Event-triggered H ∞ static output feedback control of discrete time piecewise-affine systems

Zhuyun Xue; Mouquan Shen

Kybernetika (2021)

  • Volume: 57, Issue: 3, page 513-533
  • ISSN: 0023-5954

Abstract

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This paper is concerned with the problem of H ∞ event-triggered output feedback control of discrete time piecewise-affine systems. Relying on system outputs, a piecewise-affine triggering condition is constructed to release communication burden. Resorting to piecewise Lyapunov functional and robust control techniques, sufficient conditions are built to ensure the closed-loop systems to be asymptotically stable with the prescribed H ∞ performance. By utilizing a separation strategy, the static output feedback controller is solved by means of linear matrix inequalities. The validity of the proposed method are demonstrated by numerical examples.

How to cite

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Xue, Zhuyun, and Shen, Mouquan. "Event-triggered $H_\infty $ static output feedback control of discrete time piecewise-affine systems." Kybernetika 57.3 (2021): 513-533. <http://eudml.org/doc/297523>.

@article{Xue2021,
abstract = {This paper is concerned with the problem of $H_\infty $ event-triggered output feedback control of discrete time piecewise-affine systems. Relying on system outputs, a piecewise-affine triggering condition is constructed to release communication burden. Resorting to piecewise Lyapunov functional and robust control techniques, sufficient conditions are built to ensure the closed-loop systems to be asymptotically stable with the prescribed $H_\infty $ performance. By utilizing a separation strategy, the static output feedback controller is solved by means of linear matrix inequalities. The validity of the proposed method are demonstrated by numerical examples.},
author = {Xue, Zhuyun, Shen, Mouquan},
journal = {Kybernetika},
keywords = {event-triggered control; output feedback control; linear matrix inequality},
language = {eng},
number = {3},
pages = {513-533},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Event-triggered $H_\infty $ static output feedback control of discrete time piecewise-affine systems},
url = {http://eudml.org/doc/297523},
volume = {57},
year = {2021},
}

TY - JOUR
AU - Xue, Zhuyun
AU - Shen, Mouquan
TI - Event-triggered $H_\infty $ static output feedback control of discrete time piecewise-affine systems
JO - Kybernetika
PY - 2021
PB - Institute of Information Theory and Automation AS CR
VL - 57
IS - 3
SP - 513
EP - 533
AB - This paper is concerned with the problem of $H_\infty $ event-triggered output feedback control of discrete time piecewise-affine systems. Relying on system outputs, a piecewise-affine triggering condition is constructed to release communication burden. Resorting to piecewise Lyapunov functional and robust control techniques, sufficient conditions are built to ensure the closed-loop systems to be asymptotically stable with the prescribed $H_\infty $ performance. By utilizing a separation strategy, the static output feedback controller is solved by means of linear matrix inequalities. The validity of the proposed method are demonstrated by numerical examples.
LA - eng
KW - event-triggered control; output feedback control; linear matrix inequality
UR - http://eudml.org/doc/297523
ER -

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