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

H. Damak

doi:10.37863/umzh.v74i8.6152

H. Damak Univ. Sfax, Tunisia https://orcid.org/0000-0003-4155-9962

DOI: https://doi.org/10.37863/umzh.v74i8.6152

Анотація

UDC 517.9
Розробка компенсатора за принципом подiлудля класу напiвлiнiйних еволюцiйних рiвнянь

Встановлено схему компенсатора через принцип подiлу в практичному сенсi для класу напiвлiнiйних еволюцiйних рiвнянь в гiльбертових просторах. За умов обмеження на збурення, яке обмежене iнтегровною функцiєю, запропоновано застосовувати нелiнiйного змiнного у часi практичного спостерiгача Люенбергера для оцiнки станiв системи та доведено, що спостерiгач Люенбергера на основi лiнiйного регулятора стабiлiзує систему. Наведено наочний приклад, що демонструє можливiсть застосування наших теоретичних результатiв.

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