{"id":145056,"date":"1994-10-01T00:00:00","date_gmt":"1994-10-01T00:00:00","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/msr-research-item\/fuzzy-controllers-compared-to-linear-digital-controllers\/"},"modified":"2018-10-16T20:08:30","modified_gmt":"2018-10-17T03:08:30","slug":"fuzzy-controllers-compared-to-linear-digital-controllers","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/fuzzy-controllers-compared-to-linear-digital-controllers\/","title":{"rendered":"Fuzzy controllers compared to Linear Digital Controllers"},"content":{"rendered":"<div class=\"asset-content\">\n<p>The purpose of any control system is to control the outputs of a plant in a manner described by the inputs to the control system. If a mathematical model for the plant is known, engineers can find the best linear model to elicit the desired response. Linear controllers are well understood because they are described with solvable equations based on linear combinations of the inputs, outputs, and their derivatives. Other types of controllers are theoretically possible, but do not lend themselves to direct mathematical analysis. One such alternative to linear control is fuzzy control. Using fuzzy logic, a controller can be designed that outperforms linear controllers. The nonlinearities introduced, however, make it difficult to characterize the control system and therefore to determine relative stability or the optimality of the design.<\/p>\n<\/div>\n<p><!-- .asset-content --><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The purpose of any control system is to control the outputs of a plant in a manner described by the inputs to the control system. If a mathematical model for the plant is known, engineers can find the best linear model to elicit the desired response. Linear controllers are well understood because they are described [&hellip;]<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","msr-author-ordering":[{"type":"user_nicename","value":"jdroppo"}],"msr_publishername":"Institute of Electrical and Electronics Engineers, Inc.","msr_publisher_other":"","msr_booktitle":"Proc. NORTHCON 1994","msr_chapter":"","msr_edition":"Proc. NORTHCON 1994","msr_editors":"","msr_how_published":"","msr_isbn":"","msr_issue":"","msr_journal":"","msr_number":"","msr_organization":"","msr_pages_string":"108\u2013112","msr_page_range_start":"108","msr_page_range_end":"112","msr_series":"","msr_volume":"","msr_copyright":"\u00a9 2007 IEEE. Personal use of this material is permitted. However, permission to reprint\/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.","msr_conference_name":"Proc. 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