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

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.

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Keywords

Details

Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
International Journal of Applied Mathematics and Computer Science no. 23, pages 65 - 73,
ISSN: 1641-876X
Language:
English
Publication year:
2013
Bibliographic description:
Zubowicz T., Brdyś M.: 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. -Vol. 23, nr. 1 (2013), s.65-73
DOI:
Digital Object Identifier (open in new tab) 10.2478/amcs-2013-0006
Verified by:
Gdańsk University of Technology

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