The below circuit has an output 10 times the difference

Question

1) The below circuit has an output 10 times the difference between the 2 input signals. Show how this could be realised using 2 Operational Amplifiers and 5 Resistors, and provide values of the resistors

2) For a Proportional plus Derivative Controller, construct the shape of the output waveform for the triangular waveform shown, if the input rises and falls at the rate of 4 units per minute, where Proportional Band is 20% and the Derivative Action time is 0.1 Minutes

3.

a) For the above graph where the Proportional Only Gain was 4, calculate the required settings of a PID Controller using the Quarter Amplitude Response Method

b) If for the above the Proportional Only Gain was 6 estimate the settings of a PID Controller using the Ultimate Cycle Method

Answer 1

Consider the circuit diagram illustrated in the assignment and on the basis of the information provided, solve and provide solutions for each part. Q1. The below circuit consists of an output 10 times the difference between the 2 input signals. Illustrate how this could be realized by employing 2 Operational Amplifiers and 5 Resistors and give values of the resistors. Q2. For a Proportional plus Derivative Controller, prepare the shape of the output waveform for the triangular waveform illustrated, if the input increases and drops at the rate of 4 units per minute, in which Proportional Band is 20% and the Derivative Action time is 0.1 Minutes Q3. a) For the graph illustrated above in which the Proportional Only Gain was 4, compute the required settings of a PID Controller employing the Quarter Amplitude Response Method. b) If for the above the Proportional Only Gain was 6 estimate the settings of the PID Controller employing the Ultimate Cycle Method.