Geodesic
Fixed poles of $H_2$ optimal control by measurement feedback
Kybernetika, Tome 38 (2002) no. 5, pp. 631-642

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This paper is concerned with the flexibility in the closed loop pole location when solving the $H_2$ optimal control problem (also called the $H_2$ optimal disturbance attenuation problem) by proper measurement feedback. It is shown that there exists a precise and unique set of poles which is present in the closed loop system obtained by any measurement feedback solution of the $H_2$ optimal control problem. These “$H_2$ optimal fixed poles” are characterized in geometric as well as structural terms. A procedure to design $H_2$ optimal controllers which simultaneously freely assign all the remaining poles, is also provided.
This paper is concerned with the flexibility in the closed loop pole location when solving the $H_2$ optimal control problem (also called the $H_2$ optimal disturbance attenuation problem) by proper measurement feedback. It is shown that there exists a precise and unique set of poles which is present in the closed loop system obtained by any measurement feedback solution of the $H_2$ optimal control problem. These “$H_2$ optimal fixed poles” are characterized in geometric as well as structural terms. A procedure to design $H_2$ optimal controllers which simultaneously freely assign all the remaining poles, is also provided.
Classification : 49N10, 93B27, 93B36, 93B52, 93B55, 93B60
Keywords: measurement feedback solution; fixed pole 
Camart, Jean-François; del-Muro-Cuéllar, Basilio; Malabre, Michel. Fixed poles of $H_2$ optimal control by measurement feedback. Kybernetika, Tome 38 (2002) no. 5, pp. 631-642. http://geodesic.mathdoc.fr/item/KYB_2002_38_5_a10/
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     title = {Fixed poles of $H_2$ optimal control by measurement feedback},
     journal = {Kybernetika},
     pages = {631--642},
     year = {2002},
     volume = {38},
     number = {5},
     mrnumber = {1966951},
     zbl = {1265.93115},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2002_38_5_a10/}
}
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