations, Examples, and Experimental Results for a New Approach (2008, methodology): “Infinite-horizon problems are directly addressed in [6,7].”