Istituto di Studi sui Sistemi Intelligenti per l'Automazione     
Alessandri A., Baglietto M., Battistelli G. Design of state estimators for uncertain linear systems using quadratic boundedness. In: Automatica, vol. 42 (3) pp. 497 - 502. Elsevier, 2006.
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.
DOI: 10.1016/j.automatica.2005.10.013
Subject State estimation
Robust filtering
Uncertain linear systems
Linear matrix inequalities
Set invariance

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