Uniting Observers

We propose a framework for designing observers possessing global convergence properties and desired asymptotic behaviors for the state estimation of nonlinear systems. The proposed scheme consists in combining two given continuous-time observers: One, denoted as global, ensures (approximate) converg...

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Veröffentlicht in:IEEE transactions on automatic control 2020-07, Vol.65 (7), p.2867-2882
Hauptverfasser: Astolfi, Daniele, Postoyan, Romain, Nesic, Dragan
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container_title IEEE transactions on automatic control
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creator Astolfi, Daniele
Postoyan, Romain
Nesic, Dragan
description We propose a framework for designing observers possessing global convergence properties and desired asymptotic behaviors for the state estimation of nonlinear systems. The proposed scheme consists in combining two given continuous-time observers: One, denoted as global, ensures (approximate) convergence of the estimation error for any initial condition ranging in some prescribed set, while the other, denoted as local, guarantees a desired local behavior. We make assumptions on the properties of these two observers, and not on their structures, and then explain how to unite them as a single scheme using hybrid techniques. Two case studies are provided to demonstrate the applicability of the framework. Finally, a numerical example is presented.
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subjects Asymptotic properties
Automation & Control Systems
Computer Science
Convergence
Engineering
Engineering, Electrical & Electronic
Estimation error
Extended Kalman filters (EKF)
hybrid systems
local performances
Noise measurement
Nonlinear systems
Observers
Science & Technology
State estimation
Switches
Systems and Control
Technology
Time-domain analysis
title Uniting Observers
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