Observer-based output feedback control for discrete systems with quantised inputs

被引：25
作者：
Zhang, J. [1 ]
Lam, J. [2 ]
Xia, Y. [1 ]
机构：
[1] Beijing Inst Technol, Dept Automat Control, Beijing 100081, Peoples R China
[2] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
来源：
IET CONTROL THEORY AND APPLICATIONS | 2011年 / 5卷 / 03期
关键词：
NETWORKED CONTROL-SYSTEMS; H-INFINITY CONTROL; S FUZZY-SYSTEMS; LINEAR-SYSTEMS; PREDICTIVE CONTROL; TIME-SYSTEMS; LIMITED INFORMATION; STABILITY ANALYSIS; STATE-FEEDBACK; CONTROL DESIGN;
D O I：
10.1049/iet-cta.2010.0148
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This study is concerned with the problem of observer-based output feedback control for discrete-time systems with quantised inputs. Firstly, a new necessary and sufficient condition is established to guarantee the asymptotic stability of the closed-loop system. However, the condition is presented in terms of a matrix inequality that depends on quantisation parameters varying over certain intervals. To solve this problem, a new quantisation-density-dependent necessary and sufficient condition is derived. Based on such a condition, both full-and reduced-order observer-based quantised feedback controllers are designed via a single-step approach. Finally, numerical examples are given to show the effectiveness of the author's method.
引用
收藏
页码：478 / 485
页数：8
相关论文
共 35 条
[11]   A new approach to quantized feedback control systems [J].
Gao, Huijun ;
Chen, Tongwen .
AUTOMATICA, 2008, 44 (02) :534-542
[12]   Linear matrix inequality approach to static output-feedback stabilisation of discrete-time networked control systems [J].
Hao, F. ;
Zhao, X. .
IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (07) :1211-1221
[13]   Adaptive quantized control for nonlinear uncertain systems [J].
Hayakawa, Tomohisa ;
Ishii, Hideaki ;
Tsumura, Koji .
SYSTEMS & CONTROL LETTERS, 2009, 58 (09) :625-632
[14]   Adaptive quantized control for linear uncertain discrete-time systems [J].
Hayakawa, Tomohisa ;
Ishii, Hideaki ;
Tsumura, Koji .
AUTOMATICA, 2009, 45 (03) :692-700
[15]   Stabilization of nonlinear systems with limited information feedback [J].
Liberzon, D ;
Hespanha, JP .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (06) :910-915
[16]   Hybrid feedback stabilization of systems with quantized signals [J].
Liberzon, D .
AUTOMATICA, 2003, 39 (09) :1543-1554
[17]   Observer-based H∞ fuzzy control design for T-S fuzzy systems with state delays [J].
Lin, Chong ;
Wang, Qing-Guo ;
Lee, Tong Heng ;
He, Yong ;
Chen, Bing .
AUTOMATICA, 2008, 44 (03) :868-874
[18]  
Liu M, 2009, ASIA CONTROL CONF AS, P226
[19]   New approaches to H∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI [J].
Liu, XD ;
Zhang, QL .
AUTOMATICA, 2003, 39 (09) :1571-1582
[20]  
MAO Z, 2008, IET CONTROL THEORY A, V2, P675
1234