Time response of a second order system to a unit step input. See below the instructions.
Please input the gain, damping and natural frequency and observe the response of the system. Could you figure out, before hitting the <enter> key what the overshoot and establishing time will be? Observe the relation between damping and over shoot. What is the relation of the overshoot and the angle [math]\beta=\arccos(\zeta))[/math] (damping = [math]\zeta[/math])? What is the relation between the poles real part and the establishment time (time to reach final value within less than 2% error)? Don't forget that you can zoom "in" and "out" with <Ctrl> and the mouse´s wheel.