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On finite time stability with guaranteed cost control of uncertain linear systems

Atif Qayyum; Alfredo Pironti

Kybernetika (2018)

  • Volume: 54, Issue: 5, page 1071-1090
  • ISSN: 0023-5954

Abstract

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This paper deals with the design of a robust state feedback control law for a class of uncertain linear time varying systems. Uncertainties are assumed to be time varying, in one-block norm bounded form. The proposed state feedback control law guarantees finite time stability and satisfies a given bound for an integral quadratic cost function. The contribution of this paper is to provide a sufficient condition in terms of differential linear matrix inequalities for the existence and the construction of the proposed robust control law. In particular, the construction of the feedback control law is brought back to a feasibility problem which can be solved inside the convex optimization framework. The effectiveness of the proposed approach is shown by means of the results obtained on a numerical and a physical example.

How to cite

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Qayyum, Atif, and Pironti, Alfredo. "On finite time stability with guaranteed cost control of uncertain linear systems." Kybernetika 54.5 (2018): 1071-1090. <http://eudml.org/doc/294511>.

@article{Qayyum2018,
abstract = {This paper deals with the design of a robust state feedback control law for a class of uncertain linear time varying systems. Uncertainties are assumed to be time varying, in one-block norm bounded form. The proposed state feedback control law guarantees finite time stability and satisfies a given bound for an integral quadratic cost function. The contribution of this paper is to provide a sufficient condition in terms of differential linear matrix inequalities for the existence and the construction of the proposed robust control law. In particular, the construction of the feedback control law is brought back to a feasibility problem which can be solved inside the convex optimization framework. The effectiveness of the proposed approach is shown by means of the results obtained on a numerical and a physical example.},
author = {Qayyum, Atif, Pironti, Alfredo},
journal = {Kybernetika},
keywords = {differential LMIs; finite time stability; guaranteed cost control; robust control; state feedback control},
language = {eng},
number = {5},
pages = {1071-1090},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On finite time stability with guaranteed cost control of uncertain linear systems},
url = {http://eudml.org/doc/294511},
volume = {54},
year = {2018},
}

TY - JOUR
AU - Qayyum, Atif
AU - Pironti, Alfredo
TI - On finite time stability with guaranteed cost control of uncertain linear systems
JO - Kybernetika
PY - 2018
PB - Institute of Information Theory and Automation AS CR
VL - 54
IS - 5
SP - 1071
EP - 1090
AB - This paper deals with the design of a robust state feedback control law for a class of uncertain linear time varying systems. Uncertainties are assumed to be time varying, in one-block norm bounded form. The proposed state feedback control law guarantees finite time stability and satisfies a given bound for an integral quadratic cost function. The contribution of this paper is to provide a sufficient condition in terms of differential linear matrix inequalities for the existence and the construction of the proposed robust control law. In particular, the construction of the feedback control law is brought back to a feasibility problem which can be solved inside the convex optimization framework. The effectiveness of the proposed approach is shown by means of the results obtained on a numerical and a physical example.
LA - eng
KW - differential LMIs; finite time stability; guaranteed cost control; robust control; state feedback control
UR - http://eudml.org/doc/294511
ER -

References

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