An analysis of optimal control system algorithms

Abstract

Currently, there are methods available which were derived in the field of computer science to analyze and evaluate algorithms implemented in computer programs. The subject of this paper will involve a combination of three of these methods with a rather rigorous simulation of three invariant imbedding algorithms in a manner strictly slanted toward their usefulness and importance in control system applications. The algorithms used to solve the problems and special solution formulations of the problems are presented first. Then, the numerical routines which provided the most efficient implementation of the problems in their algorithmic form are explained. And last, the adaptation of the analysis techniques to the problems is shown to aid in understanding the final conclusions drawn.