Robust H∞ filtering for a class of linear parameter-varying systems

被引：29
|
作者：
Mahmoud, MS [1 ]
Boujarwah, AS
机构：
[1] MSA Univ, Dokki, Egypt
[2] Kuwait Univ, Dept Comp Engn, Safat 13060, Kuwait
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 2001年 / 48卷 / 09期
关键词：
linear parameter-varyingsystems; quadratic stability; robust H-infinity filtering;
D O I：
10.1109/81.948442
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：
In this paper, we investigate the problem of H-infinity filtering for a class of linear parameter-varying (LPV) systems in which the state-space matrices depend affinely on time-varying parameters. We employ the notion of affine quadratic stability using parameter-dependent Lyapunov functionals. We develop a linear parameter-dependent filter such that the estimation error is affinely quadratically stable with a prescribed performance measure. It is established that the solvability conditions can be expressed by linear matrix inequalities which are then evaluated at the extreme points of the admissible parameter set. Simulation results of a typical example are presented.
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页码：1131 / 1138
页数：8
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