In this paper, an appropriate fractional-integer integral sliding mode method for the control of fractional-order chaotic systems with perturbations such as uncertainties and external disturbances is addressed. When the upper bound of the perturbations is determined, a sliding mode controller is presented. Also, when the upper bound of the perturbations is unknown, an adaptive sliding mode control is designed. Analysis of the stability of the sliding mode surface is presented using the Lyapunov stability theory. Eventually, the results were carried out for the control of the complex fractional order chaotic T system.
Mirzajani, S. (2025). Control of fractional-order chaotic systems under perturbations. Computational Methods for Differential Equations, 13(3), 1037-1046. doi: 10.22034/cmde.2025.59973.2556
MLA
Mirzajani, S. . "Control of fractional-order chaotic systems under perturbations", Computational Methods for Differential Equations, 13, 3, 2025, 1037-1046. doi: 10.22034/cmde.2025.59973.2556
HARVARD
Mirzajani, S. (2025). 'Control of fractional-order chaotic systems under perturbations', Computational Methods for Differential Equations, 13(3), pp. 1037-1046. doi: 10.22034/cmde.2025.59973.2556
CHICAGO
S. Mirzajani, "Control of fractional-order chaotic systems under perturbations," Computational Methods for Differential Equations, 13 3 (2025): 1037-1046, doi: 10.22034/cmde.2025.59973.2556
VANCOUVER
Mirzajani, S. Control of fractional-order chaotic systems under perturbations. Computational Methods for Differential Equations, 2025; 13(3): 1037-1046. doi: 10.22034/cmde.2025.59973.2556
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