Given the error of Figure, plot a graph of a proportional-integral controller output as a function of time. Let KP =4.7, KI = 3.1 3-1, and p(0) = 12 %, given ep(%) = 5.7 %

A temperature control system operates by sensing the difference between the thermostat setting and the actual temperature and then opening a fuel valve an amount proportional to this difference. Draw a functional closed-loop block diagram identifying the input and output transducers, the controller, and the plant. Further, identify the input and output signals of all subsystems previously described.

A quadrature incremental encoder is used to measure the speed and angular position of a servo motor in a process control system. Using the X4 decoding method, it is measured that the speed is 2 RPM and the number of pulses counted as 6000 per minute. What is the PPR value of the encoder?

(a) Explain what PID control is. Describe how the coefficients of a PID controller will affect the system performance in terms of stability, transient response and steady-state error.