An extended state observer for a class of nonlinear systems with a new frequency-domain analysis on convergence

被引：6

作者：

Liu, Xiaodong ^{[1
]}

Zhang, Yu ^{[1
,2
]}

Xiong, Shaofeng ^{[3
]}

Du, Lifu ^{[1
]}

Li, Yitong ^{[1
,2
]}

机构：

[1] Beijing Aerosp Automat Control Inst, Beijing 100854, Peoples R China

[2] Sci & Technol Aerosp Intelligent Control Lab, Beijing 100854, Peoples R China

[3] Beijing Inst Elect Syst Engn, Beijing 100854, Peoples R China

来源：

ISA TRANSACTIONS | 2020年 / 107卷

基金：

中国国家自然科学基金;

关键词：

Active disturbance rejection control; Dynamic inversion control; Extended state observer; Hypersonic vehicle; Nonlinear system; SLIDING MODE CONTROL; ACTIVE DISTURBANCE; DYNAMIC INVERSION; REJECTION; STABILIZATION;

D O I：

10.1016/j.isatra.2020.07.035

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Regarding a class of multi-input and multi-output (MIMO) nonlinear systems, this paper presents a multi-variable linear extended state observer (MVLESO), which is applied to estimate uncertain dynamics of system real-timely. After that, a new frequency-domain analysis approach is explored to present the convergence property of MVLESO with respect to the estimation on uncertain dynamics. Meanwhile, the estimation error is mathematically modeled in frequency domain. Based on the as-built MVLESO, a robust dynamic inversion control (DIC) approach is put forward, and then it is applied to stabilize the attitude angular speeds of hypersonic vehicle. Simulation results show that, the proposed MVLESO can accurately estimate the time-varying uncertain dynamics in nonlinear system, and the deduced model about estimation error is also verified to be tenable. Furthermore, compared with the traditional DIC scheme, the MVLESO-based DIC scheme can stabilize the attitude angular speeds of researched vehicle more rapidly, and it can also possess stronger robustness against modeling uncertainties and structural disturbances. (C) 2020 ISA. Published by Elsevier Ltd. All rights reserved.

引用

页码：107 / 116

页数：10

共 25 条

[1] Robust Trajectory Tracking of a Delta Robot Through Adaptive Active Disturbance Rejection Control [J].

Angel Castaneda, Luis ;

Luviano-Juarez, Alberto ;

Chairez, Isaac .

IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2015, 23 (04) :1387-1398

[2] DYNAMIC INVERSION - AN EVOLVING METHODOLOGY FOR FLIGHT CONTROL DESIGN [J].

ENNS, D ;

BUGAJSKI, D ;

HENDRICK, R ;

STEIN, G .

INTERNATIONAL JOURNAL OF CONTROL, 1994, 59 (01) :71-91

[3] The active disturbance rejection and sliding mode control approach to the stabilization of the Euler-Bernoulli beam equation with boundary input disturbance [J].

Guo, Bao-Zhu ;

Jin, Feng-Fei .

AUTOMATICA, 2013, 49 (09) :2911-2918

[4] On the convergence of an extended state observer for nonlinear systems with uncertainty [J].

Guo, Bao-Zhu ;

Zhao, Zhi-liang .

SYSTEMS & CONTROL LETTERS, 2011, 60 (06) :420-430

[5]

Han J., 2008, The Technique for Estimating and Compensating the Uncertainties: Active Disturbance Rejection Control Technique

[6] From PID to Active Disturbance Rejection Control [J].

Han, Jingqing .

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2009, 56 (03) :900-906

[7] Anti-windup synthesis for nonlinear dynamic inversion control schemes [J].

Herrmann, G. ;

Menon, P. P. ;

Turner, M. C. ;

Bates, D. G. ;

Postlethwaite, I. .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (13) :1465-1482

[8]

Horn R., 1985, JOHNSON

[9]

Ioannou P., 1996, Robust adaptive control

[10] Active disturbance rejection control for high pointing accuracy and rotation speed [J].

Li Shunli ;

Yang Xu ;

Yang Di .

AUTOMATICA, 2009, 45 (08) :1854-1860

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