Synchronization of Chaotic fractional-Order Systems via Linear Control
نویسندگان
چکیده
HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés. Synchronization of chaotic fractional-order systems via linear control Zaid Odibat, Nathalie Corson, Moulay Aziz-Alaoui, Cyrille Bertelle
منابع مشابه
Finite Time Mix Synchronization of Delay Fractional-Order Chaotic Systems
Chaos synchronization of coupled fractional order differential equation is receiving increasing attention because of its potential applications in secure communications and control processing. The aim of this paper is synchronization between two identical or different delay fractional-order chaotic systems in finite time. At first, the predictor-corrector method is used to obtain the solutions ...
متن کاملSynchronization of Chaotic Fractional-Order Lu-Lu Systems with Active Sliding Mode Control
Synchronization of chaotic and Lu system has been done using the active sliding mode control strategy. Regarding the synchronization task as a control problem, fractional order mathematics is used to express the system and active sliding mode for synchronization. It has been shown that, not only the performance of the proposed method is satisfying with an acceptable level of control signal, but...
متن کاملModified Sliding-Mode Control Method for Synchronization a Class of Chaotic Fractional-Order Systems with Application in Encryption
In this study, we propose a secure communication scheme based on the synchronization of two identical fractional-order chaotic systems. The fractional-order derivative is in Caputo sense, and for synchronization, we use a robust sliding-mode control scheme. The designed sliding surface is taken simply due to using special technic for fractional-order systems. Also, unlike most manuscripts, the ...
متن کاملChaotic dynamics and synchronization of fractional order PMSM system
In this paper, we investigate the chaotic behaviors of the fractional-order permanent magnet synchronous motor (PMSM) system. The necessary condition for the existence of chaos in the fractional-order PMSM system is deduced and an active controller is developed based on the stability theory for fractional systems. The presented control scheme is simple and flexible, and it is suitable both fo...
متن کاملProjective Synchronization of N-Dimensional Chaotic Fractional-Order Systems via Linear State Error Feedback Control
Based on linear feedback control technique, a projective synchronization scheme ofN-dimensional chaotic fractional-order systems is proposed, which consists of master and slave fractional-order financial systems coupled by linear state error variables. It is shown that the slave system can be projectively synchronized with the master system constructed by state transformation. Based on the stab...
متن کاملSynchronization of Chaotic Fractional-Order WINDMI Systems via Linear State Error Feedback Control
We propose a fractional-order WINDMI system, as a generalization of an integer-order system developed by Sprott 2003 . The considered synchronization scheme consists of identical master and slave fractional-order WINDMI systems coupled by linear state error variables. Based on the stability theory of nonlinear fractional-order systems, linear state error feedback control technique is applied to...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- I. J. Bifurcation and Chaos
دوره 20 شماره
صفحات -
تاریخ انتشار 2010