Question

! Required information Use MATLAB to create a state-variable model and obtain the expressions for the matrices A, B, C, and D. Choose the correct transfer functions of the following models for the given inputs and outputs. -621 + 7x2 2 = 21 - 5x2 + bu The outputs are xy and x2; the input is u.

Answer 1

The ean in matrix form [6] - 16 7 1 + [2] u 6 output y is in terms of 7483 u y=C6 ? Jac +[] Now, ć=AxtBu y = cхt Du A= 5 6 7 -5 B = [o c=159] D=1: Now, using MATLAB

MATLAB Code:

A=[-6,7;1,-5];
B=[0;6];
C=[1,0;0,1];
D=[0;0];
sys=ss(A,B,C,D);
systf=tf(sys)

X Current Folder Editor - C:\Users\SANTOSH\Documents\MATLAB\trf_fun.m tst.m x tif_fun.mx + A=(-6,7;1,-5); B=[0;6]; C=[1,0;0,1); D=[0:0]; sys=3s (A,B,C,D); systf=tf(sys) 3 - - 4 5 6 Command Window systf = From input to output... 42 1: 3^2 + 1l s + 23 6 3 + 36 2: 3^2 + 1l s + 23 Continuous-time transfer function. script

So answer will be First option.

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