Accession Number : ADA192719

Title :   Time-Optimal Adaptive Shaped Torque (TOAST) Technical Note.

Descriptive Note : Final rept. 1 Jul 85-15 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 time-optimal 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 time-optimal bang bang method on closed-loop control systems. The solution for the general multiple-order complex eigenvalue bang-bang boundary value problem is derived and an example is shown. This is followed by the demonstration of the time savings of the time-optimal 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 set-point change and the savings in time for general retargeting problems. Finally, the time-optimal retargeting solution is applied to general retargeting problems. From this analysis several conclusions about using time optimal control on real systems are drawn. Keywords: Bang-bang, 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