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• W2891161302 endingPage "49837" @default.
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• W2891161302 abstract "This study explores the observer-based <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$H_infty$ </tex-math></inline-formula> repetitive control problem for a class of fractional-order systems subject to external disturbances described by an interval type-2 Takagi-Sugeno fuzzy model approach. By combining the Lyapunov method and linear matrix inequalities technique, a tracking control input is designed with a prescribed disturbance attenuation performance level such that all states of the resulting closed-loop control system will be bounded and the tracking error can fluctuate near the origin in a small neighborhood. The main attention of this work is focused on the design of the repetitive tracking controller to asymptotically stabilize the fractional-order nonlinear systems and to achieve <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$H_infty$ </tex-math></inline-formula> tracking performance. Precisely, a new set of sufficient conditions is derived in the form of linear matrix inequalities that ensure the desired stability and <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$H_infty$ </tex-math></inline-formula> performance, and the controller gain is then computed. Finally, a numerical example is exploited to demonstrate the effectiveness and potential of the proposed control design technique." @default.
• W2891161302 created "2018-09-27" @default.
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• W2891161302 date "2018-01-01" @default.
• W2891161302 modified "2023-10-01" @default.
• W2891161302 title "Observer-Based $H_infty$ Repetitive Control for Fractional-Order Interval Type-2 TS Fuzzy Systems" @default.
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• W2891161302 doi "https://doi.org/10.1109/access.2018.2867612" @default.
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