Question

System Description A video camera system, similar to that shown in figure below, can automatically follow a subject. The tracking system consists of a dual-sensor and a transmitter, where one component is mounted on the camera and the other is worn by the subject. The sensors receive energy from the transmitter. An imbalance between the outputs of the two sens system to rotate the camera to balance out the difference and seek the source of energy. The angular movement of the camera e(t) for focusing the object can be mathematically shown by the differential equation given below: nsors receiving energy causes the d20(t) de(t) K (all initial conditions are +10 Ke dt zero) dt2 From the above, it can be seen that the angular position of the camera movement 0(t) is dependent on the value of K. We would like to study the camera movement by varying the value of K. Use Laplace transform, inverse Laplace transform, and MATLAB to plot the transient response of the position of camera movement for various values of K. Plot all the responses in the same graph So that we can find the best value of K. 21. Use Laplace transform to find the expression for 0(s).Include your final result here: 22. Plot by MATLAB the transient responses (t) for the following values of K. K 10, 26, 50, 100, 200 Hints: Define a vector called KV for all the above K values. Then use a for loop in MATLAB to plot the time response for each one of them in the same plot. Use "hold on" and "hold off" commands to do that. Use the axis command to choose the appropriate axes spans. Also, label the axes appropriately and give a title. Write the whole program in one M File. Attach copy of your m.file in to your lab. a

Answer 1

`Hey,

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clear, clc
KV=[10,26,40,100,200];
syms s t
for i=1:length(KV)
K=KV(i);
fprintf('For K=%d, th(s)=\n',K);
K/(s^2+10*s+K)
f=matlabFunction(ilaplace(K/(s^2+10*s+K),s,t));
fplot(f,[0,3]);
hold on;
end
hold off;
legend('K=10','K=26','K=50','K=100','K=200')

Figure 1 File Edit View Insert Tools Desktop Window Help K#10 К-26 K-50 K=100 K-200 3 1 5 0 0.5 2.5 3:20 AM ENG O Type here to search 40 ОБ/09/19

Kindly revert for any queries

Thanks.