Problems and Exercises

Previous: Controller Circuit.

Look at the hints to accompany these problems after you have had an initial try at solving them.

1. Sketch Bode diagrams showing the frequency response of (i) a PID controller, and (ii) the above oven model. Now show how they can be combined to give the open-loop response of the oven-controller system. Compare your answer with one drawn by the simulator. [Hint]
2. Plot a graph of overshoot vs. phase margin for a second-order system with feedback by simulating an oven controlled by a proportional controller with no sensor lag for various levels of proportional gain. [Hint]