Consider the system from your project and develop a model that accounts for your

manipulated input and output variables. Please answer the questions in the context of your

system.

a$.(5$ points$)$ What is the open loop DC gain and time constant or natural frequency of the

system based on the input and output variables?

b$.(5$ points$)$ Find the final and initial steady state values of the output to the step input signal

such as $($u$($t$)=2*1($t$))$ or step changes by double compared to the initial steady state

input value.

c$.(5$ points$)$ Calculate the rise time $($t$\_($r$))$ for the response to rise from $10\%$ to $90\%$t$\_($s$)$