obtain the unit step response for the given system in matlab

To obtain the unit step response for a given system in MATLAB, you can use the step function from the Control Systems Toolbox. Here's how you can do it:

  1. Define the transfer function or state-space representation of your system.
  2. Use the step function to compute the unit step response.

Here's an example of how to do it with a transfer function:

main.m
% Define the transfer function of the system
num = [1];   % numerator coefficients
den = [1, 2, 1];   % denominator coefficients

% Create the transfer function object
sys = tf(num, den);

% Compute the unit step response
t = 0:0.1:10;   % time vector
[y, t] = step(sys, t);

% Plot the unit step response
plot(t, y);
xlabel('Time');
ylabel('Amplitude');
title('Unit Step Response');
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If you have a state-space representation of your system, you can use the step function in a similar way, just pass the state-space object instead of the transfer function object.

main.m
% Define the A, B, C, D matrices of the state-space system
A = [0 1; -2 -3];
B = [0; 1];
C = [1 0];
D = 0;

% Create the state-space object
sys = ss(A, B, C, D);

% Compute the unit step response
t = 0:0.1:10;   % time vector
[y, t] = step(sys, t);

% Plot the unit step response
plot(t, y);
xlabel('Time');
ylabel('Amplitude');
title('Unit Step Response');
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Make sure you have the Control Systems Toolbox installed to use the tf, ss, and step functions.

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