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.

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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 
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     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/}
}
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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. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2020-4-0810/

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