I don't know your Buck Converter model. However, in this example, the filter divisor N is 751. Generally, the value for N is high. Since you asked about the value for N, then I guess you designed yours using the ideal form:
If your theoretical ideal gives a good performance on paper, then you should make this term in the denominator of the derivative filter relatively small, because
% Buck Converter Transfer Function
V = 100;
C = 1e-6;
L = 2.2e-3;
R = 500;
Gp = tf(V/(C*L), [1 1/(R*C) 1/(C*L)])
Gp =
4.545e10
-----------------------
s^2 + 2000 s + 4.545e08
Continuous-time transfer function.
margin(Gp) % Stable but Phase margin is very small, oscillatory response is expected
step(Gp) % as confirmed by the step response
% standard-form PID with 1st-order derivative filter
Kp = 0.03; % proportional gain
Ti = 3.6e-6; % integral time
Td = 0.0006; % derivative time
N = 751; % filter divisor
Gc = pidstd(Kp, Ti, Td, N)
Gc =
1 1 s
Kp * (1 + ---- * --- + Td * ------------)
Ti s (Td/N)*s+1
with Kp = 0.03, Ti = 3.6e-06, Td = 0.0006, N = 751
Continuous-time PIDF controller in standard form
margin(Gc*Gp) % Phase margin is improved to approximately 60 deg