Consider the hardware depicted in Fig. P4.4-2. The transfer function of the digital controller implemented in the computer is given by

D(2) = 4.5(z - 0.90) z - 0.85 The input voltage rating of the analog-to-digital converter is +10 V and the output voltage rating of the digital-to-analog converter is also +10 V. Voltage 10 V in AID Digital computer D(z) 10 V DIA Voltage out Fig. P4.4-2 (a) Calculate the dc gain of the controller. (b) State exactly how you would verify, using the hardware, the value calculated in part (a). Give the equipment required, the required settings on the equipment, and the expected measurements.