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Procedure

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 $P_P,$ $P_I,$ and $P_D.$ 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.


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Download pidcontrol.pdf

``PID Control of a Plucked String'', by Edgar Berdahl, and Julius O. Smith III,
REALSIMPLE Project — work supported by the Wallenberg Global Learning Network .
Released 2007-04-09 under the Creative Commons License (Attribution 2.5), by Edgar Berdahl, and Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
CCRMA