Improved robust energy-to-peak filtering for uncertain linear systems

被引:98
作者
Zhang, Hui [1 ]
Mehr, Aryan Saadat [2 ]
Shi, Yang [1 ]
机构
[1] Univ Victoria, Dept Mech Engn, STN CSC, Victoria, BC V8W 3P6, Canada
[2] Univ Saskatchewan, Dept Elect & Comp Engn, Saskatoon, SK S7N 5A9, Canada
关键词
Robust filtering; Energy-to-peak filtering; Finsler's lemma; Linear matrix inequalities; PARAMETER-DEPENDENT APPROACH; H-INFINITY; DESIGN; H-2;
D O I
10.1016/j.sigpro.2010.03.011
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 investigates the problem of energy-to-peak filtering for both discrete-time and continuous-time systems with polyhedral uncertainties in the state-space equations. By increasing the flexible dimensions in the solution space for the energy-to-peak optimization, less conservative results on the robust energy-to-peak filtering are obtained. The filter parameters can be readily designed by solving a set of parameter-dependent linear matrix inequalities (LMIs). In comparison with the existing methods, the improvement of the proposed method over the existing results is shown via two numerical examples. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:2667 / 2675
页数:9
相关论文
共 35 条
[1]  
[Anonymous], 2022, SURG
[2]   H∞ Unbiased Filtering for Linear Descriptor Systems via LMI [J].
Darouach, M. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (08) :1966-1972
[3]   A new discrete-time robust stability conditions [J].
de Oliveira, MC ;
Bernussou, J ;
Geromel, JC .
SYSTEMS & CONTROL LETTERS, 1999, 37 (04) :261-265
[4]   Investigating duality on stability conditions [J].
de Oliveira, MC .
SYSTEMS & CONTROL LETTERS, 2004, 52 (01) :1-6
[5]   Mode-independent H∞ filters for Markovian jump linear systems [J].
de Souza, Carlos E. ;
Trofino, Alexandre ;
Barbosa, Karina A. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (11) :1837-1841
[6]   Robust H2 and H∞ filtering for uncertain linear systems [J].
Duan, Zhisheng ;
Zhang, Jingxin ;
Zhangc, Cishen ;
Mosca, Edoardo .
AUTOMATICA, 2006, 42 (11) :1919-1926
[7]   Robust energy-to-peak filtering with improved LMI representations [J].
Gao, H ;
Wang, C .
IEE PROCEEDINGS-VISION IMAGE AND SIGNAL PROCESSING, 2003, 150 (02) :82-89
[8]   Robust energy-to-peak filter design for stochastic time-delay systems [J].
Gao, HJ ;
Lam, J ;
Wang, CH .
SYSTEMS & CONTROL LETTERS, 2006, 55 (02) :101-111
[9]   A Parameter-Dependent Approach to Robust H∞ Filtering for Time-Delay Systems [J].
Gao, Huijun ;
Meng, Xiangyu ;
Chen, Tongwen .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (10) :2420-2425
[10]   H∞ Filtering of Discrete-Time Markov Jump Linear Systems Through Linear Matrix Inequalities [J].
Goncalves, Alim P. C. ;
Fioravanti, Andre R. ;
Geromel, Jose C. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (06) :1347-1351