Title
Design of state estimators for uncertain linear systems using quadratic boundedness
Abstract
The notion of quadratic boundedness, which allows one to address the stability of a dynamic system in the presence of bounded disturbances, is applied to the design of state estimators for discrete-time linear systems with polytopic uncertainties. Necessary and sufficient stability conditions are stated and upper bounding sequences on the estimation error are derived. For the purpose of design, such conditions can be expressed in terms of linear matrix inequalities (LMIs), thus guaranteeing the numerical tractability. Simulation results are reported to show the effectiveness of the approach.
Year
DOI
Venue
2006
10.1016/j.automatica.2005.10.013
Automatica
Keywords
Field
DocType
State estimation,Robust filtering,Uncertain linear systems,Linear matrix inequalities,Set invariance
Mathematical optimization,Linear system,Matrix (mathematics),Control theory,Quadratic equation,Stability conditions,Robust filtering,Mathematics,Bounded function,Bounding overwatch,Estimator
Journal
Volume
Issue
ISSN
42
3
0005-1098
Citations 
PageRank 
References 
29
1.06
3
Authors
3
Name
Order
Citations
PageRank
Angelo Alessandri132330.46
Marco Baglietto221516.91
Giorgio Battistelli362346.03