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problem 1: Consider a heat-exchanger control loop with no dead time. It is controlled by a PD controller. The rate time is 0.25 min. A real PD controller is used with filtering where α = 0.1.

177_heat exchanger.jpg

The heat exchanger control loop has the following transfer function (time constants in seconds)

532_heat exchanger control loop.jpg

Determine the maximum gain of the system Kcu. What are the corresponding GM & PM if we set Kc = Kcu/1.7.

problem 2: Consider the previous heat exchanger. Tune a proportional controller for

a) GM = 2; PM = 45 degrees and

b) MPH (maximum peak height) occurs at 2 dB (provides a ς of ~ 0.4).

problem 3: Consider the following transfer functions. Neatly sketch their Bode plots and compare with the Matlab figures.

1108_bode plots.jpg

problem 4: Consider the cascade loop as shown below:

1884_cascade loop.jpg

i) Specify the inner-loop gain such that the damping coefficient of the closed loop is equal to 0.4

ii) Derive the ultimate primary controller gain.

iii) Deduce the ultimate gain for the system configured as a conventional loop.

790_conventional loop.jpg

Chemical Engineering, Engineering

  • Category:- Chemical Engineering
  • Reference No.:- M91848

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