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Robust \(H_{\infty }\) adaptive output feedback sliding mode control for interval type-2 fuzzy fractional-order systems with actuator faults

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Abstract

This paper addresses the \(H_{\infty }\) adaptive output feedback sliding mode fault-tolerant control problem for uncertain nonlinear fractional-order \(\hbox {systems}\) (FOSs) with \(0<\alpha <1\). The interval type-2 Takagi–Sugeno model is employed to represent the FOSs. Adaptive laws are designed to estimate the upper bounds of the nonlinear terms and mismatched disturbances. A reduced dimension sliding surface is constructed based on system output. A sufficient condition is established in terms of linear matrix inequalities to guarantee the stability of the sliding mode. Then, a control scheme based on fractional-order reaching law is proposed to make the resulting control system reach the sliding mode surface in a finite time. The effectiveness of proposed methods is illustrated by a numerical simulation example.

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  1. College of Sciences, Northeastern University, Shenyang, 110819, China

    Xuefeng Zhang & Wenkai Huang

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  1. Xuefeng Zhang
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Zhang, X., Huang, W. Robust \(H_{\infty }\) adaptive output feedback sliding mode control for interval type-2 fuzzy fractional-order systems with actuator faults. Nonlinear Dyn 104, 537–550 (2021). https://doi.org/10.1007/s11071-021-06311-8

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