Fractional investigations of zoonotic visceral leishmaniasis disease with singular and non-singular kernel
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Author list: Khan M.A., Kolebaje O., Yildirim A., Ullah S., Kumam P., Thounthong P.
Publisher: Institute of Control, Robotics and Systems
Publication year: 2019
Volume number: 134
Issue number: 10
ISSN: 1598-6446
eISSN: 1598-6446
Languages: English-Great Britain (EN-GB)
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Abstract
This paper investigates the problem of designing a robust H∞ state feedback plus state-derivative feedback control mechanism for a class of uncertain nonlinear markovian jump systems with time varying delay described by a Takagi-Sugeno (T-S) fuzzy model. The linear matrix inequalities (LMIs) approach is applied to derive a robust controller for such a system. The proposed controller satisfies design requirements that ensure that the closed-loop system is asymptotically stable and meets pre-prescribed H∞ performance index values. Finally, to illustrate the effectiveness of the design developed in this paper, a numerical example is also provided. © 2019, ICROS, KIEE and Springer.
Keywords
Markovian jump systems, Takagi-Sugeno (T-S) fuzzy model