Finite-time synchronization of nonlinear fractional chaotic systems with stochastic actuator faults

This paper states with the objective of investigating the synchronization problem of nonlinear delayed fractional-order chaotic systems in conjunction with quantization, actuator faults, randomly occurring parametric uncertainties and exogenous disturbances. Moreover, the actuator faults are randomly occurring at any instant of time. The resultant random variables obeying Bernoulli distribution are introduced to account stochastic behavior. In spite of ensuring the robust performance, the finite-time synchronization of the addressed system is achieved and satisfies passive disturbance attenuation level by developing robust quantized stochastic reliable control protocol. As a consequence, the fast synchronization of the considered system is ensured in a finite time period. Owing to this perspective, the desired controller gain matrices can be obtained by solving developed linear matrix inequality. Further, the effectiveness of the theoretical result developed in this paper is validated via numerical simulation. (C) 2020 Elsevier Ltd. All rights reserved.

Automated summary

This paper investigates the synchronization problem of nonlinear delayed fractional-order chaotic systems, taking into account quantization, actuator faults, randomly occurring parametric uncertainties, and exogenous disturbances. The study achieves fast synchronization of the system in a finite time period by developing a robust quantized stochastic reliable control protocol. The theoretical results are validated through numerical simulation.