HOMEWORK_7 - HOMEWORK 7 Question 1 A block diagram of a...

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HOMEWORK 7 Question 1 A block diagram of a closed-loop system is shown in the Figure below. (a) Derive a closed-loop transfer function for disturbance changes Y(s)/D(s). (b) For the following transfer functions, what values of Kc will result in a stable closed-loop system? Question 2 A process is described by the transfer function: Find the range of controller settings that yield stable closed-loop systems for: (a) A proportional-only controller. (b) A proportional-integral controller. (c) What can you say about the effect of adding the integral mode on the stability of the controlled system? That is, does it tend to stabilize or destabilize the system relative to proportional-only control? Justify your answer.
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Question 3 The block diagram of a feedback control system is shown in the Figure below. Determine the values of Kc that result in a stable closed-loop system. Question 4 A standard feedback control loop contains the following transfer functions:
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Unformatted text preview: (a) Show that can be approximated by an FOPTD model and determine what that model is equal to. (b) Use the Routh stability methods for your FOPTD model to find the range of Kc values that will yield a stable closed-loop system. (c) Determine the Kcm using the direct substitution method. Question 5 For the standard feedback control loop you have: Determine whether the value of a affects the stability of the closed-loop system. Assume Kc>0. You do not need to solve for the roots of the characteristic equation to answer the question. Question 6 The set-point of the control system under proportional control (Kc=2.0) undergoes a step change of magnitude 2. For (a) Determine when the maximum value of y occurs. (b) Determine the offset. (c) Draw a sketch of y(t) as a function of time. (d) If this is a standard feedback control loop, determine the range of values of Kc for which the loop will be stable using Routh array....
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  • Fall '10
  • Unknown
  • Kc, feedback control loop, standard feedback control

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