A necessary and sufficient condition for static output feedback stabilizability of linear discrete-time systems

Danica Rosinová; Vojtech Veselý; Vladimír Kučera

Kybernetika (2003)

  • Volume: 39, Issue: 4, page [447]-459
  • ISSN: 0023-5954

Abstract

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Necessary and sufficient conditions for a discrete-time system to be stabilizable via static output feedback are established. The conditions include a Riccati equation. An iterative as well as non-iterative LMI based algorithm with guaranteed cost for the computation of output stabilizing feedback gains is proposed and introduces the novel LMI approach to compute the stabilizing output feedback gain matrix. The results provide the discrete- time counterpart to the results by Kučera and De Souza.

How to cite

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Rosinová, Danica, Veselý, Vojtech, and Kučera, Vladimír. "A necessary and sufficient condition for static output feedback stabilizability of linear discrete-time systems." Kybernetika 39.4 (2003): [447]-459. <http://eudml.org/doc/33656>.

@article{Rosinová2003,
abstract = {Necessary and sufficient conditions for a discrete-time system to be stabilizable via static output feedback are established. The conditions include a Riccati equation. An iterative as well as non-iterative LMI based algorithm with guaranteed cost for the computation of output stabilizing feedback gains is proposed and introduces the novel LMI approach to compute the stabilizing output feedback gain matrix. The results provide the discrete- time counterpart to the results by Kučera and De Souza.},
author = {Rosinová, Danica, Veselý, Vojtech, Kučera, Vladimír},
journal = {Kybernetika},
keywords = {discrete-time systems; output feedback; stabilizability; stabilizing feedback; Riccati equations; LMI approach; discrete-time system; output feedback; stabilizability; stabilizing feedback; Riccati equation; LMI approach},
language = {eng},
number = {4},
pages = {[447]-459},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A necessary and sufficient condition for static output feedback stabilizability of linear discrete-time systems},
url = {http://eudml.org/doc/33656},
volume = {39},
year = {2003},
}

TY - JOUR
AU - Rosinová, Danica
AU - Veselý, Vojtech
AU - Kučera, Vladimír
TI - A necessary and sufficient condition for static output feedback stabilizability of linear discrete-time systems
JO - Kybernetika
PY - 2003
PB - Institute of Information Theory and Automation AS CR
VL - 39
IS - 4
SP - [447]
EP - 459
AB - Necessary and sufficient conditions for a discrete-time system to be stabilizable via static output feedback are established. The conditions include a Riccati equation. An iterative as well as non-iterative LMI based algorithm with guaranteed cost for the computation of output stabilizing feedback gains is proposed and introduces the novel LMI approach to compute the stabilizing output feedback gain matrix. The results provide the discrete- time counterpart to the results by Kučera and De Souza.
LA - eng
KW - discrete-time systems; output feedback; stabilizability; stabilizing feedback; Riccati equations; LMI approach; discrete-time system; output feedback; stabilizability; stabilizing feedback; Riccati equation; LMI approach
UR - http://eudml.org/doc/33656
ER -

References

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  11. Trinh H., Aldeen M., Design of suboptimal decentralized output feedback controllers for interconnected power system, In: Proc. IMACS Symposium Modeling and Control of Technological System, Casablanca 1991, Vol. 1, pp. 313–319 (1991) 
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