Laborator 6 SCPI
num = [1.11 , 1];
den = [1.9, 0.9, 1.7];

s = tf('s')

Hs = tf(num, den)

Hs.InputDelay = 1.5;

T = 0.5;

Hs_discretized = c2d(Hs, T, 'zoh');

Hs_shifted = Hs_discretized * tf(1, [1 0 0 0], T);

[num, den] = tfdata(Hs_shifted, 'v');

Hs_z_minus3 = tf(num, den, T, 'Variable', 'z^-1');

Hs_z_minus3

A = [-1.594, 0.7891]
B = [0.3103, -0.1953]

omega = 0.5026;
theta = 0.75;

num = omega^2;
den = [1, 2 * theta * omega, omega^2];

Hi = tf(num, den);

Hi

Hi_discretized = c2d(Hi, T, 'zoh');
Hi_discretized

P = [-1.634, 0.686]

Matrice = [1 0 0 0 0 0 0 ; -1.594 1 0 0 0 0 0 ; 0.7891 -1.594 1 0 0 0 0 ; 0 0.7891 -1.594 1 0 0 0 ; 0 0 0.7891 -1.594 1 0.303 0 ; 0 0 0 0.7891 -1.594 -0.1953 0.303 ; 0 0 0 0 0.7 0 -0.1953]
P = [1 ; -1.634 ; 0.686 ; 0 ; 0; 0; 0]
syms s1 s2 s3 s4 r0 r1
coloana = [1; s1; s2; s3; s4; r0; r1]

solutii = linsolve(Matrice, P);

solutii