Control Systems

b / s^2 + as + b

Resolution 20

a 0.02

b 0.04

Natural Frequency Omegan 1, 越大反應時間越短

Damping ratio 0.7, 越大overshoot越小

Tp = PI / (omegan * sqrt(1 - damp ** 2)) = 4.399

%overshoot = exp(-(damp * PI / sqrt(1 - damp ** 2))) * 100= 4.599

Ts = 4 / (damp * omegan) = 5.714

Tr = (0.8 + 2.5 * damp) / omegan = 2.550