A system with a suitable controller is used in a control system. Its block diagram is drawn in the figure below. For that system, write a matlab program and include in the program the following: a. The system transfer function. b. The controller transfer function. c. Figures to plot Bode diagram of the return ratio (T), Nyquist diagram of the return ratio (T), and the closed loop step-response. U₁ 0.075 s + 0.0032 s+0.426 0.14(s +25) s²(s²+2s+4) U₂