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Nonlinear High Gain Separation Principles and Fast Sampling Results ensuring Robust Stability

Nonlinear High Gain Separation Principles and Fast Sampling Results ensuring Robust Stability
Nonlinear High Gain Separation Principles and Fast Sampling Results ensuring Robust Stability
A semi-global nonlinear separation principle is described which presents conditions under which a stabilizing controller based on the output and its derivatives (typically the state or partial state) can be replaced by a controller based on measurement of the output only. The results include the case of high gain observer reconstruction of the output derivatives and the case of approximating the output derivatives via numerical derivatives for which various realizable schemes based on discrete sampling are given. The same sampling constructions and results are also applied directly to the output measurement itself, giving rise to fast sampling theorems. The proofs are based on estimating gap distances between the original controller and the reconstructed approximation and conditions based on the robust stability margin.
0018-9286
French, Mark
22958f0e-d779-4999-adf6-2711e2d910f8
Mueller, Markus
9abd38e5-470e-479e-ba71-3e0a627431be
French, Mark
22958f0e-d779-4999-adf6-2711e2d910f8
Mueller, Markus
9abd38e5-470e-479e-ba71-3e0a627431be

French, Mark and Mueller, Markus (2008) Nonlinear High Gain Separation Principles and Fast Sampling Results ensuring Robust Stability IEEE Transactions on Automatic Control

Record type: Article

Abstract

A semi-global nonlinear separation principle is described which presents conditions under which a stabilizing controller based on the output and its derivatives (typically the state or partial state) can be replaced by a controller based on measurement of the output only. The results include the case of high gain observer reconstruction of the output derivatives and the case of approximating the output derivatives via numerical derivatives for which various realizable schemes based on discrete sampling are given. The same sampling constructions and results are also applied directly to the output measurement itself, giving rise to fast sampling theorems. The proofs are based on estimating gap distances between the original controller and the reconstructed approximation and conditions based on the robust stability margin.

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Submitted date: 7 November 2008
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 266885
URI: http://eprints.soton.ac.uk/id/eprint/266885
ISSN: 0018-9286
PURE UUID: 4d709f26-3c59-48b8-803b-405aba282b65

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Date deposited: 07 Nov 2008 15:38
Last modified: 18 Jul 2017 07:11

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Contributors

Author: Mark French
Author: Markus Mueller

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