Finite-Time stabilization of nonlinear uncertain mimo systems

Zhi Liang Zhao; Ruonan Yuan; Bao Zhu Guo; Zhong Ping Jiang

doi:10.1137/22M1496086

Finite-Time stabilization of nonlinear uncertain mimo systems

Zhi Liang Zhao, Ruonan Yuan, Bao Zhu Guo, Zhong Ping Jiang

Electrical and Computer Engineering

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

Abstract

The finite-Time stabilization problem is considered for a class of multi-input multioutput nonlinear systems composed of several different subsystems that are coupled with unknown nonlinearities, possibly superlinear and nonvanishing at the origin. A novel decentralized, continuous finite-Time output-feedback control algorithm is presented by dynamically compensating the unknown nonlinear couplings and applying a saturation technique. A crucial strategy is to estimate the uncertain nonlinearities and the unmeasured state by means of a finite-Time extended state observer. The effectiveness of the proposed decentralized finite-Time output-feedback design is validated by rigorous mathematical analysis and numerical simulations.

Original language	English (US)
Pages (from-to)	2305-2333
Number of pages	29
Journal	SIAM Journal on Control and Optimization
Volume	61
Issue number	4
DOIs	https://doi.org/10.1137/22M1496086
State	Published - 2023

Keywords

Extended finite-Time observer
Finite-Time stabilization
Nonlinear systems
Output-feedback

ASJC Scopus subject areas

Control and Optimization
Applied Mathematics

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10.1137/22M1496086

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title = "Finite-Time stabilization of nonlinear uncertain mimo systems",

abstract = "The finite-Time stabilization problem is considered for a class of multi-input multioutput nonlinear systems composed of several different subsystems that are coupled with unknown nonlinearities, possibly superlinear and nonvanishing at the origin. A novel decentralized, continuous finite-Time output-feedback control algorithm is presented by dynamically compensating the unknown nonlinear couplings and applying a saturation technique. A crucial strategy is to estimate the uncertain nonlinearities and the unmeasured state by means of a finite-Time extended state observer. The effectiveness of the proposed decentralized finite-Time output-feedback design is validated by rigorous mathematical analysis and numerical simulations.",

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author = "Zhao, {Zhi Liang} and Ruonan Yuan and Guo, {Bao Zhu} and Jiang, {Zhong Ping}",

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year = "2023",

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T1 - Finite-Time stabilization of nonlinear uncertain mimo systems

AU - Zhao, Zhi Liang

AU - Yuan, Ruonan

AU - Guo, Bao Zhu

AU - Jiang, Zhong Ping

PY - 2023

Y1 - 2023

N2 - The finite-Time stabilization problem is considered for a class of multi-input multioutput nonlinear systems composed of several different subsystems that are coupled with unknown nonlinearities, possibly superlinear and nonvanishing at the origin. A novel decentralized, continuous finite-Time output-feedback control algorithm is presented by dynamically compensating the unknown nonlinear couplings and applying a saturation technique. A crucial strategy is to estimate the uncertain nonlinearities and the unmeasured state by means of a finite-Time extended state observer. The effectiveness of the proposed decentralized finite-Time output-feedback design is validated by rigorous mathematical analysis and numerical simulations.

AB - The finite-Time stabilization problem is considered for a class of multi-input multioutput nonlinear systems composed of several different subsystems that are coupled with unknown nonlinearities, possibly superlinear and nonvanishing at the origin. A novel decentralized, continuous finite-Time output-feedback control algorithm is presented by dynamically compensating the unknown nonlinear couplings and applying a saturation technique. A crucial strategy is to estimate the uncertain nonlinearities and the unmeasured state by means of a finite-Time extended state observer. The effectiveness of the proposed decentralized finite-Time output-feedback design is validated by rigorous mathematical analysis and numerical simulations.

KW - Extended finite-Time observer

KW - Finite-Time stabilization

KW - Nonlinear systems

KW - Output-feedback

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Finite-Time stabilization of nonlinear uncertain mimo systems

Abstract

Keywords

ASJC Scopus subject areas

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