Use MATLAB to generate the figures of responses and to design the controllers. Given an armature-controlled DC motor has the following transfer function G(s) K (s + 10)(s + 1) 1. Find the Z-transform of the system 2. Plot the step response of the continuous and discrete-time systems 3. Draw the root locus of the system 4. Analyze the stability of the open-loop 5. Design the gain K so the system has an overshoot