A Switching Control Scheme with Increment Estimate of Unmodeled Dynamics

Yajun Zhang; Hong Niu; Xinkai Chen; Jinmei Tao; Xusheng Li

doi:10.1109/TII.2020.3038672

A Switching Control Scheme with Increment Estimate of Unmodeled Dynamics

Yajun Zhang, Hong Niu, Xinkai Chen, Jinmei Tao, Xusheng Li

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

This article presents a new switching control scheme for controlling a class of nonlinear discrete-time dynamical systems. The key idea behind the proposed control techniques lies in the decomposition of unmodeled dynamics, that is, the unmodelled dynamics are decomposed as a sum of a known function depending on the data from the posterior unmodeled dynamics measurement and an unknown increment. The control algorithm is based on a novel estimation algorithm for the increment of unmodeled dynamics, which contributes two nonlinear controllers. The theoretical results on both convergence and stability of the closed-loop system are given. The system performance is evaluated by some simulation results.

Original language	English
Article number	9262064
Pages (from-to)	6054-6061
Number of pages	8
Journal	IEEE Transactions on Industrial Informatics
Volume	17
Issue number	9
DOIs	https://doi.org/10.1109/TII.2020.3038672
Publication status	Published - 2021 Sept
Externally published	Yes

Keywords

Data driven
Unmodeled dynamics
nonlinear systems
stability and convergence
switching

ASJC Scopus subject areas

Control and Systems Engineering
Information Systems
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TII.2020.3038672

Cite this

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title = "A Switching Control Scheme with Increment Estimate of Unmodeled Dynamics",

abstract = "This article presents a new switching control scheme for controlling a class of nonlinear discrete-time dynamical systems. The key idea behind the proposed control techniques lies in the decomposition of unmodeled dynamics, that is, the unmodelled dynamics are decomposed as a sum of a known function depending on the data from the posterior unmodeled dynamics measurement and an unknown increment. The control algorithm is based on a novel estimation algorithm for the increment of unmodeled dynamics, which contributes two nonlinear controllers. The theoretical results on both convergence and stability of the closed-loop system are given. The system performance is evaluated by some simulation results. ",

keywords = "Data driven, Unmodeled dynamics, nonlinear systems, stability and convergence, switching",

author = "Yajun Zhang and Hong Niu and Xinkai Chen and Jinmei Tao and Xusheng Li",

note = "Funding Information: Manuscript received July 20, 2020; revised October 2, 2020; accepted October 31, 2020. Date of publication November 17, 2020; date of current version June 16, 2021. This work was supported in part by the Natural Science Foundation of China under Grant 61773107, Grant 61866021, Grant 61991402, Grant 61890924, Grant 61833004, Grant 61973202, Grant U1813201, and Grant 61973131 and in part by Japan Society for the Promotion of Science under Grant C-18K04212. Paper no. TII-20-3479. (Corresponding authors: Yajun Zhang; Hong Niu.) Yajun Zhang is with the State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110819, China (e-mail: yajunzhang@mail.neu.edu.cn). Publisher Copyright: {\textcopyright} 2005-2012 IEEE.",

year = "2021",

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doi = "10.1109/TII.2020.3038672",

language = "English",

volume = "17",

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AU - Zhang, Yajun

AU - Niu, Hong

AU - Chen, Xinkai

AU - Tao, Jinmei

AU - Li, Xusheng

N1 - Funding Information: Manuscript received July 20, 2020; revised October 2, 2020; accepted October 31, 2020. Date of publication November 17, 2020; date of current version June 16, 2021. This work was supported in part by the Natural Science Foundation of China under Grant 61773107, Grant 61866021, Grant 61991402, Grant 61890924, Grant 61833004, Grant 61973202, Grant U1813201, and Grant 61973131 and in part by Japan Society for the Promotion of Science under Grant C-18K04212. Paper no. TII-20-3479. (Corresponding authors: Yajun Zhang; Hong Niu.) Yajun Zhang is with the State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110819, China (e-mail: yajunzhang@mail.neu.edu.cn). Publisher Copyright: © 2005-2012 IEEE.

PY - 2021/9

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AB - This article presents a new switching control scheme for controlling a class of nonlinear discrete-time dynamical systems. The key idea behind the proposed control techniques lies in the decomposition of unmodeled dynamics, that is, the unmodelled dynamics are decomposed as a sum of a known function depending on the data from the posterior unmodeled dynamics measurement and an unknown increment. The control algorithm is based on a novel estimation algorithm for the increment of unmodeled dynamics, which contributes two nonlinear controllers. The theoretical results on both convergence and stability of the closed-loop system are given. The system performance is evaluated by some simulation results.

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KW - stability and convergence

KW - switching

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A Switching Control Scheme with Increment Estimate of Unmodeled Dynamics

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Keywords

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