Accession Number : AD0293152

Title :   THE PROBLEM OF OPTIMAL MODE SWITCHING

Corporate Author : CALIFORNIA UNIV LOS ANGELES

Personal Author(s) : NESBIT,R.A.

Report Date : 10 SEP 1962

Pagination or Media Count : 1

Abstract : A steepes descent modification of the switching time in a mo switchi g control system can be based on first variation computations, a d th computer storage requirement less than that required for functional descent. By i troducing control variabl s the mode switching system can be put in the format usually used in the study of control optimization. The application of the ma imum principle yields a necessary condition for optimum switching and a necessary condition for chattering. If the switching problem is relaxed to assure the existence of an optimal solution the computational problem of finding this optimum is not simplified by the switching approach although mechanization of the control system may be simplified. The u e of steepest descent procedure for determining the suboptimal control using a fixed number of switches, is only based upon differential arguments. Some knowle ge of the global properties of the trajectory is required to assure the usefulness of the procedure. (Author)

Descriptors :   *CONTROL SYSTEMS, *SPACECRAFT, *SWITCHING CIRCUITS, DYNAMICS, EQUATIONS, MATHEMATICAL ANALYSIS, ORBITS, REENTRY VEHICLES, VELOCITY

Distribution Statement : APPROVED FOR PUBLIC RELEASE