Optimal H∞ filtering in networked control systems with multiple packet dropouts

被引:169
作者
Sahebsara, Mehrdad [1 ,3 ]
Chen, Tongwen [2 ]
Shah, Sirish L. [1 ]
机构
[1] Univ Alberta, Dept Chem & Mat Engn, Edmonton, AB T6G 2G6, Canada
[2] Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB T6G 2V4, Canada
[3] Semnan Univ, Fac Engn, Dept Elect Engn, Semnan, Iran
基金
加拿大自然科学与工程研究理事会;
关键词
NCS; H-infinity filtering; stochastic systems; packet dropout;
D O I
10.1016/j.sysconle.2008.01.011
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 paper studies the problem of H-infinity filtering in networked control systems (NCSs) with multiple packet dropouts. A new formulation enables us to assign separate dropout rates from the sensors to the controller and from the controller to the actuators. By employing the new formulation, random dropout rates are transformed into stochastic parameters in the system's representation. A generalized H-infinity-norm for systems with stochastic parameters and both stochastic and deterministic inputs is derived. The stochastic H-infinity-norm of the filtering error is used as a criterion for filter design in the NCS framework. A set of linear matrix inequalities (LMIs) is given to solve the corresponding filter design problem. A simulation example supports the theory. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:696 / 702
页数:7
相关论文
共 23 条
[1]  
Boy S., 1994, Linear MatrixInequalities in System and Control Theory
[2]  
Chen T, 1995, OPTIMAL SAMPLED DATA
[3]   ON THE DISCRETE-TIME BOUNDED REAL LEMMA WITH APPLICATION IN THE CHARACTERIZATION OF STATIC STATE FEEDBACK H-INFINITY CONTROLLERS [J].
DESOUZA, CE ;
XIE, LH .
SYSTEMS & CONTROL LETTERS, 1992, 18 (01) :61-71
[4]  
El Bouhtouri A, 1999, INT J ROBUST NONLIN, V9, P923, DOI 10.1002/(SICI)1099-1239(199911)9:13<923::AID-RNC444>3.0.CO
[5]  
2-2
[6]  
FURUTA K, 1990, P AM CONTR C, V3, P3067
[7]   A LINEAR MATRIX INEQUALITY APPROACH TO H-INFINITY CONTROL [J].
GAHINET, P ;
APKARIAN, P .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 1994, 4 (04) :421-448
[8]   H2 and H∞ robust filtering for discrete-time linear systems [J].
Geromel, JC ;
Bernussou, J ;
Garcia, G ;
De Oliveira, MC .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 38 (05) :1353-1368
[9]   A survey of recent results in networked control systems [J].
Hespanha, Joao P. ;
Naghshtabrizi, Payam ;
Xu, Yonggang .
PROCEEDINGS OF THE IEEE, 2007, 95 (01) :138-162
[10]  
Li H., 2005, P 5 INT C HYBR INT S