Regular Papers
International Journal of Control, Automation and Systems 2022; 20(5): 1535-1543
Published online April 21, 2022
https://doi.org/10.1007/s12555-021-0051-y
© The International Journal of Control, Automation, and Systems
Finite-time Synchronization of Variable-order Fractional Uncertain Coupled Systems via Adaptive Sliding Mode Control
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.
Keywords Adaptive sliding mode control, coupled systems, synchronization control, variable-order fractional.
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Regular Papers
International Journal of Control, Automation and Systems 2022; 20(5): 1535-1543
Published online May 1, 2022 https://doi.org/10.1007/s12555-021-0051-y
Copyright © The International Journal of Control, Automation, and Systems.
Finite-time Synchronization of Variable-order Fractional Uncertain Coupled Systems via Adaptive Sliding Mode Control
Xin Meng, Cunchen Gao, Baoping Jiang*, and Zhengtian Wu
Suzhou University of Science and Technology
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.
Keywords: Adaptive sliding mode control, coupled systems, synchronization control, variable-order fractional.
Vol. 23, No. 3, pp. 683~972
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