Title
Transient and Asymptotic Analysis of Discrete-Time H∞-Filters
Abstract
It is known that the finite-horizon H-infinity-filter exists provided that the solution of a suitable H-infinity Riccati Equation (DRE) exists and satisfies a 'feasibility' condition. In this paper, sufficient conditions ensuring feasibility and convergence to the steady-state stabilising solution are derived. In particular, convergence can be guaranteed if the initial condition of the DRE is not much greater than the stabilising solution. For a fixed value of the attenuation level gamma, the finite-horizon H-infinity-filter may fail to converge to the steady-state stabilising filter. Hence, a strategy employing a time-varying attenuation level gamma(t) is worked out so as to ensure both feasibility and convergence to the desired steady-state filter.
Year
DOI
Venue
1997
10.1016/S0947-3580(97)70089-X
European Journal of Control
Keywords
DocType
Volume
Convergence of solutions,Discrete-time systems,Finite-horizon filtering and control,H∞ filtering and control,Riccati equations
Journal
3
Issue
ISSN
Citations 
4
0947-3580
2
PageRank 
References 
Authors
0.88
0
3
Name
Order
Citations
PageRank
Paolo Bolzern130430.90
Patrizio Colaneri295090.11
G. de Nicolao324654.53