Final Year Project (Week 13)

Week 13

Design of PDF 

Due to the difference between PI control and PDF control, the design will not similar as what I learned before. In specific, the calculation of Kp and Ki could be explained as the notes shown below:

However, for the house model, the system time constant is very large and the closed loop transfer equation could be approximated to a more specific form. At the same time, the damping ratio could be presented, which is required to equal 1 for critical damping situation.

The theory that present above is based on a linear system. As for the 4th order heating system, the design method of PDF will be different, which is also a more general method. Hence, the value of "g" will be chosen as (1/3*tau), which means the controller time constant and is tightly relate to the SAP Responsivity. The next task is to find out the "CB", followed by designing a dynamic PDF controller for the heating system. It will be a great challenge.