We introduce the notion of incremental generalized homogeneity, giving new results on observer design for systems with bounded trajectories and putting into a unifying framework constructive results for triangular (feedback/ feedforward) and homogeneous systems. An asymptotic state observer is designed by dominating the generalized homogeneity degree of the nonlinearities with the degree of the linear approximation of the observation error system. Incremental generalized homogeneity provides a high flexibility in the design of the observer gains and gives a systematic tool for the stabilization of systems with highly complex structures.
Generalized incremental homogeneity, incremental observability and global observer design / Battilotti, Stefano. - STAMPA. - (2011), pp. 2493-2498. (Intervento presentato al convegno 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 tenutosi a Orlando, FL; United States nel 12-15 Dicembre) [10.1109/cdc.2011.6160586].
Generalized incremental homogeneity, incremental observability and global observer design
BATTILOTTI, Stefano
2011
Abstract
We introduce the notion of incremental generalized homogeneity, giving new results on observer design for systems with bounded trajectories and putting into a unifying framework constructive results for triangular (feedback/ feedforward) and homogeneous systems. An asymptotic state observer is designed by dominating the generalized homogeneity degree of the nonlinearities with the degree of the linear approximation of the observation error system. Incremental generalized homogeneity provides a high flexibility in the design of the observer gains and gives a systematic tool for the stabilization of systems with highly complex structures.File | Dimensione | Formato | |
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