Final answer:
The question concerns selecting a lead compensator for a unity feedback system to reduce percentage overshoot, which is caused by delayed feedback in control systems.
Step-by-step explanation:
The question posed relates to the design of a lead compensator for a unity feedback system, with the aim of reducing the percentage overshoot caused by feedback delay. In control theory, overshoot is a phenomenon where the system output exceeds the desired target value due to delays in the feedback loop. Delays in a system's response result in overshoot and potentially oscillations, and the magnitude of the overshoot increases with the duration of the delay, as illustrated in the provided examples. To mitigate overshoot in a control system, a lead compensator can be designed to introduce a phase lead (positive phase shift), thereby improving the system's transient response and reducing overshoot. This compensator adjusts the timing of the feedback to align more closely with the system's dynamics, effectively reducing the delay and minimizing the overshoot.