SENSITIVITY OF A SECOND-ORDER OPTIMAL CONTROL SYSTEM TO PLANT PARAMETER VARIATIONS.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING
Pagination or Media Count:
The time-optimal controller, synthesized by application of the Maxumun Principle of Pontryagin, is an open-loop controller and is unresponsive to variations in the plant parameters. The sensitivity of the second-order regulator system was defined as the variation in the terminal state when forced by the nominal control law, and the variation in the performance index when forced by the actual-optimal control law. Both sensitivities were found to be functionals of the initial conditions, control magnitude, plant parameter variations, and time. The initial conditions corresponding to minimum sensitivity were an initial velocity and zero displacement. Author
- Operations Research