Control of fractional-order chaotic systems under perturbations

Mirzajani, Saeed

doi:10.22034/cmde.2025.59973.2556

Control of fractional-order chaotic systems under perturbations

Document Type : Research Paper

Author

Saeed Mirzajani

Department of Basic Sciences, Technical and Vocational University (TVU), Tehran, Iran.

10.22034/cmde.2025.59973.2556

Abstract

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.

Keywords

Main Subjects

Dynamical systems and ergodic theory

References

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