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Neural Adaptive quantized output-feedback control- based synchronization of uncertain time-delay incommensurate fractionalorder chaotic systems with input nonlinearities

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Date
2017
Author
Zouari, Farouk
Boulkroune, Abdesselem
Ibeas, Asier
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Abstract
research is concerned with the problem of generalized function projective synchronization of nonlinear uncertain time-delay incommensurate fractional-order chaotic systems with input nonlinearities. The considered problem is challenging owing to the presence of unmeasured master-slave system states, external dynamical disturbances, unknown nonlinear system functions, unknown time-varying delays, quantized outputs, unknown control direction, unknown actuator nonlinearities (backlash-like hysteresis, dead-zone and asymmetric saturation actuators) and distinct fractional-orders. Under some mild assumptions and using aputo’s definitions for fractional-order integrals and derivatives, the design procedure of the proposed neural adaptive controller consists of a number of steps to solve the generalized function projective synchronization problem. First, smooth functions and the mean value theorem are utilized to overcome the difficulties from actuator nonlinearities and distributed time-varying delays, respectively. Then, a simple linear observer is established to estimate the unknown synchronization error variables. In addition, a Nussbaum function is incorporated to cope with the unknown control direction and a neural network is adopted to tackle the unknown nonlinear functions. The combination of the frequency distributed model, the Razumikhin Lemma, the neural network parameterization, the Lyapunov method and the arbalat’s le a is employed to perform the stability proof of the closed-loop system and to derive the adaption laws. The major advantages of this research are that: (1) the Strictly Positive Real (SPR) condition on the estimation error dynamics is not required, (2) the considered class of master-slave systems is relatively large, (3) all signals in the resulting closed-loop systems are semi-globally uniformly ultimately bounded and the synchronization errors semi-globally converge to zero. Finally, numerical examples are presented to illustrate the performance of the proposed synchronization scheme.
Palabras clave
Generalized function projective synchronization; Uncertain time-delay chaotic systems; Incommensurate fractional-order systems; Input nonlinearities; Razumikhin Lemma; Frequency distributed model; Adaptive quantized output-feedback control
URI
http://hdl.handle.net/20.500.12010/9077
Link to resource
http://dx.doi.org/10.1016/j.neucom.2016.11.036
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  • Año 2017 [148]
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Carrera 4 # 22-61 Teléfono: (+57 1) 242 7030 - 018000111022 Fax: (+57 1) 561 2107 Bogotá D.C., Colombia

Fundación Universitaria de Bogotá Jorge Tadeo Lozano | Vigilada Mineducación

Institución de educación superior privada, de utilidad común, sin ánimo de lucro y su carácter académico es el de Universidad.

Reconocimiento personería jurídica: Resolución 2613 del 14 de agosto de 1959 Minjusticia.

Institución de Educación Superior sujeta a inspección y vigilancia por el Ministerio de Educación Nacional.

 

Términos y condiciones | Políticas