A control engineer is tasked with designing a cascade compensator for a motor control system. The system exhibits a slow transient response with insufficient damping. To address this, the engineer places the compensator's zero closer to the imaginary axis than its pole.

What is the purpose of this specific pole$-$zero placement, and how does it impact the system's transient behavior?A$.$ To cancel existing poles of the motor control system, ensuring stability.B$.$ To achieve a total phase contribution of $180$ degrees at the design point for improved transient response.C$.$ To slow down the system response to avoid instability.D$.$ To speed up the system's response by increasing effective damping.E$.$ To shift the system's dominant poles further left in the splane for faster response.F$.$ To minimize overshoot by aligning pole$-$zero locations directly.