Applied Process Control

4Problems – Basic Elements Used in Plant Control Schemes

P_4.1 4.1

1. Construct a random sequence generator by feeding a random variable r from a ‘top-hat’ distribution through a single-exponential filter:
   

   This gives a type of Markov process where there is a degree of correlation between subsequent points in time, like a plant measurement signal. Add an offset step at 1/3 of time, and add a random (uncorrelated) spikiness in the last 1/3 of time.

2. Feed the signal from (a) through a low-pass filter in order to separate the high and low frequency portions of the original signal. Plot these two components of the signal.
3. Construct a filter as ...