Delay-dependent robust stability conditions and decay estimates for systems with input delays

Kostas Hrissagis; Olga I. Kosmidou

Kybernetika (1998)

  • Volume: 34, Issue: 6, page [681]-691
  • ISSN: 0023-5954

Abstract

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The robust stabilization of uncertain systems with delays in the manipulated variables is considered in this paper. Sufficient conditions are derived that guarantee closed-loop stability under state-feedback control in the presence of nonlinear and/or time-varying perturbations. The stability conditions are given in terms of scalar inequalities and do not require the solution of Lyapunov or Riccati equations. Instead, induced norms and matrix measures are used to yield some easy to test robust stability criteria. The problem of constrained control is also discussed, and alternative stability tests for the case of saturation nonlinearities are presented. Estimates of the transient behavior of the controlled system are also obtained. Finally, an example illustrates the results.

How to cite

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Hrissagis, Kostas, and Kosmidou, Olga I.. "Delay-dependent robust stability conditions and decay estimates for systems with input delays." Kybernetika 34.6 (1998): [681]-691. <http://eudml.org/doc/33398>.

@article{Hrissagis1998,
abstract = {The robust stabilization of uncertain systems with delays in the manipulated variables is considered in this paper. Sufficient conditions are derived that guarantee closed-loop stability under state-feedback control in the presence of nonlinear and/or time-varying perturbations. The stability conditions are given in terms of scalar inequalities and do not require the solution of Lyapunov or Riccati equations. Instead, induced norms and matrix measures are used to yield some easy to test robust stability criteria. The problem of constrained control is also discussed, and alternative stability tests for the case of saturation nonlinearities are presented. Estimates of the transient behavior of the controlled system are also obtained. Finally, an example illustrates the results.},
author = {Hrissagis, Kostas, Kosmidou, Olga I.},
journal = {Kybernetika},
keywords = {robust stability; state-feedback control; uncertain input delay; alternative stability tests; closed-loop stability; time-varying perturbations; decay estimates; transient behavior; robust stability; state-feedback control; uncertain input delay; alternative stability tests; closed-loop stability; time-varying perturbations; decay estimates; transient behavior},
language = {eng},
number = {6},
pages = {[681]-691},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Delay-dependent robust stability conditions and decay estimates for systems with input delays},
url = {http://eudml.org/doc/33398},
volume = {34},
year = {1998},
}

TY - JOUR
AU - Hrissagis, Kostas
AU - Kosmidou, Olga I.
TI - Delay-dependent robust stability conditions and decay estimates for systems with input delays
JO - Kybernetika
PY - 1998
PB - Institute of Information Theory and Automation AS CR
VL - 34
IS - 6
SP - [681]
EP - 691
AB - The robust stabilization of uncertain systems with delays in the manipulated variables is considered in this paper. Sufficient conditions are derived that guarantee closed-loop stability under state-feedback control in the presence of nonlinear and/or time-varying perturbations. The stability conditions are given in terms of scalar inequalities and do not require the solution of Lyapunov or Riccati equations. Instead, induced norms and matrix measures are used to yield some easy to test robust stability criteria. The problem of constrained control is also discussed, and alternative stability tests for the case of saturation nonlinearities are presented. Estimates of the transient behavior of the controlled system are also obtained. Finally, an example illustrates the results.
LA - eng
KW - robust stability; state-feedback control; uncertain input delay; alternative stability tests; closed-loop stability; time-varying perturbations; decay estimates; transient behavior; robust stability; state-feedback control; uncertain input delay; alternative stability tests; closed-loop stability; time-varying perturbations; decay estimates; transient behavior
UR - http://eudml.org/doc/33398
ER -

References

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