Improved scalar parameters approach to design robust H∞ filter for uncertain discrete-time linear systems

被引:21
作者
Han, Kezhen [1 ]
Feng, Jian [1 ]
机构
[1] Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110819, Peoples R China
基金
中国国家自然科学基金;
关键词
Robust H-infinity filtering; Scalar parameters approach; Diagonal matrix multipliers; Eigenvalues theory; STABILITY; H-2;
D O I
10.1016/j.sigpro.2015.01.018
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 note investigates the less conservative robust H-infinity filtering for uncertain discrete-time systems from the point of view of structured scalar parameters approach. To increase the design degree of freedom, a new structure characterized by the diagonal matrix multipliers composed of independent scalar parameters is proposed on the basis of eigenvalues theory when defining auxiliary matrix variables. The merit of such idea can be guaranteed by optimally searching those multipliers of the slack matrix variables involved in the products with filter parameters in the design conditions. Then, this formulation is applied to improve the bounded and unbounded scalar parameters based results. Finally, three examples are given to illustrate the effectiveness and expansibility of the developed methods. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:113 / 123
页数:11
相关论文
共 28 条
[1]   Robust H2 filtering for uncertain linear systems:: LMI based methods with parametric Lyapunov functions [J].
Barbosa, KA ;
de Souza, CE ;
Trofino, A .
SYSTEMS & CONTROL LETTERS, 2005, 54 (03) :251-262
[2]  
Coleman T., 1999, OPTIMIZATION TOOLBOX, Vthird
[3]   Investigating duality on stability conditions [J].
de Oliveira, MC .
SYSTEMS & CONTROL LETTERS, 2004, 52 (01) :1-6
[4]  
de Oliveira MC, 2001, LECT NOTES CONTR INF, V268, P241
[5]   Robust H2 and H∞ filtering for uncertain linear systems [J].
Duan, Zhisheng ;
Zhang, Jingxin ;
Zhangc, Cishen ;
Mosca, Edoardo .
AUTOMATICA, 2006, 42 (11) :1919-1926
[6]   Finite horizon H∞ filtering with initial condition [J].
Foo, Yung Kuan .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (11) :1220-1224
[7]   Robust filtering of discrete-time linear systems with parameter dependent Lyapunov functions [J].
Geromel, JC ;
De Oliveira, MC ;
Bernussou, J .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2002, 41 (03) :700-711
[8]  
Jaadari A, 2013, P AMER CONTR CONF, P5648
[9]   Robust H2 and H∞ filter design for uncertain linear systems via LMIs and polynomial matrices [J].
Lacerda, Marcio J. ;
Oliveira, Ricardo C. L. F. ;
Peres, Pedro L. D. .
SIGNAL PROCESSING, 2011, 91 (05) :1115-1122
[10]   Periodically Time-Varying H∞ Memory Filter Design for Discrete-Time LTI Systems With Polytopic Uncertainty [J].
Lee, Dong Hwan ;
Joo, Young Hoon ;
Tak, Myung Hwan .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (05) :1380-1385