Active disturbance rejection control approach to output-feedback stabilization of nonlinear system with Levy noises

被引:7
作者
Pei, Wenyi [1 ]
Xi, Yuejuan [2 ]
Hu, Yaozhong [3 ]
Yan, Litan [1 ,4 ]
机构
[1] Donghua Univ, Coll Informat Sci & Technol, Shanghai, Peoples R China
[2] Nankai Univ, Sch Math Sci, Tianjin, Peoples R China
[3] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB, Canada
[4] Donghua Univ, Dept Stat, Shanghai, Peoples R China
基金
中国国家自然科学基金; 加拿大自然科学与工程研究理事会;
关键词
Active disturbance rejection control; Output-feedback; Levy noise; Stabilization;
D O I
10.1016/j.sysconle.2021.104898
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, the active disturbance rejection control (ADRC) approach, an emerging control approach, is applied to output-feedback stabilization for uncertain nonlinear systems disturbed by external stochastic disturbance. Here the disturbance has the form of an uncertain system driven by both Brownian motion and Levy noises. Firstly, for the sake of estimation for all the states and stochastic disturbance, an efficient extended state observer (ESO) is designed. Then an ESO-based output-feedback control approach and the stability in the mean squared sense are finally developed, respectively. A numerical simulation is also presented to demonstrate the effectiveness of our approach. (C) 2021 Elsevier B.V. All rights reserved.
引用
收藏
页数:7
相关论文
共 20 条
[1]  
Applebaum D., 2004, Cambridge Studies in Advanced Mathematics, V93
[2]  
Guo B., 2016, ACTIVE DISTURBANCE R
[3]   Active Disturbance Rejection Control Approach to Output-Feedback Stabilization of a Class of Uncertain Nonlinear Systems Subject to Stochastic Disturbance [J].
Guo, Bao-Zhu ;
Wu, Ze-Hao ;
Zhou, Hua-Cheng .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2016, 61 (06) :1613-1618
[4]   ON CONVERGENCE OF THE NONLINEAR ACTIVE DISTURBANCE REJECTION CONTROL FOR MIMO SYSTEMS [J].
Guo, Bao-Zhu ;
Zhao, Zhi-Liang .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2013, 51 (02) :1727-1757
[5]   From PID to Active Disturbance Rejection Control [J].
Han, Jingqing .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2009, 56 (03) :900-906
[6]   Robust Nonlinear Controls of Model-Scale Helicopters Under Lateral and Vertical Wind Gusts [J].
Leonard, Francois ;
Martini, Adnan ;
Abba, Gabriel .
IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2012, 20 (01) :154-163
[7]   Generalized Extended State Observer Based Control for Systems With Mismatched Uncertainties [J].
Li, Shihua ;
Yang, Jun ;
Chen, Wen-Hua ;
Chen, Xisong .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2012, 59 (12) :4792-4802
[8]   A Class of Adaptive Extended State Observers for Nonlinear Disturbed Systems [J].
Pu, Zhiqiang ;
Yuan, Ruyi ;
Yi, Jianqiang ;
Tan, Xiangmin .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2015, 62 (09) :5858-5869
[9]   On the conditions of exponential stability in active disturbance rejection control based on singular perturbation analysis [J].
Shao, S. ;
Gao, Z. .
INTERNATIONAL JOURNAL OF CONTROL, 2017, 90 (10) :2085-2097
[10]   Linear Observer-Based Active Disturbance Rejection Control of the Omnidirectional Mobile Robot [J].
Sira-Ramirez, H. ;
Lopez-Uribe, C. ;
Velasco-Villa, M. .
ASIAN JOURNAL OF CONTROL, 2013, 15 (01) :51-63