Title
State estimation for linear switched systems with unstable invariant zeros and unknown inputs
Abstract
In this paper the problem of continuous and discrete state estimation for a class of linear switched systems is studied. The class of systems under study can contain nonminimum phase zeros in some of their “operating modes”. The conditions for exact reconstruction of the discrete state are given using structural properties of the switched system. The state-space is decomposed into the strongly observable part, the nonstrongly observable part and the unobservable part, to analyze the effect of the unknown inputs. A state observer based on high-order sliding-mode and Luenberger-like observers is proposed. For the case when the exact reconstruction of the state cannot be achieved, the ultimate bounds on the estimation errors are provided. The workability of the proposed method is illustrated by simulations.
Year
DOI
Venue
2012
10.1109/CDC.2012.6426455
Decision and Control
Keywords
Field
DocType
continuous systems,discrete systems,estimation theory,linear systems,observers,state-space methods,time-varying systems,variable structure systems,Luenberger-like observer,continuous state estimation,discrete state estimation,estimation error,high-order sliding-mode,linear switched system,nonminimum phase zero,operating mode,state observer,state reconstruction,state-space,structural properties,unstable invariant zero,High-order Sliding Modes,Linear Switched Systems,Non-minimum Phase,State Observers
State observer,Mathematical optimization,Observable,Linear system,Control theory,Invariant (mathematics),State variable,Estimation theory,Unobservable,State space,Mathematics
Conference
ISSN
ISBN
Citations 
0743-1546 E-ISBN : 978-1-4673-2064-1
978-1-4673-2064-1
1
PageRank 
References 
Authors
0.36
7
4
Name
Order
Citations
PageRank
Héctor Ríos18615.20
J. Davila223819.16
Leonid M. Fridman31999211.93
Denis Efimov414714.88