Cyber Security Club of Visvesvaraya National Institute of  Technology , Nagpur

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clear; close all; clc

z = [0, -2+3j, -2-3j];
p = [-1, -4+5j, -4-5j, -5];
K = 1;

G = zpk(z, p, K);    % zero-pole-gain model
Gtf = tf(G);         % transfer function form

figure; pzmap(Gtf); title('Pole-Zero Map'); grid on
figure; step(Gtf);   title('Open-loop Step'); grid on
figure; rlocus(Gtf); title('Root Locus'); grid on
figure; margin(Gtf); title('Bode & Margins'); grid on

T = feedback(2*Gtf, 1);
figure; step(T); title('Closed-loop Step (K=2)'); grid on

disp('Zeros:'); disp(zero(Gtf))
disp('Poles:'); disp(pole(Gtf))
[GM, PM, Wcg, Wcp] = margin(Gtf);
fprintf('Gain margin = %g, Phase margin = %g deg\n', GM, PM);

Matlab

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Cyber Security Club of Visvesvaraya National Institute of Technology , Nagpur

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