
Accession Number : ADA192719
Title : TimeOptimal Adaptive Shaped Torque (TOAST) Technical Note.
Descriptive Note : Final rept. 1 Jul 8515 Nov 86,
Corporate Author : AIR FORCE WEAPONS LAB KIRTLAND AFB NM
Personal Author(s) : Cate, D L
PDF Url : ADA192719
Report Date : Jan 1988
Pagination or Media Count : 58
Abstract : A discussion of timeoptimal retargeting of beam steering mirrors is given. The argument for a bang bang waveform is given first along with a simple 2nd order regulator problem as an example. The method of solution for a 2nd order tracker problem is given with an example. An argument is then put forth for using the timeoptimal bang bang method on closedloop control systems. The solution for the general multipleorder complex eigenvalue bangbang boundary value problem is derived and an example is shown. This is followed by the demonstration of the time savings of the timeoptimal retargeting technique, in which a lead compensator with a pure inertia is used to show the relationship between the ratio of maximum torque to the torque required by a classical setpoint change and the savings in time for general retargeting problems. Finally, the timeoptimal retargeting solution is applied to general retargeting problems. From this analysis several conclusions about using time optimal control on real systems are drawn. Keywords: Bangbang, Retargeting; Time optimal.
Descriptors : *BEAM STEERING, *MIRRORS, *ADAPTIVE CONTROL SYSTEMS, CLOSED LOOP SYSTEMS, COMPENSATORS, CONTROL, CONTROL SYSTEMS, INERTIA, OPTIMIZATION, PURITY, RATIOS, SAVINGS, TARGETING, TIME, TORQUE, AIMING, WAVEFORMS, BOUNDARY VALUE PROBLEMS
Subject Categories : Target Direction, Range and Position Finding
Optics
Distribution Statement : APPROVED FOR PUBLIC RELEASE