Non-fragile controllers for a class of time-delay nonlinear systems

Lubomír Bakule; Manuel de la Sen

Kybernetika (2009)

  • Volume: 45, Issue: 1, page 15-32
  • ISSN: 0023-5954

Abstract

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The paper deals with the synthesis of a non-fragile state controller with reduced design complexity for a class of continuous-time nonlinear delayed symmetric composite systems. Additive controller gain perturbations are considered. Both subsystems and interconnections include time-delays. A low-order control design system is first constructed. Then, stabilizing controllers with norm bounded gain uncertainties are designed for the control design system using linear matrix inequalities (LMIs) for both delay-independent and delay-dependent stability approaches. The main result shows that when such a non-fragile low-order controllers are implemented into each local controller of the decentralized controller for the global system, the global closed-loop systems are globally asymptotically stable.

How to cite

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Bakule, Lubomír, and Sen, Manuel de la. "Non-fragile controllers for a class of time-delay nonlinear systems." Kybernetika 45.1 (2009): 15-32. <http://eudml.org/doc/37661>.

@article{Bakule2009,
abstract = {The paper deals with the synthesis of a non-fragile state controller with reduced design complexity for a class of continuous-time nonlinear delayed symmetric composite systems. Additive controller gain perturbations are considered. Both subsystems and interconnections include time-delays. A low-order control design system is first constructed. Then, stabilizing controllers with norm bounded gain uncertainties are designed for the control design system using linear matrix inequalities (LMIs) for both delay-independent and delay-dependent stability approaches. The main result shows that when such a non-fragile low-order controllers are implemented into each local controller of the decentralized controller for the global system, the global closed-loop systems are globally asymptotically stable.},
author = {Bakule, Lubomír, Sen, Manuel de la},
journal = {Kybernetika},
keywords = {decentralized control; large scale complex systems; nonlinear systems; continuous-time systems; delay; reduced-order systems; decentralized control; large scale complex systems; nonlinear systems; continuous-time systems; delay; reduced-order systems},
language = {eng},
number = {1},
pages = {15-32},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Non-fragile controllers for a class of time-delay nonlinear systems},
url = {http://eudml.org/doc/37661},
volume = {45},
year = {2009},
}

TY - JOUR
AU - Bakule, Lubomír
AU - Sen, Manuel de la
TI - Non-fragile controllers for a class of time-delay nonlinear systems
JO - Kybernetika
PY - 2009
PB - Institute of Information Theory and Automation AS CR
VL - 45
IS - 1
SP - 15
EP - 32
AB - The paper deals with the synthesis of a non-fragile state controller with reduced design complexity for a class of continuous-time nonlinear delayed symmetric composite systems. Additive controller gain perturbations are considered. Both subsystems and interconnections include time-delays. A low-order control design system is first constructed. Then, stabilizing controllers with norm bounded gain uncertainties are designed for the control design system using linear matrix inequalities (LMIs) for both delay-independent and delay-dependent stability approaches. The main result shows that when such a non-fragile low-order controllers are implemented into each local controller of the decentralized controller for the global system, the global closed-loop systems are globally asymptotically stable.
LA - eng
KW - decentralized control; large scale complex systems; nonlinear systems; continuous-time systems; delay; reduced-order systems; decentralized control; large scale complex systems; nonlinear systems; continuous-time systems; delay; reduced-order systems
UR - http://eudml.org/doc/37661
ER -

References

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