{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1390856374249756800.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.5687/iscie.35.153"}},{"identifier":{"@type":"URI","@value":"https://www.jstage.jst.go.jp/article/iscie/35/6/35_153/_pdf"}}],"dc:title":[{"@language":"en","@value":"Nonlinear Control via the SOS Method for the Output Voltage of Buck Converters Based on Discretized Bilinear Models"},{"@language":"ja","@value":"離散化双線形モデルに基づくバックコンバータ出力電圧のSOS手法による非線形制御"}],"dc:language":"ja","description":[{"type":"abstract","notation":[{"@language":"en","@value":"<p>In this paper, nonlinear controllers are designed for buck converters via the Sum of Squares (SOS) method based on their discretized bilinear model. We first consider a class of control laws in a rational funciton. The condition of Lyapunov stability theory is converted to an SOS condition, and by using the SOS method, a nonlinear stabilizing controller for the discrete-time system is derived to ensure that input constraints on buck converters can also be satisfied. However, with such a control law, the rate of convergence may be poor. To solve this problem, we next obtain through the SOS method a control law satisfying the input constraints and maximizing the Lyapunov function decrement in each sampling time. Finally, simulation and experimental results are shown to confirm the effectiveness of the second control law.</p>"}],"abstractLicenseFlag":"disallow"}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1410856374249756802","@type":"Researcher","foaf:name":[{"@language":"en","@value":"Yang Xi"},{"@language":"ja","@value":"楊 熙"}],"jpcoar:affiliationName":[{"@language":"ja","@value":"京都大学 大学院 工学研究科"},{"@language":"en","@value":"Graduate School of Engineering, Kyoto University"}]},{"@id":"https://cir.nii.ac.jp/crid/1410856374249756800","@type":"Researcher","foaf:name":[{"@language":"en","@value":"Ebihara Yoshio"},{"@language":"ja","@value":"蛯原 義雄"}],"jpcoar:affiliationName":[{"@language":"ja","@value":"九州大学 大学院 システム情報科学研究院"},{"@language":"en","@value":"Graduate School of Information Science and Electrical Engineering, Kyushu University"}]},{"@id":"https://cir.nii.ac.jp/crid/1410856374249756801","@type":"Researcher","foaf:name":[{"@language":"en","@value":"Hagiwara Tomomichi"},{"@language":"ja","@value":"萩原 朋道"}],"jpcoar:affiliationName":[{"@language":"ja","@value":"京都大学 大学院 工学研究科"},{"@language":"en","@value":"Graduate School of Engineering, Kyoto University"}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"13425668"},{"@type":"LISSN","@value":"13425668"},{"@type":"EISSN","@value":"2185811X"}],"prism:publicationName":[{"@language":"en","@value":"Transactions of the Institute of Systems, Control and Information Engineers"},{"@language":"ja","@value":"システム制御情報学会論文誌"},{"@language":"en","@value":"Transactions of ISCIE"},{"@language":"en","@value":"Trans. ISCIE"},{"@language":"en","@value":"Transactions of the Institute of Systems, Control and Information Engineers"},{"@language":"ja","@value":"システム制御情報学会論文誌"}],"dc:publisher":[{"@language":"en","@value":"THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS (ISCIE)"},{"@language":"ja","@value":"一般社団法人 システム制御情報学会"}],"prism:publicationDate":"2022-06-15","prism:volume":"35","prism:number":"6","prism:startingPage":"153","prism:endingPage":"164"},"reviewed":"false","dcterms:accessRights":"http://purl.org/coar/access_right/c_abf2","url":[{"@id":"https://www.jstage.jst.go.jp/article/iscie/35/6/35_153/_pdf"}],"availableAt":"2022-06-15","foaf:topic":[{"@id":"https://cir.nii.ac.jp/all?q=buck%20converters","dc:title":"buck converters"},{"@id":"https://cir.nii.ac.jp/all?q=SOS","dc:title":"SOS"},{"@id":"https://cir.nii.ac.jp/all?q=nonlinear","dc:title":"nonlinear"},{"@id":"https://cir.nii.ac.jp/all?q=discretized%20model","dc:title":"discretized model"}],"relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1360579815814253824","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Control design for discrete‐time bilinear systems using the scalarized Schur complement"}]},{"@id":"https://cir.nii.ac.jp/crid/1361981469100230528","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Fundamentals of Power Electronics"}]},{"@id":"https://cir.nii.ac.jp/crid/1363388845397347968","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Domain of Attraction"}]},{"@id":"https://cir.nii.ac.jp/crid/1390001205169122944","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["references"],"jpcoar:relatedTitle":[{"@language":"ja","@value":"離散化双線形モデルに基づくブーストコンバータ出力電圧の積分補償付非線形制御―II"},{"@language":"en","@value":"Nonlinear Control with Integral Compensation for Output Voltage of Boost Converters Based on Discretized Bilinear Model―II"},{"@value":"離散化双線形モデルに基づくブーストコンバータ出力電圧の積分補償付非線形制御(2)制御則の導出と実験による検証"},{"@language":"ja-Kana","@value":"リサンカソウセンケイ モデル ニ モトズク ブーストコンバータ シュツリョク デンアツ ノ セキブン ホショウ ツキ ヒセンケイ セイギョ(2)セイギョソク ノ ドウシュツ ト ジッケン ニ ヨル ケンショウ"}]},{"@id":"https://cir.nii.ac.jp/crid/1390001205169124096","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["references"],"jpcoar:relatedTitle":[{"@language":"ja","@value":"離散化双線形モデルに基づくブーストコンバータ出力電圧の積分補償付非線形制御―I"},{"@language":"en","@value":"Nonlinear Control with Integral Compensation for Output Voltage of Boost Converters Based on Discretized Bilinear Model―I"},{"@value":"離散化双線形モデルに基づくブーストコンバータ出力電圧の積分補償付非線形制御(1)モデル化と同定"},{"@language":"ja-Kana","@value":"リサンカソウセンケイ モデル ニ モトズク ブーストコンバータ シュツリョク デンアツ ノ セキブン ホショウ ツキ ヒセンケイ セイギョ(1)モデルカ ト ドウテイ"}]}],"dataSourceIdentifier":[{"@type":"JALC","@value":"oai:japanlinkcenter.org:2009877291"},{"@type":"CROSSREF","@value":"10.5687/iscie.35.153"},{"@type":"OPENAIRE","@value":"doi_________::ccd3d9ec669429bb958fb456d3a9797e"}]}