ELE3CTS Control Systems : Pole Zero Diagram

ELE3CTS Control Systems : Pole Zero Diagram

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ELE3CTS Control Systems

Questions:

Section A. One Minute Questions

Answer all questions from Section A. Each question contributes one (1) mark for a total section contribution of ten (10) marks.

  1. Sketch the pole-zero diagram for the following transfer function. Ensure you label the axes and the pole-zero locations. Assume a > b > 0.

  1. If the time constant of the lowest frequency pole in a system is 1 second, after approx imately what period of time following turn-on could the system be considered to be in steady-state conditions?
  1. The PID controller is a common controller in process control applications. What is the P, the I and the D and what do they each do?
  1. Closed loop gain moves the poles. What factors external to the s-plane impact on this movement?
  1. Given a system with three poles: s = −2 + j4, s = −2 − j4 and s = −10. Based on just the pole locations (you do not have to derive the time response mathematically), sketch the time response to a unit step input, clearly showing whether the response is under-damped, critically damped or over-damped and state your reasoning.
  1. State the well-known form for the transfer function for a feedback control system with forward path G(s) and feedback path H(s). From this identify the sources of poles and zeroes.
  1. A controller and process has the following transfer function

What is the DC (steady-state) gain?

  1. How does a PLC differ from a PID controller?
  1. Explain the term integrator windup in the context of a PID controller.
  1. What are residues in the context of inverse Laplace Transforms and how do they contribute to the time response?

Section B

Answer only five (5) questions from Section B. Each question contributes ten (10) marks for a total section contribution of fifty (50) marks.

  1. For the block diagram shown below:

(a) State the meanings of the three signals R(s), E(s) and C(s)

(b) Explain the two blocks G(s) and H(s)

(c) Derive (show your working, do not just state) the closed-loop transfer function from R(s) to C(s)

ELE3CTS Control Systems

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