On observer compensator design for non-autonomous control semi-linear evolution equations

• Autorzy: Badri Fatma , Damak Hanen , Hammami Mohamed Ali

Identyfikatory

DOI

10.24425/acs.2024.149649

• Języki publikacji: EN

Abstrakty

EN

This paper investigates the Luenberger observer design problem for non-autonomous control semilinear evolution equations with disturbances in Banach spaces. Then, the practical stabilization problem of the system is solved, yielding a compensator based on the Luenberger observer by using integral inequalities of the Gronwall type. Sufficient conditions of the controller and observer problem are satisfied, we show that the proposed controller with estimated state feedback from the proposed practical Luenberger observer will achieve global practical stabilization. We develop novel ideas and techniques, which present the further development of mathematical control theory. Furthermore, an example is given to show the applicability of our theoretical results.

Słowa kluczowe

EN

compensator design; non-autonomous control semilinear evolution equations; practical stabilization; practical Luenberger observer

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2024
• Tom: Vol. 34, No. 1
• Strony: 5--22
• Opis fizyczny: Bibliogr. 28 poz., wzory

Twórcy

autor

Badri Fatma

• Faculty of Sciences of Sfax, Department of Mathematics, Sfax, Tunisia

autor

Damak Hanen

• Preparatory Engineering Institute of Sfax, Department of Mathematics, Sfax, Tunisia

autor

Hammami Mohamed Ali

• Faculty of Sciences of Sfax, Department of Mathematics, Sfax, Tunisia

Bibliografia

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