Title :
PF-stable estimators for nonlinear systems
Author :
Alessandri, A. ; Sanguineti, M.
Author_Institution :
Naval Autom. Inst., Genoa, Italy
Abstract :
The stability of filters for nonlinear dynamic systems with Lipschitz nonlinearities is addressed. By considering the disturbances in the system and measurement equations as the inputs to the system representing the estimation error dynamics, the input-output stability of the filtering mapping associated with the estimation error dynamics is introduced. This is done with respect to signals belonging a Sobolev space W. The connection between W-stability and asymptotic stability (based on the existence of a suitable Lyapunov function) of the filtering mapping is investigated.
Keywords :
Lyapunov methods; asymptotic stability; control nonlinearities; nonlinear dynamical systems; Lipschitz nonlinearities; Lyapunov function; Sobolev space; W-stable estimator; asymptotic stability; estimation error dynamics; filter stability; filtering mapping; input-output stability; nonlinear dynamic system; Asymptotic stability; Equations; Estimation error; Measurement uncertainty; Nonlinear dynamical systems; Stability analysis; Estimation; nonlinear observers; stability analysis of nonlinear systems;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2
