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...
Saved in:
Main Authors: | , , , , , , |
---|---|
Other Authors: | |
Format: | Article |
Language: | English |
Published: |
2023
|
Subjects: | |
Online Access: | https://hdl.handle.net/10356/170946 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Institution: | Nanyang Technological University |
Language: | English |
id |
sg-ntu-dr.10356-170946 |
---|---|
record_format |
dspace |
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 |
_version_ |
1781793727117787136 |