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State feedback robust stabilisation for discrete-time fuzzy singularly perturbed systems with parameter uncertainty.
- Source :
-
IET Control Theory & Applications (Institution of Engineering & Technology) . Jul2011, Vol. 5 Issue 10, p1195-1202. 8p. - Publication Year :
- 2011
-
Abstract
- This study investigates the problem of state feedback robust stabilisation for discrete-time fuzzy singularly perturbed systems (SPSs) with parameter uncertainty. The considered system is approximated by Takagi-Sugeno fuzzy model. Based on a matrix spectral norm approach, new sufficient conditions, which ensure the existence of state feedback controller such that the resulting closed-loop system is asymptotically stable, are given. The gains of controllers are obtained by solving a set of ℇ-independent linear matrix inequalities (LMIs) such that, the ill-conditioned problems caused by ℇ can be easily avoided. In contrast to the existing results, the proposed method can be applied to both certain and uncertain SPSs with greater singular perturbation parameter ℇ. A numerical example is provided to illustrate the reduced conservatism of the authors' results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17518644
- Volume :
- 5
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- IET Control Theory & Applications (Institution of Engineering & Technology)
- Publication Type :
- Academic Journal
- Accession number :
- 62571301
- Full Text :
- https://doi.org/10.1049/iet-cta.2010.0142