Optimal guaranteed cost filtering for uncertain discrete-time linear systems

被引:0
|
作者
Petersen, IR [1 ]
McFarlane, DC [1 ]
机构
[1] UNIV CAMBRIDGE,DEPT ENGN,MFG ENGN GRP,CAMBRIDGE CB2 1RX,ENGLAND
关键词
uncertain systems; robust state estimation; Kalman filtering; discrete-time systems;
D O I
10.1002/(SICI)1099-1239(199605)6:4<267::AID-RNC232>3.0.CO;2-3
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 presents a result on the design of a steady-state robust state estimator for a class of uncertain discrete-time linear systems with normal bounded uncertainty. This result extends the steady state Kalman filter to the case in which the underlying system is uncertain. A procedure is given for the construction of a state estimator which minimizes a bound on the state error covariance. It is shown that this leads to a state estimator which is optimal with respect to a notion of quadratic guaranteed cost state estimation.
引用
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页码:267 / 280
页数:14
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