Stabilization of networked control systems with short or long random delays: A new multirate method

被引:18
作者
Guan, Zhi-Hong [1 ]
Yang, Chunxi [1 ]
Huang, Jian [1 ]
机构
[1] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China
基金
中国国家自然科学基金;
关键词
Markov chains; networked control systems; network-induced delays; multirate control; V-K iteration; SAMPLED-DATA SYSTEMS; RATE FAULT-DETECTION; STABILITY;
D O I
10.1002/rnc.1548
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 stabilization of a class of networked control systems (NCSs) with time-varying delay is discussed where the random delay is less than one sensor period or more than one sensor period but bounded. A new multirate method is proposed to formulate the union model for both short and long random delays. Sufficient conditions on the existence of stabilizing controllers are established when the transition probability matrix is known. V-K iteration approach is employed to calculate the mode-dependent and mode-independent state-feedback gains of NCSs. Copyright (C) 2009 John Wiley & Sons, Ltd.
引用
收藏
页码:1802 / 1816
页数:15
相关论文
共 17 条
[1]   Networks and control [J].
Bushnell, LG .
IEEE CONTROL SYSTEMS MAGAZINE, 2001, 21 (01) :22-23
[2]  
FRAGOSO MD, 2004, DISCRETE TIME MARKOV
[3]   Packet-based control:: The H2-optimal solution [J].
Georgiev, D ;
Tilbury, DM .
AUTOMATICA, 2006, 42 (01) :137-144
[4]   Stochastic stability and robust control for sampled-data systems with Markovian jump parameters [J].
Hu, LS ;
Shi, P ;
Huang, B .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 313 (02) :504-517
[5]   Stochastic optimal control and analysis of stability of networked control systems with long delay [J].
Hu, SS ;
Zhu, QX .
AUTOMATICA, 2003, 39 (11) :1877-1884
[6]   An optimal scheme for fast rate fault detection based on multirate sampled data [J].
Izadi, I ;
Zhao, Q ;
Chen, TW .
JOURNAL OF PROCESS CONTROL, 2005, 15 (03) :307-319
[7]   An H∞ approach to fast rate fault detection for multirate sampled-data systems [J].
Izadi, Iman ;
Zhao, Qing ;
Chen, Tongwen .
JOURNAL OF PROCESS CONTROL, 2006, 16 (06) :651-658
[8]   Network design consideration for distributed control systems [J].
Lian, FL ;
Moyne, J ;
Tilbury, D .
IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2002, 10 (02) :297-307
[9]  
Lin H, 2003, 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, P1182
[10]   Stochastic analysis and control of real-time systems with random time delays [J].
Nilsson, J ;
Bernhardsson, B ;
Wittenmark, B .
AUTOMATICA, 1998, 34 (01) :57-64