Important note: For the questions that Matlab is needed, you need to report both the output (i.e., results) of the Matlab and the scripts that you wrote to address the questions.

Question 2 (20 points) Let's consider the following 2" order dynamic systems. Compute the damping ratio (), the natural frequency (w,), the settling time (T5), the peak time (T},), the rise time (T}.), and the percent overshoot (% 0OS). Using Matlab, plot the step response for each of the dynamic system. Estimate the step-response characteristics (i.e., rise time, peak time, settling time, and overshoot) using the Matlab function stepinfo. Report any discrepancies between your predictions (i.e., the ones that you calculated in the first part of the exercise) and the Matlab outputs. 16 Tsy= s2+4+3s+ 16 *For the Matlab part of the exercise, you will need the following functions: tf: Construct transfer function or convert to transfer function. step: Step response of dynamic systems stepinfo: Computes step response characteristics. Look into Matlal help for more details on how to use these functions