Title
An innovation approach to H∞ fixed-lag smoothing for continuous time-varying systems
Abstract
This note studies the finite horizon H∞ fixed-lag smoothing problem for linear continuous time-varying systems. A technique named as reorganized innovation analysis in Krein space is developed to give a necessary and sufficient condition for the existence of an H∞ fixed-lag smoother. The condition is given in terms of the boundedness of two matrix functions which are derived from the solutions of two Riccati differential equations (RDEs), one standard H∞ filtering RDE and one H2 type of RDE. Examples demonstrate the proposed H∞ fixed-lag smoother design and the fact that the existence of an H∞ smoother does not depend on the solvability of H∞ filtering.
Year
DOI
Venue
2004
10.1109/TAC.2004.838493
IEEE Trans. Automat. Contr.
Keywords
DocType
Volume
Riccati differential equations,finite horizon H∞ fixed-lag smoothing problem,Krein space,innovation analysis,continuous-time systems,H∞ control,time-varying systems,control system synthesis,matrix algebra,riccati equation,matrix functions,krein space,linear continuous time-varying systems,reorganized innovation analysis,continuous time systems,Riccati equations,linear systems,h∞ fixed-lag smoothing
Journal
49
Issue
ISSN
Citations 
12
0018-9286
2
PageRank 
References 
Authors
0.60
2
4
Name
Order
Citations
PageRank
Huanshui Zhang11031109.17
Lihua Xie25686405.63
Wei Wang31167.61
lu xiao412314.27