Control Rapidity Optimization Technique of DC-Motor Driven by Quasi-Resonant Converter Using Pontryagin's Maximum Principle

Abstract

The control optimization technique by the rapidity criterion, based on the maximum principle proposed by L.S. Pontryagin, was applied to the differential equations system, which is describes the DC-motor in time domain, and is constructed based on its dynamic model. A quasi-resonant pulsed converter keeps the DC-motor armature voltage stable. An optimal duration of each pulse in control sequence was calculated. Proposed approach allows calculating both the precision motions and rotations of DC-motor, and at the same time, with the highest possible rapidity. Analytical research was confirmed by simulation and experimental results that are agree each other accurate to a few percent. Proposed method allows calculation the optimal motion trajectories for precise magnetic recorders and robotic arms.