Design, Control, and Analysis of Nonlinear Circuits with Tunnel Diode with Piecewise Affine Dynamics

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カテゴリ: 論文誌(論文単位)グループ名: 【D】産業応用部門（英文）発行日: 2019/03/01タイトル(英語): Design, Control, and Analysis of Nonlinear Circuits with Tunnel Diode with Piecewise Affine Dynamics著者名: Philipp Pasolli (University of Agder), Michael Ruderman (University of Agder)著者名(英語): Philipp Pasolli (University of Agder), Michael Ruderman (University of Agder)キーワード: tunnel diode，nonlinearity，electric circuits，hybrid control，limit cycle，piecewise affine systems，formal verification要約(英語): A classic example of dynamic systems with nonlinearities is considered, using an electrical circuit including the tunnel diode, that features several equilibria points due to a piecewise positive and negative damping. These system-properties allow us to investigate the possible limit cycles, and the formal analysis of the closed-loop dynamics of such. In this paper, an experimental setup of nonlinear circuits is designed, followed by the system modeling and identification of the diodes' characteristics. An integral-state-feedback control is designed and evaluated for demonstrating the appearance of the limit cycles depending on the reference level. A piecewise affine (PWA) system formulation is also provided for allowing the use of formal verification tools for hybrid dynamic systems. An available tool, PWLTool, is applied in line with trajectory prediction from the numerical simulation of the identified closed-loop system.本誌: IEEJ Journal of Industry Applications Vol.8 No.2 （2019） Special Issue Ⅰ on “Motion Control and its Related Technologies” Special Issue Ⅱ on “IPEC-Niigata 2018”本誌掲載ページ: 240-249 p原稿種別: 論文／英語電子版へのリンク: https://www.jstage.jst.go.jp/article/ieejjia/8/2/8_240/_article/-char/ja/ Show more