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Title
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Generalized filtering of one-sided Lipschitz nonlinear systems under measurement delays
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Sub-Title |
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Subject |
-
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Author |
S. Ahmad and M. Rehan
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Publish Year |
2017 |
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Diss#. |
10.1016/j.jfranklin.2017.06.016 |
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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 |
This paper addresses the filtering problem for the one-sided Lipschitz nonlinear systems under measurement
delays and disturbances using a generalized observer. A generalized architecture for filtering
of the one-sided Lipschitz nonlinear systems with output delays is explored, which exhibits diverging
manifolds, namely, the conventional static-gain filter and the dynamical filter, and can be employed to
render robust stability of the filtering error dynamics. A matrix inequality based framework is obtained
by employing a Lyapunov −Krasovskii (LK) functional, whose derivative is exploited through Jensen’s
inequality, one-sided Lipschitz condition, quadratic inner-boundedness inequality and range of the measurement
delay, resulting into L 2 stability for the filtering error system. Generalized filter design for the
Lipschitz nonlinear systems with delayed outputs and specific results for the delay-dependent and delayrate-
independent filtering schemes for the one-sided Lipschitz nonline
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