H 2 optimal decoupling of previewed signals in the discrete-time case

Giovanni Marro; Domenico Prattichizzo; Elena Zattoni

Kybernetika (2002)

  • Volume: 38, Issue: 4, page [479]-492
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Marro, Giovanni, Prattichizzo, Domenico, and Zattoni, Elena. "$H_2$ optimal decoupling of previewed signals in the discrete-time case." Kybernetika 38.4 (2002): [479]-492. <http://eudml.org/doc/33597>.

@article{Marro2002,
abstract = {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.},
author = {Marro, Giovanni, Prattichizzo, Domenico, Zattoni, Elena},
journal = {Kybernetika},
keywords = {optimal decoupling of signal; discrete-time system; optimal decoupling of signal; discrete-time system},
language = {eng},
number = {4},
pages = {[479]-492},
publisher = {Institute of Information Theory and Automation AS CR},
title = {$H_2$ optimal decoupling of previewed signals in the discrete-time case},
url = {http://eudml.org/doc/33597},
volume = {38},
year = {2002},
}

TY - JOUR
AU - Marro, Giovanni
AU - Prattichizzo, Domenico
AU - Zattoni, Elena
TI - $H_2$ optimal decoupling of previewed signals in the discrete-time case
JO - Kybernetika
PY - 2002
PB - Institute of Information Theory and Automation AS CR
VL - 38
IS - 4
SP - [479]
EP - 492
AB - 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.
LA - eng
KW - optimal decoupling of signal; discrete-time system; optimal decoupling of signal; discrete-time system
UR - http://eudml.org/doc/33597
ER -

References

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