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Students mathematically modeled the thermal dynamics of a glass incubator and its heat source, then designed a lag compensator to maintain safe temperature operation under external temperature fluctuations. The study hypothesizes that real-world project activities support learning of difficult controller design using the frequency response method. Learning was evaluated through objective report-based measures aligned with ABET outcomes and student self-evaluation surveys on factorial knowledge and perceptions, with results showing improved grasp of challenging frequency-domain concepts and design methods.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":40,"@type":76,"position":81},"https://docshare.wps.com/document/research-report/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/a-temperature-control-project-that-facilitates-learning-of-difficult-concepts-in-control-theory-summer-2020-volume-8-issue-2/588858/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/a-temperature-control-project-that-facilitates-learning-of-difficult-concepts-in-control-theory-summer-2020-volume-8-issue-2/588858.png","ImageObject",300,407,{"name":92,"@type":93},"Chumphorn","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-10-15",true,{"@type":102,"interactionType":103,"userInteractionCount":81},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What problem does the project address in control theory learning?","Question",{"text":112,"@type":113},"The project targets difficulties students experience when applying frequency response methods to controller design, where connections to time-domain performance are less intuitive than in root locus approaches.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How is the glass incubator temperature controlled in the project?",{"text":117,"@type":113},"Students model the incubator’s thermal dynamics and heat source, then design a lag compensator to keep the temperature within a safe range despite external temperature fluctuations.",{"name":119,"@type":110,"acceptedAnswer":120},"How were student learning outcomes assessed?",{"text":121,"@type":113},"Assessment used two complementary approaches: objective evaluation from students’ written reports tied to ABET outcomes and four-category self-evaluation surveys measuring factorial knowledge and student perceptions.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},588858,1793010414,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":39,"category_name":40,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":81,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":36,"preview_page_count":4},2336475401981,"https://ap-avatar.wpscdn.com/avatar/22000c94efd8d5204d?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786935347598174694","| | Ad | vances in Engineering Edu | cation |  |  |\n| --- | --- | --- | --- | --- | --- |\n|  |  |  |  | |  |\n|  |  |  |  |  |  |\n\nSUMMER 2020 VOLUME 8 ISSUE 2  \nA Temperature Control Project that Facilitates Learning of Difficult Concepts in Control Theory  \nJIANCHU YAO  \nEast Carolina University Greenville, NC  \nABSTRACT  \nThis paper presents a design project and its assessment in an undergraduate control theory course. In the project, students mathematically modeled the thermal dynamics of a glass incubator and its heat source. Based on these models, they designed a lag compensator to keep the incubator temperature in a safe range when the external temperature fluctuates. It is hypothesized that activities planned in this real-world project can facilitate the learning of difficult controller design via the frequency response method. Multiple facets of student learning were assessed, including (a) a two-level objective assessment based on students’ written reports and (b) four-category student self-evaluation surveys. The former identifies how the project helps achieve ABET outcomes and how each of the four project activities support learning outcomes. Surveys assess students’ factorial knowledge and their perception about the project. Assessment results demonstrate that this project-based-learning experience effectively aids students in grasping difficult frequency-domain concepts and design methods.  \nKey words: project-based learning, simulation, student assessment rubrics.  \nINTRODUCTION  \nIn a typical undergraduate Controls course, controller (or compensator) design with two general methods is usually introduced: design via root locus and design via frequency response [1] . In the former approach, the location of the system’s dominating closed-loop poles on the complex plane is directly related to the system performance: the real part determines the settling time Ts, the imaginary part determines the peak time Tp, and a radial line with an angle determines the damping coefficient, in turn, the system percent overshoot (P.O. ) . These direct connections provide guidelines for designing compensators via the root locus method. Improving specific performance  \nSUMMER 2020 VOLUME 8 ISSUE 2 1  \nADVANCES IN ENGINEERING EDUCATION  \nA Temperature Control Project that Facilitates Learning of Difficult Concepts in Control Theory  \nFigure. 1. Intuitive connection between locations of system closed-loop poles and system time-domain performance.  \ncan be achieved by moving the closed-loop poles in their respective directions in the complex plane as shown in Figure 1. Students, after a regular lecture, can often make the connection between the desired performance improvement and the direction to move the dominating closed-loop poles, therefore formulating necessary compensators.  \nConcepts and relationships in the frequency domain, however, are not as straightforward. Magnitude response and phase response determine how a system responds as the signal frequency varies. Their connection to the time domain performance parameters is very intricate. For example, the relationship between the phase margin and damping ratio is denoted by:  \nΦm = tan–1  2ζ  (1)  \n–2ζ2 + 1 + 4ζ4  \nSince the damping ratio ζ is related to P.O. , the phase margin Φm is also connected to P.O. However, this strong nonlinear formula does not provide any intuitive insights between the two domains. Even worse, the connections between other frequency response characteristics (gain margin, bandwidth, etc . ) and time-domain performance (Ts, Tp, etc . ) are empirical (and often confusing) curves from which no intuitive insights can be perceived. Because of the ambiguous connection between a system’s frequency response characteristics and its time-domain performance parameters, control design via the frequency response method is usually considered more difficult than that of root locus. Few instructional strategies have been reported to mitigate learning obstacles existing ","cbCaihibf8NDQKhP","https://ap.wps.com/l/cbCaihibf8NDQKhP","pdf",2307606,16,"English","# Introduction\n## Project-Based Learning Background\n## Anticipated Learning Objectives\n## Assessment Approach\n# Project Framework and Improvements","[{\"question\":\"What problem does the project address in control theory learning?\",\"answer\":\"The project targets difficulties students experience when applying frequency response methods to controller design, where connections to time-domain performance are less intuitive than in root locus approaches.\"},{\"question\":\"How is the glass incubator temperature controlled in the project?\",\"answer\":\"Students model the incubator’s thermal dynamics and heat source, then design a lag compensator to keep the temperature within a safe range despite external temperature fluctuations.\"},{\"question\":\"How were student learning outcomes assessed?\",\"answer\":\"Assessment used two complementary approaches: objective evaluation from students’ written reports tied to ABET outcomes and four-category self-evaluation surveys measuring factorial knowledge and student perceptions.\"}]","A Temperature Control Project that Facilitates Learning of Difficult Concepts in Control Theory - Summer 2020 Volume 8 Issue 2 | PDF",1792066072]