Compensator Design Via the Separation Principle for a Class of Nonlinear Uncertain Evolution Equations on a Hilbert Space

Hanen Damak

doi:10.1007/978-3-030-92731-8_6

Compensator Design Via the Separation Principle for a Class of Nonlinear Uncertain Evolution Equations on a Hilbert Space

Hanen Damak

https://doi.org/10.1007/978-3-030-92731-8_6

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Publication Date: Jan 1, 2022

Citations: 1

Affiliation: University of Sfax

#Evolution Equations In Hilbert Spaces #Equations In Hilbert Spaces + Show 8 more

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Abstract

AbstractThe compensator design via the separation principle for evolution equations in Hilbert spaces has been the subject of several studies. Under uniformly Lipschitz continuous perturbation, we propose a non-linear time-varying Luenberger observer to estimate the system states and we prove that the Luenberger observer based on linear controller stabilizes the system. These results are applied to partial differential equations.KeywordsCompensator designLuenberger observerHilbert spacesUncertain evolution equationsStabilization2000 Mathematics Subject Classification93C1093C2593B15

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