a. Consider the unity feedback system shown in the Figure with the CLTF as G_{C L}(s)=\frac{(2 s+200)}{(s+0.5)\left(s^{2}+2 s+2\right)} Find: response of the system for the input (save under the file name P3a.m) u(t)=\frac{\sin (2 t)}{t+1} b. Use MATLAB to reduce the model to a second order system. Then the new transfer function is (Save under the file name P3b) c. Compare both systems: the original and the reduced in terms of impulse function (Save under the file name P3c)