Classical control theory: Difference between revisions

Revision as of 22:32, 31 January 2020

Revision as of 12:54, 12 June 2020

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The usual objective of control theory is to control a system, often called the ''[[Plant (control theory)|plant]]'', so its output follows a desired control signal, called the ''[[reference]]'', which may be a fixed or changing value. To do this a ''[[Controller (control theory)|controller]]'' is designed, which monitors the output and compares it with the reference. The difference between actual and desired output, called the ''error'' signal, is applied as [[feedback]] to the input of the system, to bring the actual output closer to the reference.

Classical control theory deals with [[linear time-invariant system|linear time-invariant]] [[single-input single-output]] systems.<ref>{{cite book|last1=Zhong|first1=Wan-Xie|title=Duality System in Applied Mechanics and Optimal Control|url=https://archive.org/details/dualitysystemapp00zhon_389|url-access=limited|date=2004|publisher=Kluwer|isbn=978-1-4020-7880-4|page=[https://archive.org/details/dualitysystemapp00zhon_389/page/n295 283]|quote=The classical controller design methodology is iterative, and is effective for single-input, single-output linear time-invariant system analysis and design.}}</ref> The Laplace transform of the input and output signal of such systems can be calculated. The [[transfer function]] relates the Laplace transform of the input and the output.

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