study the effect of various gains of pid controller on the time domain performance of second order system sources in matlab

main.m
% Define the second-order system
wn = 5;  % natural frequency
zeta = 0.7;  % damping ratio
sys = tf(wn^2, [1, 2*zeta*wn, wn^2]);

% Define PID controller with varying gains
Kp_values = [0.1, 0.5, 1, 2];
Ki_values = [0.01, 0.05, 0.1, 0.5];
Kd_values = [0.01, 0.05, 0.1, 0.2];

% Loop through different PID gains
for i = 1:length(Kp_values)
    for j = 1:length(Ki_values)
        for k = 1:length(Kd_values)
            Kp = Kp_values(i);
            Ki = Ki_values(j);
            Kd = Kd_values(k);
            C = pid(Kp, Ki, Kd);
            sys_cl = feedback(C * sys, 1);
            
            % Simulate the response to a step input
            t = 0:0.01:5;
            step(sys_cl, t);
            title(['PID Gains: Kp=', num2str(Kp), ' Ki=', num2str(Ki), ' Kd=', num2str(Kd)]);
            pause;
        end
    end
end
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