Discrete-Time Optimal Control of Double Integrators and its Application in Maglev Train

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: 2022/03/01

タイトル(英語): Discrete-Time Optimal Control of Double Integrators and its Application in Maglev Train

著者名: Hehong Zhang (College of Mathematics and Computer Science, Fuzhou University), Xinghuo Yu (School of Engineering, RMIT University), Yanqing Xie (College of Marine Engineering, Dalian Maritime University), Gaoxi Xiao (School of Electrical and Electronic En

著者名(英語): Hehong Zhang (College of Mathematics and Computer Science, Fuzhou University), Xinghuo Yu (School of Engineering, RMIT University), Yanqing Xie (College of Marine Engineering, Dalian Maritime University), Gaoxi Xiao (School of Electrical and Electronic Engineering, Nanyang Technological University), Wenzhong Guo (College of Mathematics and Computer Science, Fuzhou University), Juan Wang (College of Mathematics and Computer Science, Fuzhou University), Zhiqiang Long (College of Mechatronics Engineering and Automation, National University of Defense Technology)

キーワード: time optimal control，discrete-time，convergence，disturbances，examples，experiment

要約(英語): As an alternative to bang-bang control, a time optimal control (TOC) algorithm for discrete-time systems was first reported by Han(1). This algorithm not only acts as a noise-tolerant tracking differentiator (TD) to avoid setpoint jumps in control processes, but also has wide applications in the design of controllers and observers. However, determination of the real-time state position on the phase plane involves complex boundary transformations, which renders this algorithm impractical for some engineering applications. This paper proposes a methodology for discrete-time optimal control (DTOC) of double integrators with disturbances. The closed-form solution with lower computational burden can be easily extended to general second-order systems. Further, in consideration of the inevitable disturbances in the systems, a rigorous and full-convergence proof is presented for the proposed algorithm. The results show finite-time and fast convergence as well as provide the ultimate stable attraction regions for the system states. Examples and experiments are also presented to demonstrate the effectiveness of the proposed algorithm for solving a signal processing problem in a maglev train.

本誌: IEEJ Journal of Industry Applications Vol.11 No.2 （2022） Special Issue on “Motion Control and its Related Technologies”

本誌掲載ページ: 236-244 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/11/2/11_21005456/_article/-char/ja/