Geodesic
A deterministic LQ tracking problem: parametrisation of the controller
Kybernetika, Tome 38 (2002) no. 4, pp. 469-478

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The article discusses an optimal Linear Quadratic (LQ) deterministic control problem when the Youla–Kučera parametrisation of controller is used. We provide a computational procedure for computing a deterministic optimal single-input single-output (SISO) controller from any stabilising controller. This approach allows us to calculate a new optimal LQ deterministic controller from a previous one when the plant has changed. The design based on the Youla –Kučera parametrisation approach is compared to the classical LQ design.
The article discusses an optimal Linear Quadratic (LQ) deterministic control problem when the Youla–Kučera parametrisation of controller is used. We provide a computational procedure for computing a deterministic optimal single-input single-output (SISO) controller from any stabilising controller. This approach allows us to calculate a new optimal LQ deterministic controller from a previous one when the plant has changed. The design based on the Youla –Kučera parametrisation approach is compared to the classical LQ design.
Classification : 49N10, 93C55, 93C62, 93D21
Keywords: LQ deterministic control; tracking problem 
Čirka, Ľuboš; Mikleš, Ján; Fikar, Miroslav. A deterministic LQ tracking problem: parametrisation of the controller. Kybernetika, Tome 38 (2002) no. 4, pp. 469-478. http://geodesic.mathdoc.fr/item/KYB_2002_38_4_a5/
@article{KYB_2002_38_4_a5,
     author = {\v{C}irka, \v{L}ubo\v{s} and Mikle\v{s}, J\'an and Fikar, Miroslav},
     title = {A deterministic {LQ} tracking problem: parametrisation of the controller},
     journal = {Kybernetika},
     pages = {469--478},
     year = {2002},
     volume = {38},
     number = {4},
     mrnumber = {1937141},
     zbl = {1265.93174},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2002_38_4_a5/}
}
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