Control theory

Centrifugal governor of a Watt steam engine, of 1788.

Control theory is an interdisciplinary branch of engineering and mathematics. It deals with the behavior of systems. The desired output of a system is called the reference. In that context, a system can be influenced by certain input values. Depending on the input values, the system may change its state or its behavior. Common questions control theory asks:

  • Is a system in a stable state?
  • How sensitive is the system to changed of input parameters?
  • Are all variables within a given range?
  • Is it possible to reach a predefined target state?
  • If the target state can be reached, what must the input variables be set to, so that the target state is reached?

One of the first modern people to talk about control theory was James Clerk Maxwell. In his work On Governors, of 1868, he looked at the dynamic properties of centrifugal governors, as they were used by steam engines.[1] Such governors were already used to regulate the speed of windmills.

  1. Maxwell, James Clerk (1868-01-01). "I. On governors". Proceedings of the Royal Society of London. 16: 270–283. doi:10.1098/rspl.1867.0055. S2CID 51751195.

Control theory

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