Please do the matlab part

2. Consider the digital control of a DC motor, modeled by 10 G(S) = s(s + 1) The sampling period is T = 0.01 sec. Using the root locus method in the z-plane, design a digital compensator such that the step response has 20% overshoot and 0.4 sec settling time. The design calculations should be done without MATLAB, but use MATLAB to verify that the design specifications are achieved. Include MATLAB results. 2. Consider the digital control of a DC motor, modeled by 10 G(S) = s(s + 1) The sampling period is T = 0.01 sec. Using the root locus method in the z-plane, design a digital compensator such that the step response has 20% overshoot and 0.4 sec settling time. The design calculations should be done without MATLAB, but use MATLAB to verify that the design specifications are achieved. Include MATLAB results