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- Describing_function abstract "In control systems theory, the describing function (DF) method, developed by Nikolay Mitrofanovich Krylov and Nikolay Bogoliubov in the 1930s, and extended by Ralph Kochenburger is an approximate procedure for analyzing certain nonlinear control problems. It is based on quasi-linearization, which is the approximation of the non-linear system under investigation by a linear time-invariant (LTI) transfer function that depends on the amplitude of the input waveform. By definition, a transfer function of a true LTI system cannot depend on the amplitude of the input function because an LTI system is linear. Thus, this dependence on amplitude generates a family of linear systems that are combined in an attempt to capture salient features of the non-linear system behavior. The describing function is one of the few widely-applicable methods for designing nonlinear systems, and is very widely used as a standard mathematical tool for analyzing limit cycles in closed-loop controllers, such as industrial process controls, servomechanisms, and electronic oscillators.".
- Describing_function thumbnail Function-block-harmonic-balance.png?width=300.
- Describing_function wikiPageExternalLink Downloadable.
- Describing_function wikiPageExternalLink lecture-15-describing-functions.
- Describing_function wikiPageExternalLink MITRES_6-010S13_chap06.pdf.
- Describing_function wikiPageExternalLink node12.html.
- Describing_function wikiPageExternalLink EEncyc_final.pdf.
- Describing_function wikiPageExternalLink NonLinear2DescFcn.htm.
- Describing_function wikiPageID "3877767".
- Describing_function wikiPageLength "10806".
- Describing_function wikiPageOutDegree "34".
- Describing_function wikiPageRevisionID "638450079".
- Describing_function wikiPageWikiLink Aizermans_conjecture.
- Describing_function wikiPageWikiLink Amplitude.
- Describing_function wikiPageWikiLink Band-pass_filter.
- Describing_function wikiPageWikiLink Bang–bang_control.
- Describing_function wikiPageWikiLink Category:Nonlinear_control.
- Describing_function wikiPageWikiLink Control_system.
- Describing_function wikiPageWikiLink Control_theory.
- Describing_function wikiPageWikiLink Deadband.
- Describing_function wikiPageWikiLink Electronic_oscillator.
- Describing_function wikiPageWikiLink Filter_(signal_processing).
- Describing_function wikiPageWikiLink Hidden_oscillation.
- Describing_function wikiPageWikiLink Higher-order_sinusoidal_input_describing_function.
- Describing_function wikiPageWikiLink Integrator.
- Describing_function wikiPageWikiLink Kalmans_conjecture.
- Describing_function wikiPageWikiLink LTI_system_theory.
- Describing_function wikiPageWikiLink Limit_cycle.
- Describing_function wikiPageWikiLink Linear_system.
- Describing_function wikiPageWikiLink Low-pass_filter.
- Describing_function wikiPageWikiLink MIT_OpenCourseWare.
- Describing_function wikiPageWikiLink Nikolay_Bogolyubov.
- Describing_function wikiPageWikiLink Nikolay_Mitrofanovich_Krylov.
- Describing_function wikiPageWikiLink Nonlinear_control.
- Describing_function wikiPageWikiLink Oscillation.
- Describing_function wikiPageWikiLink Schmitt_trigger.
- Describing_function wikiPageWikiLink Sine_wave.
- Describing_function wikiPageWikiLink Sliding_mode_control.
- Describing_function wikiPageWikiLink Square_wave.
- Describing_function wikiPageWikiLink Transfer_function.
- Describing_function wikiPageWikiLink Triangle_wave.
- Describing_function wikiPageWikiLink File:Function-block-harmonic-balance.png.
- Describing_function wikiPageWikiLinkText "Describing function method".
- Describing_function wikiPageWikiLinkText "Describing function".
- Describing_function wikiPageWikiLinkText "describing function".
- Describing_function wikiPageWikiLinkText "describing functions".
- Describing_function wikiPageUsesTemplate Template:Refbegin.
- Describing_function wikiPageUsesTemplate Template:Refend.
- Describing_function wikiPageUsesTemplate Template:Reflist.
- Describing_function subject Category:Nonlinear_control.
- Describing_function hypernym Procedure.
- Describing_function type AnatomicalStructure.
- Describing_function comment "In control systems theory, the describing function (DF) method, developed by Nikolay Mitrofanovich Krylov and Nikolay Bogoliubov in the 1930s, and extended by Ralph Kochenburger is an approximate procedure for analyzing certain nonlinear control problems. It is based on quasi-linearization, which is the approximation of the non-linear system under investigation by a linear time-invariant (LTI) transfer function that depends on the amplitude of the input waveform.".
- Describing_function label "Describing function".
- Describing_function sameAs Q1925419.
- Describing_function sameAs Methode_der_harmonischen_Balance.
- Describing_function sameAs Funkcja_opisująca.
- Describing_function sameAs m.0b4nl7.
- Describing_function sameAs Q1925419.
- Describing_function wasDerivedFrom Describing_function?oldid=638450079.
- Describing_function depiction Function-block-harmonic-balance.png.
- Describing_function isPrimaryTopicOf Describing_function.
