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- Title
Novel admissibility and robust stabilization conditions for fractional‐order singular systems with polytopic uncertainties.
- Authors
Zhang, Qing‐Hao; Lu, Jun‐Guo
- Abstract
This paper considers the issues of the admissibility and robust stabilization of fractional‐order singular systems with polytopic uncertainties and fractional‐order α:1≤α<2$$ \alpha :1\le \alpha <2 $$ and 0<α<1$$ 0<\alpha <1 $$. Firstly, the novel admissibility conditions for nominal fractional‐order singular systems are proposed with no conservatism and without any equalities or nonstrict inequalities. Secondly, the robust admissibility conditions for fractional‐order singular systems with polytopic uncertainties are given based on the admissibility conditions for nominal fractional‐order singular systems. Thirdly, to make the uncertain fractional‐order singular systems robustly admissible, the methods of designing the static output feedback controllers are obtained with wider application scope, which are direct, concise, and more relaxed compared with the existing results. All the results are proposed in terms of linear matrix inequalities. Finally, three illustrative examples are given to demonstrate the effectiveness of the results.
- Subjects
LINEAR matrix inequalities; CONSERVATISM
- Publication
Asian Journal of Control, 2024, Vol 26, Issue 1, p70
- ISSN
1561-8625
- Publication type
Article
- DOI
10.1002/asjc.3178