I was holding off responding to this in case Peter Nachtwey was going to reply. He is infinitely more qualified to answer this than I am as are others on this forum. But since no one else jumped in I'll give this a shot.
You asked in your posted PDF 'why a sample time if this is a continuous function?'. Well, in reality, it isn't a continuous function. Anything that runs on a digital processor is subject to sample time. What Siemens has done for you in FB41 is allow you to enter values consistent with a continuous controller. Internal to FB41 the values are 'modified' to operate in a discrete implementation. FB41 needs to know the time between calls since it can be called from anywhere. For processes with a short system time constant (under 1 second) FB41 can be called from OB35, the timed interrupt. This provides the consistent time spacing needed to allow FB41 to operate correctly. For longer time constant systems you may be able to call FB41 based on a cyclic timer. In either case you need to enter the time between FB41 calls as a parameter.
I THINK that the values you calculated for Ti and Td can be entered directly as reset time and derivative time respectively. However, with the times you calculated you will need to run FB41 pretty quickly, which means calling it out of OB35. The sample time would be the call period of OB35.
It looks like you assigned symbols to some of the values you will need, like the reference and feedback. You need to explicitly save the contents of the symbol editor before you will have access to any of the symbols. You may have already come across that one.
I'm still a little confused as to why you are using FB41. You have developed enough of your system that you could write your own PID filter in a general FB. then you wouldn't need to learn the application of FB41. You write your own filter and use it as you require. I guess I'm just not sure what your ultimate goal is. Do you want to understand how a discrete time controller is constructed and operates or do you want to find out how FB41 works? To a large degree these are two different things.
Keith