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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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- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.2478/amcs-2013-0006
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
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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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