A back propagation through time‐like min–max optimal control algorithm for nonlinear systems. (28th March 2012)

• Record Type: Journal Article
• Authors: Milić, Vladimir; Kasać, Josip; Majetić, Dubravko
• Is Part Of: Optimal control applications and methods. Volume 34:Number 3(2013:May/Jun.)
• Page Start: 364
• Page End: 378
• Publication Date: 2012-03-28
• Subjects: Control theory -- Periodicals; Mathematical optimization -- Periodicals; 629.8312
• DOI: 10.1002/oca.2030
• Languages: English
• ISSNs: 0143-2087

Abstract

<abstract abstract-type="main" id="oca2030-abs-0001"> <title>SUMMARY</title> <p>This paper presents a conjugate gradient‐based algorithm for feedback min–max optimal control of nonlinear systems. The algorithm has a backward‐in‐time recurrent structure similar to the back propagation through time (BPTT) algorithm. The control law is given as the output of the one‐layer NN. Main contribution of the paper includes the integration of BPTT techniques, conjugate gradient methods, Adams method for solving ODEs and automatic differentiation, to provide an effective, numerically robust algorithm for solving optimal min–max control problems. The proposed algorithm is evaluated on a robotic system with two DOFs. Copyright © 2012 John Wiley &amp; Sons, Ltd.</p> </abstract>