H2 control of linear uncertain systems considering input quantization with encoder/decoder mismatch

被引:30
作者
Zheng, Bo-Chao [1 ]
Yang, Guang-Hong [2 ,3 ]
机构
[1] Nanjing Univ Informat Sci & Technol, Sch Informat & Control, Nanjing 210044, Jiangsu, Peoples R China
[2] Northeastern Univ, Coll Informat Sci & Engn, Shenyang, Peoples R China
[3] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110004, Peoples R China
关键词
H-2; control; Linear systems; Encoder/decoder mismatch; Input quantization; LMIs; FEEDBACK STABILIZATION; NETWORKED SYSTEMS; CONTROL DESIGN;
D O I
10.1016/j.isatra.2013.06.002
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, an H-2 control design for linear uncertain systems with input quantization in the presence of more general encoder/decoder mismatch is investigated. The construction of the control law includes two parts: linear part and nonlinear part. The gain of the linear part is derived from linear matrix inequalities (LMIs), and the linear part of the control law is designed for achieving the H-2 performance against system characteristic matrix uncertainty and encoder/decoder mismatch. The nonlinear part is designed to eliminate the influence of external disturbance and quantization error. Finally, examples are provided to illustrate the effectiveness of the proposed method. (C) 2013 ISA. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:577 / 582
页数:6
相关论文
共 26 条
[1]   Quantized feedback stabilization of linear systems [J].
Brockett, RW ;
Liberzon, D .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (07) :1279-1289
[2]   Quantised H∞ filtering for networked systems with random sensor packet losses [J].
Che, W. -W. ;
Wang, J. -L. ;
Yang, G. -H. .
IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (08) :1339-1352
[3]   STATE FEEDBACK H∞ CONTROL FOR QUANTIZED DISCRETE-TIME SYSTEMS [J].
Che, Wei-Wei ;
Yang, Guang-Hong .
ASIAN JOURNAL OF CONTROL, 2008, 10 (06) :718-723
[4]   Quantised H filter design for discrete-time systems [J].
Che, Wei-Wei ;
Yang, Guang-Hong .
INTERNATIONAL JOURNAL OF CONTROL, 2009, 82 (02) :195-206
[5]   Decentralised H∞ quantisers design for uncertain interconnected networked systems [J].
Chen, N. ;
Zhai, G. ;
Gui, W. ;
Yang, C. ;
Liu, W. .
IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (02) :177-185
[6]   Analysis and detection of incipient faults in post-fault systems subject to adaptive fault-tolerant control [J].
Chen, Wen ;
Chowdhury, Fahmida N. .
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2008, 22 (09) :815-832
[7]  
Cleslak J, 2006, METHODOLOGY DESIGN A
[8]  
Dai L, 2010, LECT NOTES ARTIF INT, V6424, P171, DOI 10.1007/978-3-642-16584-9_16
[9]   Robustness of quantized continuous-time nonlinear systems to encoder/decoder mismatch [J].
De Persis, Claudio .
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, :13-18
[10]   Stabilization of linear systems with limited information [J].
Elia, N ;
Mitter, SK .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (09) :1384-1400