Step Response is the response of a control system when the input changes suddenly from zero to a constant value, typically represented by a unit step input . It is one of the most commonly used methods for analyzing the time-domain performance of a control system. The step response shows how the system output changes with time and helps evaluate characteristics such as rise time, peak time, settling time, maximum overshoot, and steady-state error. A well-designed system generally reaches the desired final value quickly, with acceptable overshoot and minimal oscillation.
Step Response of a Control System
Adjust the damping ratio and natural frequency to observe how a
second-order control system responds to a sudden step input.
The graph demonstrates rise time, peak time, overshoot, settling
behavior, and steady-state accuracy.
G(s) = ωₙ² / [s² + 2ζωₙs + ωₙ²]
0.40
3.0 rad/s
10 s
System Output
Reference / Final Value
Current Output
0.000
Peak Value
0.000
Peak Time
—
Overshoot
0.00%
Rise Time
—
Settling Time
—
Steady-State Error
0.000
System Type
Underdamped
Observation:
The system is underdamped. It oscillates around the final value
before settling.