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Finite-time Synchronization of Variable-order Fractional Uncertain Coupled Systems via Adaptive Sliding Mode Control

Xin Meng, Cunchen Gao, Baoping Jiang*, and Zhengtian Wu
International Journal of Control, Automation, and Systems, vol. 20, no. 5, pp.1535-1543, 2022

Abstract : This paper aims to investigate the problem of adaptive sliding mode control (SMC) for a class of variableorder fractional (VOF) uncertain coupled systems. First, a novel VOF integral-type sliding surface composed of nonlinear coupling terms is designed with the aid of VOF calculus. Second, based on graph theory, novel asymptotical stability criteria are obtained for the obtained sliding mode dynamics. Moreover, the finite-time reachability of the predefined VOF integral-type sliding surface is ensured by designing a novel adaptive VOF controller. Finally, two numerical studies are presented to verify the validity and superiority of the proposed control strategy.

Keyword : Adaptive sliding mode control, coupled systems, synchronization control, variable-order fractional.

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