Discrete-time optimal control of double integrators and its application in maglev train

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 de...

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Main Authors: Zhang, Hehong, Yu, Xinghuo, Xie, Yanqing, Xiao, Gaoxi, Guo, Wenzhong, Wang, Juan, Long, Zhiqiang
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2023
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Online Access:https://hdl.handle.net/10356/170946
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1709462023-10-20T15:39:43Z Discrete-time optimal control of double integrators and its application in maglev train Zhang, Hehong Yu, Xinghuo Xie, Yanqing Xiao, Gaoxi Guo, Wenzhong Wang, Juan Long, Zhiqiang School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Bang Bang Control Systems Discrete Time 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. Published version 2023-10-20T02:56:30Z 2023-10-20T02:56:30Z 2022 Journal Article Zhang, H., Yu, X., Xie, Y., Xiao, G., Guo, W., Wang, J. & Long, Z. (2022). Discrete-time optimal control of double integrators and its application in maglev train. IEEJ Journal of Industry Applications, 11(2), 236-244. https://dx.doi.org/10.1541/ieejjia.21005456 2196-5625 https://hdl.handle.net/10356/170946 10.1541/ieejjia.21005456 2-s2.0-85125601506 2 11 236 244 en IEEJ Journal of Industry Applications © 2022 The Institute of Electrical Engineers of Japan. This is an open-access article distributed under the terms of the Creative Commons License. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Engineering::Electrical and electronic engineering
Bang Bang Control Systems
Discrete Time
spellingShingle Engineering::Electrical and electronic engineering
Bang Bang Control Systems
Discrete Time
Zhang, Hehong
Yu, Xinghuo
Xie, Yanqing
Xiao, Gaoxi
Guo, Wenzhong
Wang, Juan
Long, Zhiqiang
Discrete-time optimal control of double integrators and its application in maglev train
description 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.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Zhang, Hehong
Yu, Xinghuo
Xie, Yanqing
Xiao, Gaoxi
Guo, Wenzhong
Wang, Juan
Long, Zhiqiang
format Article
author Zhang, Hehong
Yu, Xinghuo
Xie, Yanqing
Xiao, Gaoxi
Guo, Wenzhong
Wang, Juan
Long, Zhiqiang
author_sort Zhang, Hehong
title Discrete-time optimal control of double integrators and its application in maglev train
title_short Discrete-time optimal control of double integrators and its application in maglev train
title_full Discrete-time optimal control of double integrators and its application in maglev train
title_fullStr Discrete-time optimal control of double integrators and its application in maglev train
title_full_unstemmed Discrete-time optimal control of double integrators and its application in maglev train
title_sort discrete-time optimal control of double integrators and its application in maglev train
publishDate 2023
url https://hdl.handle.net/10356/170946
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