Event-triggered $H_\infty $ static output feedback control of discrete time piecewise-affine systems
Kybernetika, Tome 57 (2021) no. 3, pp. 513-533
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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.
DOI :
10.14736/kyb-2021-3-0513
Classification :
65Z99, 93D09
Keywords: event-triggered control; output feedback control; linear matrix inequality
Keywords: event-triggered control; output feedback control; linear matrix inequality
@article{10_14736_kyb_2021_3_0513,
author = {Xue, Zhuyun and Shen, Mouquan},
title = {Event-triggered $H_\infty $ static output feedback control of discrete time piecewise-affine systems},
journal = {Kybernetika},
pages = {513--533},
publisher = {mathdoc},
volume = {57},
number = {3},
year = {2021},
doi = {10.14736/kyb-2021-3-0513},
mrnumber = {4299461},
zbl = {07442522},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2021-3-0513/}
}
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 SP - 513 EP - 533 VL - 57 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2021-3-0513/ DO - 10.14736/kyb-2021-3-0513 LA - en ID - 10_14736_kyb_2021_3_0513 ER -
%0 Journal Article %A Xue, Zhuyun %A Shen, Mouquan %T Event-triggered $H_\infty $ static output feedback control of discrete time piecewise-affine systems %J Kybernetika %D 2021 %P 513-533 %V 57 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2021-3-0513/ %R 10.14736/kyb-2021-3-0513 %G en %F 10_14736_kyb_2021_3_0513
Xue, Zhuyun; Shen, Mouquan. Event-triggered $H_\infty $ static output feedback control of discrete time piecewise-affine systems. Kybernetika, Tome 57 (2021) no. 3, pp. 513-533. doi: 10.14736/kyb-2021-3-0513
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