Stability and H∞ Performance Analysis of Switched Stochastic Neutral Systems

被引:14
作者
Chen, Guoxin [1 ]
Xiang, Zhengrong [1 ]
Mahmoud, Magdi S. [2 ]
机构
[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China
[2] King Fahd Univ Petr & Minerals, Dept Syst Engn, Dhahran 31261, Saudi Arabia
基金
中国国家自然科学基金;
关键词
Switched stochastic systems; Neutral systems; Time delay; H-infinity performance; Average dwell time; OUTPUT-FEEDBACK CONTROL; TIME-DELAY; NONLINEAR-SYSTEMS; EXPONENTIAL STABILITY; LYAPUNOV FUNCTION; STABILIZATION;
D O I
10.1007/s00034-012-9459-1
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper is concerned with the problems of stability and H (a) performance for a class of switched stochastic neutral delay systems. By applying the average dwell time method, sufficient condition is first derived to guarantee the mean-square exponential stability of the switched stochastic neutral system. Then, the condition on a weighted H (a) performance is proposed. The corresponding results are all formulated in terms of linear matrix inequalities (LMIs). Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.
引用
收藏
页码:387 / 400
页数:14
相关论文
共 42 条
[1]   Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [J].
Branicky, MS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :475-482
[2]  
Chang WJ, 2011, INT J INNOV COMPUT I, V7, P345
[3]   Stochastic H2/H∞ control with state-dependent noise [J].
Chen, BS ;
Zhang, WH .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (01) :45-57
[4]   On Stability of Switched Time-Delay Systems Subject to Nonlinear Stochastic Perturbations [J].
Chen, Yun ;
Zheng, Wei Xing .
49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, :2644-2649
[5]   A new result on stability analysis for stochastic neutral systems [J].
Chen, Yun ;
Zheng, Wei Xing ;
Xue, Anke .
AUTOMATICA, 2010, 46 (12) :2100-2104
[6]  
[丛屾 CONG Shen], 2007, [自动化学报, Acta Automatica Sinica], V33, P985
[7]   Stability Analysis of Networked Control Systems Using a Switched Linear Systems Approach [J].
Donkers, M. C. F. ;
Heemels, W. P. M. H. ;
van de Wouw, Nathan ;
Hetel, Laurentiu .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (09) :2101-2115
[8]   Delay-dependent robust stabilisation of uncertain discrete-time switched systems with time-varying state delay [J].
Du, Dongsheng ;
Jiang, Bin ;
Zhou, Shaosheng .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2008, 39 (03) :305-313
[9]   H∞ filtering of discrete-time switched systems with state delays via switched Lyapunov function approach [J].
Du, Dongsheng ;
Jiang, Bin ;
Shi, Peng ;
Zhou, Shaosheng .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (08) :1520-1525
[10]   Robust l2-l∞ control for uncertain discrete-time switched systems with delays [J].
Du, Dongsheng ;
Jiang, Bin ;
Shi, Peng ;
Zhou, Shaosheng .
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2006, 25 (06) :729-744