Question

Full working and explanations for the steps required would be greatly appreciated. Thank-you very much! Will rate!

Q2. PID: Possibly Insufficient Design 120 points] The PID control architecture might be popular, but that does not mean it can be used for everything. This question explores when the PID controller is (in)sufficient: when it is too much, when it is "goldilocks", and when it is not enough. Consider a plant given by P (s) . As n increases, so does the order of the system. Let's consider three orders and how PID controller design works for them (or does not). (a) First Order (a 1,n 1): It has been said that PI control is adequate for processes where the dynamics is (essentially) first order. Please explain why this is the case. (b) Simple Second Order (a = 0 ,n = 2): It has been said that a double integrator can not be controlled by a PI controller. (1) Please explain why this is the case. (2) Also, could a PID controller be Possible Hint: For part (1), if it helps, think about what might happen if a -1,n 2]. sufficient for servoregulation in this case? (c) Third Order (a1,n-3): It has been said that when a process is more than second order, that a PID might be workable, but insufficient. Please explain why this might be the case. (d) Delay-Dominated First Order: Control of systems with large time delays can be difficult.Consider a variation on P with large delay (TD, TD a): (s) It is has been said that for such systems that adding derivative action does not help much. Please explain why this might be the case.

Answer 1

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