Geodesic
Robust PI-D controller design for descriptor systems using regional pole placement and/or $H_2$ performance
Kybernetika, Tome 56 (2020) no. 4, pp. 810-820

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

The paper deals with the problem of obtaining a robust PI-D controller design procedure for linear time invariant descriptor uncertain polytopic systems using the regional pole placement and/or $H_2$ criterion approach in the form of a quadratic cost function with the state, derivative state and plant input (QSR). In the frame of Lyapunov Linear Matrix Inequality (LMI) regional pole placement approach and/or $H_2$ quadratic cost function based on Bellman-Lyapunov equation, the designed novel design procedure guarantees the robust properties of closed-loop system with parameter dependent quadratic stability/quadratic stability. In the obtained design procedure the designer could use controller with different structures such as P, PI, PID, PI-D. For the PI-D's D-part of controller feedback the designer could choose any available output/state derivative variables of descriptor systems. Obtained design procedure is in the form of Bilinear Matrix Inequality (BMI). The effectiveness of the obtained results is demonstrated on two examples.
DOI : 10.14736/kyb-2020-4-0810
Classification : 93B51, 93B52, 93B55, 93B60
Keywords: descriptor system; robust PI-D controller; state derivative feedback; output feedback; pole placement 
@article{10_14736_kyb_2020_4_0810,
     author = {Vesel\'y, Vojtech and K\"or\"osi, Ladislav},
     title = {Robust {PI-D} controller design for descriptor systems using regional pole placement and/or $H_2$ performance},
     journal = {Kybernetika},
     pages = {810--820},
     publisher = {mathdoc},
     volume = {56},
     number = {4},
     year = {2020},
     doi = {10.14736/kyb-2020-4-0810},
     mrnumber = {4168537},
     zbl = {07286048},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2020-4-0810/}
}
TY  - JOUR
AU  - Veselý, Vojtech
AU  - Körösi, Ladislav
TI  - Robust PI-D controller design for descriptor systems using regional pole placement and/or $H_2$ performance
JO  - Kybernetika
PY  - 2020
SP  - 810
EP  - 820
VL  - 56
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2020-4-0810/
DO  - 10.14736/kyb-2020-4-0810
LA  - en
ID  - 10_14736_kyb_2020_4_0810
ER  - 
%0 Journal Article
%A Veselý, Vojtech
%A Körösi, Ladislav
%T Robust PI-D controller design for descriptor systems using regional pole placement and/or $H_2$ performance
%J Kybernetika
%D 2020
%P 810-820
%V 56
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2020-4-0810/
%R 10.14736/kyb-2020-4-0810
%G en
%F 10_14736_kyb_2020_4_0810
Veselý, Vojtech; Körösi, Ladislav. Robust PI-D controller design for descriptor systems using regional pole placement and/or $H_2$ performance. Kybernetika, Tome 56 (2020) no. 4, pp. 810-820. doi: 10.14736/kyb-2020-4-0810

Cité par Sources :