Finite-time synchronization of nonlinear fractional chaotic systems with stochastic actuator faults. (English) Zbl 1496.34098
Summary: 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.
MSC:
| 34H10 | Chaos control for problems involving ordinary differential equations |
| 34A08 | Fractional ordinary differential equations |
| 34D06 | Synchronization of solutions to ordinary differential equations |
| 34F05 | Ordinary differential equations and systems with randomness |
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
| 93C62 | Digital control/observation systems |
| 93D40 | Finite-time stability |
Keywords:
fractional-order chaotic systems; stochastic reliable control; input quantization; randomly occurring uncertainties; finite-time synchronizationReferences:
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