On convergence of extended state observers for nonlinear systems with non-differentiable uncertainties

被引：1

作者：

Wu, Xiang ^{[1
]}

Lu, Qun ^{[2
]}

She, Jinhua ^{[3
]}

Sun, Mingxuan ^{[1
]}

Yu, Li ^{[1
]}

Su, Chun-Yi ^{[2
,4
]}

机构：

[1] Zhejiang Univ Technol, Coll Informat Engn, Hangzhou, Peoples R China

[2] Taizhou Univ, Sch Aeronaut Engn, Jiaojiang 318000, Zhejiang, Peoples R China

[3] Tokyo Univ Technol, Sch Engn, Hachioji, Tokyo 1920982, Japan

[4] Concordia Univ, Dept Mech Ind & Aerosp Engn, Montreal, PQ H3G 1M8, Canada

来源：

ISA TRANSACTIONS | 2023年 / 136卷

关键词：

Extended state observers; Nonlinear systems; Convergence analysis; Non-differentiable uncertainties; SLIDING-MODE CONTROL; FINITE-TIME; ACTIVE DISTURBANCE; DESIGN; STABILIZATION;

D O I：

10.1016/j.isatra.2022.11.012

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The analysis of convergence of extended state observers (ESOs) requires the total disturbance to be differentiable. However, this requirement is not satisfied in many control engineering practices. In this paper, we attempt to analyze the convergence of ESOs for nonlinear systems with non-differentiable uncertainties. A decomposition method is first presented to divide the non-differentiable total disturbance into a differentiable signal and a bounded but non-differentiable signal. Based on this decomposition, we give out the convergence of both nonlinear and linear ESOs (NLESO/LESO), low-and high-power ESOs (LPESO/HPESO), and fixed-time ESO (FxESO). We also derive the explicit formulas for the estimation errors of these ESOs. Simulations and experiments demonstrate the correctness of the analysis results.(c) 2022 ISA. Published by Elsevier Ltd. All rights reserved.

引用

页码：590 / 604

页数：15

共 50 条

[21] On the ball of convergence of secant-like methods for non-differentiable operators
Hernandez-Veron, M. A.
Rubio, M. J.
APPLIED MATHEMATICS AND COMPUTATION, 2016, 273 : 506 - 512
[22] H∞ control for linear descriptor systems with non-differentiable delays in both state and observation
Niamsup, P.
Phat, V. N.
OPTIMIZATION, 2021, 70 (08) : 1809 - 1823
[23] On the convergence of an extended state observer for nonlinear systems with uncertainty
Guo, Bao-Zhu
Zhao, Zhi-liang
SYSTEMS & CONTROL LETTERS, 2011, 60 (06) : 420 - 430
[24] Stabilization by delay feedback control for highly nonlinear switched stochastic systems with non-differentiable delay
Zhao, Ying
Zhu, Quanxin
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2024, 54
[25] On Morrey and BMO regularity for gradients of weak solutions to nonlinear elliptic systems with non-differentiable coefficients
Danecek, Josef
Viszus, Eugen
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2017, (11) : 1 - 14
[26] On Convergence of Nonlinear Extended Stated Observers with Switching Functions
Zhao Zhi-Liang
Guo Bao-Zhu
PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, : 664 - 669
[27] Extended state observer for MIMO nonlinear systems with stochastic uncertainties
Wu, Ze-Hao
Guo, Bao-Zhu
INTERNATIONAL JOURNAL OF CONTROL, 2020, 93 (03) : 424 - 436
[28] Fractional estimates for non-differentiable elliptic systems with general growth
Diening, Lars
Ettwein, Frank
FORUM MATHEMATICUM, 2008, 20 (03) : 523 - 556
[29] On the convergence of modified Newton methods for solving equations containing a non-differentiable term
Argyros, Ioannis K.
Ren, Hongmin
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 231 (02) : 897 - 906
[30] ENLARGING THE BALL OF CONVERGENCE OF SECANT-LIKE METHODS FOR NON-DIFFERENTIABLE OPERATORS
Argyros, Toannis K.
Ren, Hongmin
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 55 (01) : 17 - 28

← 1 2 3 4 5 →