Passivity based stabilization of non-minimum phase nonlinear systems

Juan C. Travieso-Torres; Manuel A. Duarte-Mermoud; Petr Zagalak

Kybernetika (2009)

  • Volume: 45, Issue: 3, page 417-426
  • ISSN: 0023-5954

Abstract

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A cascade scheme for passivity-based stabilization of a wide class of nonlinear systems is proposed in this paper. Starting from the definitions and basic concepts of passivity-based stabilization via feedback (which are applicable to minimum phase nonlinear systems expressed in their normal forms) a cascade stabilization scheme is proposed for minimum and non-minimum phase nonlinear systems where the constraint of stable zero dynamics imposed by previous stabilization approaches is abandoned. Simulation results of the proposed algorithm are presented to demonstrate its performance.

How to cite

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Travieso-Torres, Juan C., Duarte-Mermoud, Manuel A., and Zagalak, Petr. "Passivity based stabilization of non-minimum phase nonlinear systems." Kybernetika 45.3 (2009): 417-426. <http://eudml.org/doc/37673>.

@article{Travieso2009,
abstract = {A cascade scheme for passivity-based stabilization of a wide class of nonlinear systems is proposed in this paper. Starting from the definitions and basic concepts of passivity-based stabilization via feedback (which are applicable to minimum phase nonlinear systems expressed in their normal forms) a cascade stabilization scheme is proposed for minimum and non-minimum phase nonlinear systems where the constraint of stable zero dynamics imposed by previous stabilization approaches is abandoned. Simulation results of the proposed algorithm are presented to demonstrate its performance.},
author = {Travieso-Torres, Juan C., Duarte-Mermoud, Manuel A., Zagalak, Petr},
journal = {Kybernetika},
keywords = {nonlinear systems; stabilization; passivity; state feedback; nonlinear systems; stabilization; passivity; state feedback},
language = {eng},
number = {3},
pages = {417-426},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Passivity based stabilization of non-minimum phase nonlinear systems},
url = {http://eudml.org/doc/37673},
volume = {45},
year = {2009},
}

TY - JOUR
AU - Travieso-Torres, Juan C.
AU - Duarte-Mermoud, Manuel A.
AU - Zagalak, Petr
TI - Passivity based stabilization of non-minimum phase nonlinear systems
JO - Kybernetika
PY - 2009
PB - Institute of Information Theory and Automation AS CR
VL - 45
IS - 3
SP - 417
EP - 426
AB - A cascade scheme for passivity-based stabilization of a wide class of nonlinear systems is proposed in this paper. Starting from the definitions and basic concepts of passivity-based stabilization via feedback (which are applicable to minimum phase nonlinear systems expressed in their normal forms) a cascade stabilization scheme is proposed for minimum and non-minimum phase nonlinear systems where the constraint of stable zero dynamics imposed by previous stabilization approaches is abandoned. Simulation results of the proposed algorithm are presented to demonstrate its performance.
LA - eng
KW - nonlinear systems; stabilization; passivity; state feedback; nonlinear systems; stabilization; passivity; state feedback
UR - http://eudml.org/doc/37673
ER -

References

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