Final answer:
The most desirable output response in terms of overshoot is typically no overshoot. Option 1 is correct.
Step-by-step explanation:
When discussing the desired output response in terms of overshoot for a system, generally, the most desirable response is no overshoot (1). Overshoot occurs when a system exceeds its target equilibrium state. This is often a consequence of delaying negative feedback, which serves as a corrective and stabilizing influence. If delayed, it allows the system to deviate further before correcting, leading to overshoot.
In many applications, the goal is for the system to reach and maintain equilibrium as smoothly as possible. This is represented by a critically damped system, which adjusts to equilibrium as quickly as possible without any oscillation or overshoot. In contrast, an underdamped system moves quickly but oscillates, potentially causing overshoot, whereas an overdamped system approaches equilibrium more slowly, often seen as too conservative a response.
Overshoot represents a system exceeding its target equilibrium, often caused by delayed negative feedback, and is rectified by achieving critical damping for smooth settling without oscillation.