Disturbance rejection and performance analysis for nonlinear systems based on nonlinear equivalent-input-disturbance approach

This paper presents a nonlinear equivalent-input-disturbance (NEID) approach to rejecting an unknown exogenous disturbance in a nonlinear system. An NEID compensator has two parts: a conventional equivalent-input-disturbance estimator and a nonlinear state feedback term. This design ensures that onl...

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Bibliographic Details
Published inNonlinear dynamics Vol. 100; no. 4; pp. 3497 - 3511
Main Authors Yin, Xiang, She, Jinhua, Wu, Min, Sato, Daiki, Hirota, Kaoru
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.06.2020
Springer Nature B.V
Subjects
Automotive Engineering
Classical Mechanics
Control
Dynamical Systems
Engineering
Equivalence
Error analysis
Lipschitz condition
Mechanical Engineering
Nonlinear analysis
Nonlinear systems
Nonlinearity
Original Paper
Rejection
State feedback
Upper bounds
Vibration
Equivalent input disturbance
Performance analysis
Exogenous disturbance estimation
Nonlinear system
Local uniformly boundedness
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Summary:This paper presents a nonlinear equivalent-input-disturbance (NEID) approach to rejecting an unknown exogenous disturbance in a nonlinear system. An NEID compensator has two parts: a conventional equivalent-input-disturbance estimator and a nonlinear state feedback term. This design ensures that only the exogenous disturbance is rejected and the useful nonlinearity of the system is retained. Unlike other active disturbance-rejection methods, a Lipschitz condition is not necessary to guarantee the convergence of the observation error. Analysis of control performance provides upper bounds for the evaluation of disturbance rejection and the degree of nonlinearity retention. Numerical examples show the validity and superiority of this method.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-020-05699-z