A Fast Time-Optimal Control Synthesis Algorithm For A Class Of Linear Systems

Abstract

The paper deals with a new approach for synthesis of time-optimal control for a class of
linear systems. It is based on the decomposition of the time-optimal control problem into a class of
decreasing order problems, and the properties and relations between problems within this class.
First, the problems' state-space properties are analyzed, and then the optimal control is obtained
by using a multi-step procedure avoiding the switching hyper surface description. The emphasis in
this paper is on the optimal control synthesis stage of the approach proposed. A property of the
considered class of problems is studied which enables development of a fast algorithm for
synthesis of time-optimal control without using the switching hyper surface.