Compensator Design Via the Separation Principle for a Class of Semilinear Evolution Equations

Autor: Hanen Damak
Rok vydání: 2023
Předmět:
Zdroj: Ukrainian Mathematical Journal. 74:1225-1239
ISSN: 1573-9376
0041-5995
DOI: 10.1007/s11253-023-02131-8
Popis: 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.
Databáze: OpenAIRE