In this paper, a technique is given to estimate the basin of attraction of a 'practical' high-gain observer for polynomial autonomous systems. Such a goal is pursued by determining a set such that the restriction of the observability map of the system to such a set is a diffeomorphism. Differently from other techniques available in the literature, which are based on the numeric computation of the trajectories of a system corresponding to the observability map, the proposed procedure provides exact certificates of invertibility of the observability map. The application of the proposed method to the design of a nonlinear observer is discussed.
Menini, L., Possieri, C., Tornambè, A. (2018). Estimation of the basin of attraction of a practical high-gain observer. In 2018 European Control Conference, ECC 2018 (pp.1238-1243). Institute of Electrical and Electronics Engineers Inc. [10.23919/ECC.2018.8550220].
Estimation of the basin of attraction of a practical high-gain observer
Menini, Laura;Possieri, Corrado;Tornambè, Antonio
2018-01-01
Abstract
In this paper, a technique is given to estimate the basin of attraction of a 'practical' high-gain observer for polynomial autonomous systems. Such a goal is pursued by determining a set such that the restriction of the observability map of the system to such a set is a diffeomorphism. Differently from other techniques available in the literature, which are based on the numeric computation of the trajectories of a system corresponding to the observability map, the proposed procedure provides exact certificates of invertibility of the observability map. The application of the proposed method to the design of a nonlinear observer is discussed.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
