TY - JOUR N2 - A kind of generalized proportional-integral(GPI) observer for descriptor linear systems is introduced. We first propose two complete parametric solutions to generalized Sylvester matrix equation corresponding to the left eigenvector matrices in the case of Jordan form. Then a parametric design approach for the observer is presented. The proposed method provides all parametric expression of the gain matrices and the corresponding finite left eigenvector matrix and guarantees the regularity and impulse-freeness of the expanded error system. Two numerical examples are given to explain the design procedure and illustrate the effectiveness of the proposed method. L1 - http://journals.pan.pl/Content/114624/PDF/ACS-2019-4-2.pdf L2 - http://journals.pan.pl/Content/114624 PY - 2019 IS - No 4 EP - 601 DO - 10.24425/acs.2019.131227 KW - generalized proportional-integral observer KW - Sylvester matrix equation KW - regularity KW - impulse-freeness A1 - Wang, Xin-Tao A1 - Yu, Hai-Hua PB - Committee of Automatic Control and Robotics PAS VL - vol. 29 DA - 2019.11.28 T1 - Generalized PI observer design for descriptor linear system SP - 585 UR - http://journals.pan.pl/dlibra/publication/edition/114624 T2 - Archives of Control Sciences ER -