{"id":17424,"date":"2022-06-13T16:31:32","date_gmt":"2022-06-13T09:31:32","guid":{"rendered":"https:\/\/metmar.net\/?p=17424"},"modified":"2022-06-13T16:31:38","modified_gmt":"2022-06-13T09:31:38","slug":"a-new-fuzzy-pid-control-system-based-on-fuzzy-pid-controller-and-fuzzy-control-process","status":"publish","type":"post","link":"https:\/\/metmar.net\/a-new-fuzzy-pid-control-system-based-on-fuzzy-pid-controller-and-fuzzy-control-process\/","title":{"rendered":"A New Fuzzy PID Control System Based on Fuzzy PID Controller and Fuzzy Control Process"},"content":{"rendered":"<p><span style=\"color: #339966;\"><strong>Authors:<\/strong><\/span><span style=\"color: #3366ff;\"> Nguyen Dinh Phu1 \u2022 Nguyen Nhut Hung1 \u2022 Ali Ahmadian2 \u2022 Norazak Senu3<\/span><\/p>\n<p><span style=\"color: #339966;\"><strong>Affiliations:<\/strong><\/span><\/p>\n<p><span style=\"color: #3366ff;\"><sup>[<\/sup><sup>1<\/sup><sup>]<\/sup> Faculty of Engineering Technology, Quang Trung University, Quy Nhon City, Vietnam<\/span><\/p>\n<p><span style=\"color: #3366ff;\"><sup>[<\/sup><sup>2<\/sup><sup>]<\/sup> Institute of IR 4.0, The National University of Malaysia, 43600 UKM Bangi, Selangor, Malaysia<\/span><\/p>\n<p><span style=\"color: #3366ff;\"><sup>[<\/sup><sup>3<\/sup><sup>]<\/sup> Institute for Mathematical Research (INSPEM), University Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia<\/span><\/p>\n<p><span style=\"color: #3366ff;\">Received: 17 February 2020 \/ Revised: 11 May 2020 \/ Accepted: 10 June 2020<\/span><\/p>\n<p><span style=\"color: #3366ff;\">Taiwan Fuzzy Systems Association 2020<\/span><\/p>\n<p><strong><span style=\"color: #339966;\">Article type:<\/span>\u00a0<\/strong><span style=\"color: #3366ff;\">Research Article<\/span><\/p>\n<p><span style=\"color: #339966;\"><strong>Abstract<\/strong><strong>:<\/strong><\/span> \u00a0<span style=\"color: #3366ff;\">In this paper, we present a fuzzy PID control system as a combination of a fuzzy PID controller and a fuzzy control process, which is represented by a fuzzy control differential equation in linear form. We use the concepts of the generalized Hukuhara differentiability and the fuzzy integral of fuzzy-valued functions to study some qualitative properties for this system in the space of fuzzy numbers. We also study the existence and uniqueness result for solutions of fuzzy PID control differential equations under some suitable conditions. A number of examples are also provided to illustrate the results of the theory.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #339966;\"><strong>Keywords<\/strong><strong>:<\/strong> <\/span><span style=\"color: #ff00ff;\">\u00a0Fuzzy PID controller\u00a0 Generalized Hukuhara differentiability\u00a0 Fuzzy differential equations\u00a0 Fuzzy PID control system<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"Authors: Nguyen Dinh Phu1 \u2022 Nguyen Nhut Hung1 \u2022 Ali Ahmadian2 \u2022 Norazak Senu3 Affiliations: [1] Faculty of Engineering Technology, Quang Trung University, Quy Nhon City, Vietnam [2] Institute of IR 4.0, The National University of Malaysia, 43600 UKM Bangi, Selangor, Malaysia [3] Institute for Mathematical Research (INSPEM), University Putra Malaysia, 43400 UPM Serdang, Selangor, 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