Optimization of Transients in a Three-Tempo Singularly Perturbed System

This paper considers the problem of minimum-energy control of a linear singularly perturbed system with three groups of variables changing at significantly different rates. Asymptotic approximations to the solution of this problem are constructed in the form of open-loop control and feedback control. The main advantage is that the proposed computational procedures decompose the original problem into three unperturbed optimal control problems of lower dimension.