Try this —
A = [-3 -1.5; 5 0];
B = [1; 0];
C = [0.5 1.5];
D = 0;
sys = ss(A,B,C,D);
t = linspace(0, 10, 1500); % Time Vector
u = sum(sin((1:29)'*2*pi*t/2.5)); % Arbitrary Input
figure
lsim(sys,u,t)
grid on
un = u + randn(size(u))*1.5; % Add Gaussian Noise (Standard Deviation = 1.5)
figure
lsim(sys,un,t)
grid on
Use any initial input ‘u’ vector appropriate to the model.
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