Heating monitored and optimal control of electric drives

In the first part of the paper it is considered an electric drive with static torque with constant component and speed proportional component. Using the classic calculus of variations is determined the extremal control and trajectory and the overheating that ensures maximum exploitation of the system resources represented by the achievement of a maximum variation of speed in the acceleration processes. In the second part, based on the recent discoveries in the thermovision field, we underline the importance of a system which collects, administrates, and processes thermographic images for some kinds of electric drive, where a real-time surveillance is not "must".