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is measured at the output. The output signal can be calculated from the closed-loop transfer function and the input signal. Signals may be
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An example of a closed-loop block diagram, from which a transfer function may be computed, is shown below:
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Move all the terms with Y(s) to the left hand side, and keep the term with X(s) on the right hand side:
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96:) blocks can all be combined into one block, which would have the following transfer function:
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865:{\displaystyle \Rightarrow {\dfrac {Y(s)}{X(s)}}={\dfrac {G(s)}{1+G(s)H(s)}}}
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Control theory § Open-loop and closed-loop (feedback) control
198:{\displaystyle {\dfrac {Y(s)}{X(s)}}={\dfrac {G(s)}{1+G(s)H(s)}}}
469:
Now, plug the second equation into the first to eliminate Z(s):
16:
Function describing the effects of feedback on a control system
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326:We define an intermediate signal Z (also known as
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31:describing the net result of the effects of a
655:{\displaystyle Y(s)+G(s)H(s)Y(s)=G(s)X(s)}
753:{\displaystyle Y(s)(1+G(s)H(s))=G(s)X(s)}
936:
273:transfer function, and their product
13:
459:{\displaystyle Z(s)=X(s)-H(s)Y(s)}
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909: This article incorporates
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385:{\displaystyle Y(s)=G(s)Z(s)}
321:
25:closed-loop transfer function
333:Using this figure we write:
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316:open-loop transfer function
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10:
965:
554:{\displaystyle Y(s)=G(s)}
80:The summing node and the
944:Classical control theory
307:{\displaystyle G(s)H(s)}
917:Federal Standard 1037C
911:public domain material
882:Federal Standard 1037C
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33:feedback control loop
29:mathematical function
887:Open-loop controller
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330:) shown as follows:
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262:{\displaystyle H(s)}
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229:{\displaystyle G(s)}
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63:, or other types of
240:transfer function,
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53:transfer function
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924:. Archived from
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51:The closed-loop
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21:control theory
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35:on the input
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926:the original
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328:error signal
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238:feed forward
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65:data streams
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18:
949:Cybernetics
665:Therefore,
938:Categories
898:References
322:Derivation
771:⇒
522:−
430:−
57:waveforms
876:See also
271:feedback
47:Overview
39:to the
88:) and
61:images
37:signal
913:from
41:plant
27:is a
23:, a
19:In
940::
920:.
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850:(
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841:s
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821:s
818:(
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808:=
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795:(
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784:s
781:(
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745:s
742:(
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736:)
733:s
730:(
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724:=
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718:)
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712:(
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703:s
700:(
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694:+
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688:(
685:)
682:s
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647:s
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635:s
632:(
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626:=
623:)
620:s
617:(
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608:s
605:(
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596:s
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587:+
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578:(
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540:(
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531:s
528:(
525:H
519:)
516:s
513:(
510:X
507:[
504:)
501:s
498:(
495:G
492:=
489:)
486:s
483:(
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451:s
448:(
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436:(
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427:)
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415:=
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409:s
406:(
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365:s
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356:=
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151:(
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131:s
128:(
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120:)
117:s
114:(
111:Y
94:s
92:(
90:H
86:s
84:(
82:G
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