Question: Can you show all steps on MATLAB Construct the following simulation block diagram 1 . Set ( boldsymbol { k } =

Can you show all steps on MATLAB
Construct the following simulation block diagram
1. Set \(\boldsymbol{k}=\mathbf{0.5}\) and plot the unit step response of the system
a. Do the settling time and DC gain you find from the graph match the theoretical values? Please justify your answer.
b. Is the system under-damped, critically damped, or over-damped? Why?
2. Set \(\boldsymbol{k}=\boldsymbol{1}\) and plot the unit step response of the system
a. Do the settling time and DC gain you find from the graph match the theoretical values? Please justify your answer.
b. Is the system under-damped, critically damped, or over-damped? Why?
3. Set \(\boldsymbol{k}=\mathbf{2}\), and plot the unit step response of the system. Do the DC gain, overshoot, peak time, and settling time you find from the graph match the theoretical values? Please justify your answer.
4. Set \(\boldsymbol{k}=\mathbf{20}\), and plot the unit step response of the system. Do the DC gain, overshoot, peak time, and settling time you find from the graph match the theoretical values? Please justify your answer.
5. Set \(\boldsymbol{k}=\mathbf{200}\), and plot the unit step response of the system. Do the DC gain, overshoot, peak time, and settling time you find from the graph match the theoretical values? Please justify your answer.
6. Based on your plots above, answer the following questions
a. Is the DC gain changed with the different gain \(\boldsymbol{k}\)?
b. Is the overshoot changed with the different gain \(\boldsymbol{k}\)?
c. Is the peak time changed with the different gain \(\boldsymbol{k}\)?
d. Is the settling time changed with the different gain \(\boldsymbol{k}\)?
e. Is the steady-state value of the output \( y \) changed with the different gain \(\boldsymbol{k}\)?
Please use the theoretical analysis to justify your observations.
Can you show all steps on MATLAB Construct the

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