Disturbance attenuation and rejection for stochastic Markovian jump system with partially known transition probabilities

被引:155
作者
Sun, Haibin [1 ]
Li, Yankai [1 ]
Zong, Guangdeng [1 ]
Hou, Linlin [2 ]
机构
[1] Qufu Normal Univ, Sch Engn, Rizhao 276826, Peoples R China
[2] Qufu Normal Univ, Sch Informat Sci & Engn, Rizhao 276826, Peoples R China
基金
中国国家自然科学基金;
关键词
Stochastic system; Partially known transition probabilities; Boundedness; Resilient control; Disturbance observer; Disturbance attenuation and rejection; OBSERVER-BASED-CONTROL; H-INFINITY CONTROL; SLIDING MODE CONTROL; NONLINEAR-SYSTEMS; MULTIPLE DISTURBANCES; UNCERTAIN SYSTEMS; DELAY;
D O I
10.1016/j.automatica.2017.12.046
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 problem of disturbance attenuation and rejection is investigated for stochastic Markovian jump system with multiple disturbances, which include white noises and disturbances with partially known information. A disturbance observer is designed to estimate the disturbances with partially known information. Based on the estimation value, a disturbance observer based attenuation and rejection controller is constructed such that the closed-loop system is asymptotically bounded in mean square or asymptotically stable in probability under different conditions. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码:349 / 357
页数:9
相关论文
共 36 条
[1]  
[Anonymous], 2012, NONLINEAR SYSTEMS
[2]  
Boukas E.-K., 2007, Stochastic switching systems: analysis and design
[3]  
Chen M, 2010, INT J CONTROL AUTOM, V8, P445, DOI [10.1007/S12555-010-0233-5, 10.1007/s12555-010-0233-5]
[4]   Disturbance observer based control for nonlinear systems [J].
Chen, WH .
IEEE-ASME TRANSACTIONS ON MECHATRONICS, 2004, 9 (04) :706-710
[5]  
Costa OLV, 2005, DISCRETE TIME MARKOV
[6]   Simple homogeneous sliding-mode controller [J].
Ding, Shihong ;
Levant, Arie ;
Li, Shihua .
AUTOMATICA, 2016, 67 :22-32
[7]   Second-Order Sliding Mode Control for Nonlinear Uncertain Systems Bounded by Positive Functions [J].
Ding, Shihong ;
Wang, Jiadian ;
Zheng, Wei Xing .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2015, 62 (09) :5899-5909
[8]   Disturbance attenuation and rejection for systems with nonlinearity via DOBC approach [J].
Guo, L ;
Chen, WH .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2005, 15 (03) :109-125
[9]   Anti-disturbance control theory for systems with multiple disturbances: A survey [J].
Guo, Lei ;
Cao, Songyin .
ISA TRANSACTIONS, 2014, 53 (04) :846-849
[10]   From PID to Active Disturbance Rejection Control [J].
Han, Jingqing .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2009, 56 (03) :900-906