Constrained robust adaptive stabilization for a class of lower triangular systems with unknown control direction

Jianglin Lan; Weijie Sun; Yunjian Peng

Kybernetika (2014)

  • Volume: 50, Issue: 3, page 450-469
  • ISSN: 0023-5954

Abstract

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This paper studies the constrained robust adaptive stabilization problem for a class of lower triangular systems with unknown control direction. A robust adaptive feedback control law for the systems is proposed by incorporating the technique of Barrier Lyapunov Function with Nussbaum gain. Such a controlled system arises from the study of the constrained robust output regulation problem for a class of output feedback systems with the unknown control direction and a nonlinear exosystem. An application of the constrained robust adaptive stabilization design leads to the solution of the constrained robust output regulation problem in the sense that the output tracking error is constrained within the prescribed barrier limit while asymptotically approaching to zero and the closed loop signals are all bounded for all the time. A numerical example is provided to illustrate the performance of the proposed control.

How to cite

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Lan, Jianglin, Sun, Weijie, and Peng, Yunjian. "Constrained robust adaptive stabilization for a class of lower triangular systems with unknown control direction." Kybernetika 50.3 (2014): 450-469. <http://eudml.org/doc/261920>.

@article{Lan2014,
abstract = {This paper studies the constrained robust adaptive stabilization problem for a class of lower triangular systems with unknown control direction. A robust adaptive feedback control law for the systems is proposed by incorporating the technique of Barrier Lyapunov Function with Nussbaum gain. Such a controlled system arises from the study of the constrained robust output regulation problem for a class of output feedback systems with the unknown control direction and a nonlinear exosystem. An application of the constrained robust adaptive stabilization design leads to the solution of the constrained robust output regulation problem in the sense that the output tracking error is constrained within the prescribed barrier limit while asymptotically approaching to zero and the closed loop signals are all bounded for all the time. A numerical example is provided to illustrate the performance of the proposed control.},
author = {Lan, Jianglin, Sun, Weijie, Peng, Yunjian},
journal = {Kybernetika},
keywords = {Barrier Lyapunov Function; output regulation; nonlinear exosystem; Nussbaum gain; barrier Lyapunov function; output regulation; nonlinear exosystem; Nussbaum gain},
language = {eng},
number = {3},
pages = {450-469},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Constrained robust adaptive stabilization for a class of lower triangular systems with unknown control direction},
url = {http://eudml.org/doc/261920},
volume = {50},
year = {2014},
}

TY - JOUR
AU - Lan, Jianglin
AU - Sun, Weijie
AU - Peng, Yunjian
TI - Constrained robust adaptive stabilization for a class of lower triangular systems with unknown control direction
JO - Kybernetika
PY - 2014
PB - Institute of Information Theory and Automation AS CR
VL - 50
IS - 3
SP - 450
EP - 469
AB - This paper studies the constrained robust adaptive stabilization problem for a class of lower triangular systems with unknown control direction. A robust adaptive feedback control law for the systems is proposed by incorporating the technique of Barrier Lyapunov Function with Nussbaum gain. Such a controlled system arises from the study of the constrained robust output regulation problem for a class of output feedback systems with the unknown control direction and a nonlinear exosystem. An application of the constrained robust adaptive stabilization design leads to the solution of the constrained robust output regulation problem in the sense that the output tracking error is constrained within the prescribed barrier limit while asymptotically approaching to zero and the closed loop signals are all bounded for all the time. A numerical example is provided to illustrate the performance of the proposed control.
LA - eng
KW - Barrier Lyapunov Function; output regulation; nonlinear exosystem; Nussbaum gain; barrier Lyapunov function; output regulation; nonlinear exosystem; Nussbaum gain
UR - http://eudml.org/doc/261920
ER -

References

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