@ARTICLE{Badri_Fatma_On_2024, author={Badri, Fatma and Damak, Hanen and Hammami, Mohamed Ali}, volume={vol. 34}, number={No 1}, journal={Archives of Control Sciences}, pages={5-22}, howpublished={online}, year={2024}, publisher={Committee of Automatic Control and Robotics PAS}, abstract={This paper investigates the Luenberger observer design problem for non-autonomous control semilinear evolution equations with disturbances in Banach spaces. Then, the practicalstabilization 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 estimatedstate 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.}, type={Article}, title={On observer compensator design for non-autonomous control semi-linear evolution equations}, URL={http://ochroma.man.poznan.pl/Content/130761/art01_int.pdf}, doi={10.24425/acs.2024.149649}, keywords={compensator design, non-autonomous control semilinear evolution equations, practical stabilization, practical Luenberger observer}, }