Synchronization of Chaotic Systems using Adaptive T-S Fuzzy Terminal Sliding-Function Control

نویسندگان

  • Yun-Cheng Huang
  • Tzuu-Hseng S. Li
چکیده

This paper presents an adaptive Takgi-Sugeno (T-S) fuzzy terminal sliding-function controller (AFTSFC) approach to synchronize two chaotic systems with parameter mismatch. First, an appropriate terminal sliding function (TSF) is designed and then represented by the T-S fuzzy model. The T-S fuzzy terminal sliding-function (FTSF) is applied to the control law. Different from classical terminal sliding mode control, which uses a discontinuous switching control law, the FTSF control uses a continuous control law and thus avoids the chattering problem. The linear matrix inequality (LMI) problem is solved to obtain the initial feedback control gain, and the adaptive law of the control gain is adapted online to estimate parametric mismatch. Based on the Lyapunov stability theory, the AFTSFC guarantees that the error of synchronization is uniformly ultimately bounded (UUB); i.e., the drive and response chaotic systems can be synchronized with only a small bounded error. The simulation results demonstrate that the proposed method is able to provide a satisfactory synchronization performance.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Anti-Synchronization of Complex Chaotic T-System Via Optimal Adaptive Sliding-Mode and Its Application In Secure Communication

In this paper, an optimal adaptive sliding mode controller is proposed for anti-synchronization of two identical hyperchaotic systems. We use hyperchaotic complex T-system for master and slave systems with unknown parameters in the slave system. To construct the optimal adaptive sliding mode controller, first a simple sliding surface is designed. Then, the optimal adaptive sliding mode controll...

متن کامل

Adaptive Fuzzy Dynamic Sliding Mode Control of Nonlinear Systems

Two phenomena can produce chattering: switching of input control signal and the large amplitude of this switching (switching gain). To remove the switching of input control signal, dynamic sliding mode control (DSMC) is used. In DSMC switching is removed due to the integrator which is placed before the plant. However, in DSMC the augmented system (system plus the integrator) is one dimension bi...

متن کامل

Modified 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 کامل

Synchronization 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 کامل

Observer Based Fuzzy Terminal Sliding Mode Controller Design for a Class of Fractional Order Chaotic Nonlinear Systems

This paper presents a new observer based fuzzy terminal sliding mode controller design for a class of fractional order nonlinear systems. Robustness against uncertainty and disturbance, the stability of the close loop system and the convergence of both the tracking and observer errors to zero are the merits of the proposed the observer and the controller. The high gain observer is applied to es...

متن کامل

ذخیره 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 نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2014