Find the dynamic response of a first order lag system with time constant $=0\mathrm{.}4$min and static gain $K=16$ to

a$)$ Input change linearly with time $x(t)=4t+4$ and

b$)$ Determine the behavior of the output after lag time $($i$.$e$.$ when they are in steady state$)$ for all changes above.

c$)$ Draw the response curve for a$)$ and b$)$ above $(1+1+2)$

A process of unknown transfer function is subjected to a unit impulse input. The output of the process is measured accurately and is found to be represented by the function $Y(t)=M{e}^{-Nt}.$ Determine the unit step response in this process.

Submit a report on "Recent Advancement in Control System" using online and offline resources. Focus should be given on all hardware components.

$M$ is the last digit and $N$ is the last but one digit of your seat no$.$ Any values come zero take it as $1.$