We introduce the notion of incremental generalized homogeneity, giving new results on semiglobal stabilization by output feedback and observer design and putting into a unifying framework the stabilization design for triangular (feedback/feedforward forms) and homogeneous systems. A state feedback controller and an asymptotic state observer are designed separately and an output feedback controller is obtained according to a certainty-equivalence principle. Generalized homogeneity introduces a high flexibility in the choice of the controller/observer gains and gives a systematic tool for the stabilization of systems with highly complex structures.

Incremental Generalized Homogeneity of Nonlinear Systems / Battilotti, Stefano. - STAMPA. - 44:1(2011), pp. 4648-4653. (Intervento presentato al convegno 18th IFAC World Conference tenutosi a Milano; Italy nel 28 Agosto - 31 Agosto) [10.3182/20110828-6-it-1002.00644].

Incremental Generalized Homogeneity of Nonlinear Systems

BATTILOTTI, Stefano
2011

Abstract

We introduce the notion of incremental generalized homogeneity, giving new results on semiglobal stabilization by output feedback and observer design and putting into a unifying framework the stabilization design for triangular (feedback/feedforward forms) and homogeneous systems. A state feedback controller and an asymptotic state observer are designed separately and an output feedback controller is obtained according to a certainty-equivalence principle. Generalized homogeneity introduces a high flexibility in the choice of the controller/observer gains and gives a systematic tool for the stabilization of systems with highly complex structures.
2011
18th IFAC World Conference
Generalized homogeneity; I/O immersions; Output feedback
04 Pubblicazione in atti di convegno::04b Atto di convegno in volume
Incremental Generalized Homogeneity of Nonlinear Systems / Battilotti, Stefano. - STAMPA. - 44:1(2011), pp. 4648-4653. (Intervento presentato al convegno 18th IFAC World Conference tenutosi a Milano; Italy nel 28 Agosto - 31 Agosto) [10.3182/20110828-6-it-1002.00644].
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