Issues with Step Test and an Alternate Approach

SBHS is an example of a heater. Suppose you are working in a full scale plant. Current control system designed to control one of the heaters of the plant is lousy and your supervisor asks you to design a new controller from scratch. The first step you need to do is identification of the heater transfer function. The catch is, the plant is currently operational. You can't shut the plant down to identify the heater transfer function. You have to do it while the heater is operating in the plant. You might think of giving the heater a positive step and measuring the response in the controlled temperature. This will increase the temperature of the component being heated for the period of time step is applied. However, if the process is sensitive to temperature of the component (distillation, for example), it will go off the desired course and the output of the whole plant will be affected and will be undesirable.

There is an alternate approach which is widely used in industry. The input given to the heater for identification is not step, but a pseudo-random binary sequence (PRBS). The concept behind PRBS is that the input is perturbed in such a way that the time average of the input is the value at which it is being operated currently. Thus, some positive and some negative steps can be given. This results in some positive and some negative changes in the temperature which leads to the time average of the performance of the plant remaining the same. Thus, PRBS testing can be done in a working plant without affecting the plant performance unlike step testing. A typical PRBS and corresponding plant output is shown in figure 7.2

Figure 7.2: PRBS testing input and output [Image source: CL 686 Advanced Process Control, Spring 2013-14 lecture slides. Prof. S. C. Patwardhan, IIT Bombay]
Image PRBS

rokade 2017-04-23