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Title
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Robust generalized filtering of uncertain nonlinear systems under measurement delays
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Sub-Title |
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Subject |
Generalized filter design; Delay-rangedependency; Lipschitz condition; Robust estimation; L2 gain; Output delay
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Sub-Subject |
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Author |
S. Ahmad, M. Rehan and M. Iqbal
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Publish Year |
2018 |
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Diss#. |
10.1007/s11071-018-4147-8 |
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Pages |
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Text Language |
English |
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Accession |
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Library Section |
Research Article |
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Abstract |
In the present study, a generalized structure
for the robust filtering, which adequately addresses
both the dynamic and the static-gain filter structures, is
accounted for the uncertain Lipschitz nonlinear systems
with the measurement delays, parametric uncertainties,
and disturbances. The proposed robust filtering
approach uses a Lyapunov–Krasovskii functional with
a specialized stipulation for dealing with the measurement
lags, employs a delay-range-dependent stability
method for tackling the delayed dynamics, applies the
upper bounds on norms of the uncertainties to deal
with parametric variations, and explores the L2 stability
condition to handle the exogenous perturbations. The
nonlinear dynamics is tempered by the direct infusion
of the Lipschitz continuity, and uncertainties are modeled
using bounds on the uncertain matrices norms to
render a linear matrix inequality (LMI)-based design.
The proposed filtering approaches establish the L2 stability
for the filtering error and effi
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