Compensator design via the separation principle for a class of semilinear evolution equations

Keywords: Practical stabilization, Practical observer, Compensator design, Semilinear evolution equations.

Abstract

UDC 517.9

We establish a compensator design via the separation principle in the practical sense for a class of semilinear evolution equations in Hilbert spaces. Under a restriction imposed on the perturbation, which is bounded by an integrable function, we propose a nonlinear time-varying practical Luenberger observer to estimate the states of the system and prove that the Luenberger observer based on the linear controller stabilizes the system. An illustrative example is given to demonstrate the applicability of our theoretical results.

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Published
04.10.2022
How to Cite
DamakH. “Compensator Design via the Separation Principle for a Class of Semilinear Evolution Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, no. 8, Oct. 2022, pp. 1073 -85, doi:10.37863/umzh.v74i8.6152.
Section
Research articles