You will now carry out some simple experiments in pd . This will eliminate
the need for specialized laboratory equipment and make it possible to ask some
``What if?'' questions. The simple
mass-spring-damper model used in the previous sections was sufficient for
understanding the roles of the PID controller coefficients
and
It turns
out that the PID controller also works in a similar way when applied to a real vibrating
string. In the following sections, we use a much more detailed digital
waveguide vibrating string model, which is from the field of
digital waveguide synthesis [3]. The model more accurately captures
the physical behavior of a vibrating string, and so it also produces much more
realistic simulated string sounds.