{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/linear-adrc-is-equivalent-to-pid-with-set","title":"Linear ADRC is equivalent to PID with set-point weighting and measurement filter","arxiv_id":"2501.11374","date":"2025-01-20","proceeding":null,"authors":["Fredrik Bagge Carlson"],"abstract":"We show that linear Active Disturbance-Rejection Control (ADRC) tuned using the \"bandwidth method\" is equivalent to PI(D) control with set-point weighting and a lowpass filter on the measurement signal. We also provide simple expressions that make it possible to implement linear ADRC for first and second-order systems using commonplace two degree-of-freedom PID implementations. The expressions are equivalent to ADRC in the response from measurements, and a slight approximation in the response from references.","url_abs":"https://arxiv.org/abs/2501.11374v1","url_pdf":"https://arxiv.org/pdf/2501.11374v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"linear-adrc-is-equivalent-to-pid-with-set","repo_url":"https://github.com/baggepinnen/activedisturbancerejectioncontrol.jl","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}