{"id":21941,"date":"2025-01-03T19:07:22","date_gmt":"2025-01-03T19:07:22","guid":{"rendered":"https:\/\/liquidinstruments.com\/?page_id=21941"},"modified":"2025-05-28T00:36:55","modified_gmt":"2025-05-28T00:36:55","slug":"frequency-domain-control-the-ultimate-guide-to-control-loops","status":"publish","type":"page","link":"https:\/\/liquidinstruments.com\/frequency-domain-control-the-ultimate-guide-to-control-loops\/","title":{"rendered":"Frequency-domain control: The ultimate guide to feedback and control loops"},"content":{"rendered":"<div class=\"wpb-content-wrapper\"><p>[vc_row][vc_column]<div class='page-hero-wrapper'>\r\n        <div class='page-hero-inner'>\r\n          \r\n          <div class='page-hero-body'><h3 class=\"p1-1\" style=\"color: #c3c3c3; font-weight: 400; margin-bottom: 10px;\">Application notes<\/h3>\n<h1 class=\"h1-3\">Frequency-domain control: The ultimate guide to feedback and control loops<\/h1>\n<\/div>\r\n        <\/div>\r\n      <\/div>[\/vc_column][\/vc_row][vc_row css=&#8221;.vc_custom_1586423244933{margin-bottom: 50px !important;}&#8221; el_id=&#8221;scrollto-register&#8221; el_class=&#8221;container&#8221;][vc_column width=&#8221;1\/2&#8243;][vc_single_image image=&#8221;20332&#8243; img_size=&#8221;large&#8221;][vc_column_text]<\/p>\n<h2 class=\"p1 h3-1\"><span class=\"s1\" style=\"font-size: 32px;\">Overview<\/span><\/h2>\n<p>From the excitement of operating a helicopter on another planet to essential everyday applications in power grids and domestic heating, feedback control systems are a necessary and ubiquitous part of modern society. In research and industry, control loops allow one to automate, reduce noise, improve performance, and cope with uncertainty and parameter variation. However, concomitant concerns over complexity and possible instability must also be addressed.<\/p>\n<p>In this application note, we present a short introduction to feedback control as encountered in the frequency domain. Our goal is to provide a practical reference which will assist the reader in designing and debugging their first loops.<\/p>\n<h3 class=\"p1 p2-1\"><span class=\"s1\"><b>Application note details<\/b><\/span><\/h3>\n<ul class=\"ul1\">\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Title: Frequency-domain control: The ultimate guide to feedback and control loops<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Date published: January 2, 2025<\/span><\/li>\n<\/ul>\n<p>[\/vc_column_text][\/vc_column][vc_column width=&#8221;1\/2&#8243;]<div data-hubspot-form=\"true\" class=\"hubspot-form hs-form-html\" data-hubspot-form-id=\"1ba1efdc-a037-43cf-b535-73d5726cf056\" data-hubspot-form-id-zh=\"a05bc912-3b36-4e51-9ae0-d4ae18836b09\" data-hubspot-form-id-ja=\"\" data-hubspot-form-id-ko=\"\"><\/div>[\/vc_column][\/vc_row][vc_row][vc_column][vc_empty_space][\/vc_column][\/vc_row]<\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>[vc_row][vc_column][\/vc_column][\/vc_row][vc_row css=&#8221;.vc_custom_1586423244933{margin-bottom: 50px !important;}&#8221; el_id=&#8221;scrollto-register&#8221; el_class=&#8221;container&#8221;][vc_column width=&#8221;1\/2&#8243;][vc_single_image image=&#8221;20332&#8243; img_size=&#8221;large&#8221;][vc_column_text] Overview From the excitement of operating a helicopter on another planet to essential everyday applications in power grids and domestic heating, feedback control systems are a necessary and ubiquitous part of modern society. In research and industry, control loops allow one to automate, reduce noise, improve [&hellip;]<\/p>\n","protected":false},"author":40,"featured_media":20332,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"content-type":"","footnotes":""},"class_list":["post-21941","page","type-page","status-publish","has-post-thumbnail","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.0 (Yoast SEO v27.0) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Frequency-domain control: The ultimate guide to control loops<\/title>\n<meta name=\"description\" content=\"Tips and strategies for performing photon counting, including analyzing resulting histograms and the second-order correlation function.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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