Stability of softly switched multiregional dynamic output controllers with a static antiwindup filter: A discrete-time case

Tomasz Zubowicz; Mietek A. Brdyś

International Journal of Applied Mathematics and Computer Science (2013)

  • Volume: 23, Issue: 1, page 65-73
  • ISSN: 1641-876X

Abstract

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This paper addresses the problem of model-based global stability analysis of discrete-time Takagi-Sugeno multiregional dynamic output controllers with static antiwindup filters. The presented analyses are reduced to the problem of a feasibility study of the Linear Matrix Inequalities (LMIs), derived based on Lyapunov stability theory. Two sets of LMIs are considered candidate derived from the classical common quadratic Lyapunov function, which may in some cases be too conservative, and a fuzzy Lyapunov function candidate, which has been proven to significantly reduce the conservatism level, although at the cost of increasing the number of LMIs. Two numerical examples illustrate the main result.

How to cite

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Tomasz Zubowicz, and Mietek A. Brdyś. "Stability of softly switched multiregional dynamic output controllers with a static antiwindup filter: A discrete-time case." International Journal of Applied Mathematics and Computer Science 23.1 (2013): 65-73. <http://eudml.org/doc/251338>.

@article{TomaszZubowicz2013,
abstract = {This paper addresses the problem of model-based global stability analysis of discrete-time Takagi-Sugeno multiregional dynamic output controllers with static antiwindup filters. The presented analyses are reduced to the problem of a feasibility study of the Linear Matrix Inequalities (LMIs), derived based on Lyapunov stability theory. Two sets of LMIs are considered candidate derived from the classical common quadratic Lyapunov function, which may in some cases be too conservative, and a fuzzy Lyapunov function candidate, which has been proven to significantly reduce the conservatism level, although at the cost of increasing the number of LMIs. Two numerical examples illustrate the main result.},
author = {Tomasz Zubowicz, Mietek A. Brdyś},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {Lyapunov; stability analysis; fuzzy control; antiwindup; Lyapunov function; anti-windup},
language = {eng},
number = {1},
pages = {65-73},
title = {Stability of softly switched multiregional dynamic output controllers with a static antiwindup filter: A discrete-time case},
url = {http://eudml.org/doc/251338},
volume = {23},
year = {2013},
}

TY - JOUR
AU - Tomasz Zubowicz
AU - Mietek A. Brdyś
TI - Stability of softly switched multiregional dynamic output controllers with a static antiwindup filter: A discrete-time case
JO - International Journal of Applied Mathematics and Computer Science
PY - 2013
VL - 23
IS - 1
SP - 65
EP - 73
AB - This paper addresses the problem of model-based global stability analysis of discrete-time Takagi-Sugeno multiregional dynamic output controllers with static antiwindup filters. The presented analyses are reduced to the problem of a feasibility study of the Linear Matrix Inequalities (LMIs), derived based on Lyapunov stability theory. Two sets of LMIs are considered candidate derived from the classical common quadratic Lyapunov function, which may in some cases be too conservative, and a fuzzy Lyapunov function candidate, which has been proven to significantly reduce the conservatism level, although at the cost of increasing the number of LMIs. Two numerical examples illustrate the main result.
LA - eng
KW - Lyapunov; stability analysis; fuzzy control; antiwindup; Lyapunov function; anti-windup
UR - http://eudml.org/doc/251338
ER -

References

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