Geodesic
$H_2$ optimal decoupling of previewed signals in the discrete-time case
Kybernetika, Tome 38 (2002) no. 4, p. [479].

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The synthesis of a feedforward unit for $H_2$ optimal decoupling of measurable or previewed signals in discrete-time linear time-invariant systems is considered. It is shown that an $H_2$ optimal compensator can be achieved by connecting a finite impulse response (FIR) system and a stable dynamic unit. To derive the FIR system convolution profiles an easily implementable computational scheme based on pseudoinversion (possibly nested to avoid computational constraints) is proposed, while the dynamic unit is derived by solving a standard LQR problem, in general cheap or singular.
Classification : 93B36, 93C55, 93C62, 93E12
Keywords: optimal decoupling of signal; discrete-time system 
@article{KYB_2002__38_4_a6,
     author = {Marro, Giovanni and Prattichizzo, Domenico and Zattoni, Elena},
     title = {$H_2$ optimal decoupling of previewed signals in the discrete-time case},
     journal = {Kybernetika},
     pages = {[479]},
     publisher = {mathdoc},
     volume = {38},
     number = {4},
     year = {2002},
     mrnumber = {1937142},
     zbl = {1265.93177},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2002__38_4_a6/}
}
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Marro, Giovanni; Prattichizzo, Domenico; Zattoni, Elena. $H_2$ optimal decoupling of previewed signals in the discrete-time case. Kybernetika, Tome 38 (2002) no. 4, p. [479]. http://geodesic.mathdoc.fr/item/KYB_2002__38_4_a6/