A sliding mode observer with homogeneous estimation error for a class of linear time-invariant systems.

Merlin Octavio Maravilla-Castro,Jorge Davila

2023 AMERICAN CONTROL CONFERENCE, ACC（2023）

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Abstract

This article presents a robust observer for a class of continuous-time linear time-invariant systems affected by unknown inputs. The sufficient conditions under which this observer allows the estimation error to possess the homogeneity property are studied. Furthermore, the observer algorithm comprises a linear compensation term that enables the observer nonlinear output injection term to provide global finite-time convergence despite bounded unknown inputs and system instability.

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Key words

bounded unknown inputs,continuous-time linear time-invariant systems,global finite-time convergence,homogeneity property,homogeneous estimation error,linear compensation term,observer algorithm,observer nonlinear output injection term,robust observer,sliding mode observer,sufficient conditions,system instability

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