Classical control theory: Difference between revisions

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{{Multiple issues|{{more citations needed|date=May 2016}}{{expert needed|1=Engineering|date=May 2016|reason=Need more sources and attention of experts in field for information verification.}}{{one source|date=May 2016}}}}

'''Classical control theory''' is taa branch of [[control theory]] that deals with the behavior of [[dynamical system]]s with inputs, and how their behavior is modified by [[feedback]], using the [[Laplace transform]] as a basic tool tottto model such systems.t

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.

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and get <math>H(s)=1</math> identically.

For practical PID controllers, a pure differentiator is neither physically realisable nor desirable<ref>Ang, K.H., Chong, G.C.Y., and Li, Y. (2005). [httphttps://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1453566 PID control system analysis, design, and technology, ''IEEE Trans Control Systems Tech'', 13(4), pp.559-576].</ref> due to amplification of noise and resonant modes in the system. Therefore, a phase-lead compensator type approach is used instead, or a differentiator with low-pass roll-off.

==Tools==