Yi-Sung Yang

Parameter identification of chaotic systems using evolutionary programming approach

This paper is concerned with the parameter identification problem for chaotic systems. An evolutionary programming (EP) approach is newly introduced to solve this problem. The unknown parameters of chaotic systems are taken as a parameter vector, and will be optimally approximated to the exact values of parameters by using the proposed EP algorithm. The unified chaotic systems including Lorenz, Lu and Chen systems are used in an illustrative example to show the validity of the proposed method.

Robust Synchronization of Fractional Chaotic Systems via Adaptive Sliding Mode Control

In this paper, the problem of synchronization control for fractional chaotic systems is investigated. Based on the idea of sliding mode control, a special type of fraction-integer integral (FII) switching surface is first proposed, and then an adaptive control law is derived to guarantee the synchronization of masterslave fractional chaotic systems even though unknown parameters as well as external disturbance are present. The proposed FII switching surface is simple for assigning the stability of the error system in the sliding mode. An illustrative example of the fractional Chuas system is given to demonstrate the effectiveness of the proposed scheme.

Sliding mode control design for fractional chaotic systems

This paper is concerned with the stabilization problem for fractional order chaotic systems. Based on the sliding mode control, a new switching surface involving the fractional integration of the state is proposed to simplify the task of guaranteeing the stability of the closed-loop fractional chaotic system in sliding manifold. An illustrative example of fractional Chuas system is given to demonstrate the effectiveness of the proposed control scheme.

Based on sliding mode control to synchronize of switched fractional Lorenz systems

The problem of synchronization for fractional master-slave Lorenz chaotic systems coupled with switched modified is investigated. Based on the Lyapunov stability theory and using the sliding mode control technique, a control scheme containing a new fraction-integer integral (FII) switching surface is developed to guarantee the synchronization of fractional Lorenz chaotic systems even when the switched modified is present. Numerical simulations are included to demonstrate the effectiveness of the proposed synchronization scheme.

Chaos synchronization of a horizontal platform system via output feedback control

This paper is concerned with the global synchronization problem of two identical horizontal platform systems coupled by a single output feedback control. The sufficient condition for global chaos synchronization is deduced by Routh-Hurwitz stability theory. A numerical example is given to illustrate the design procedure.

Robust Synchronization of Fractional Lorenz Systems Containing Nonlinear Inputs

The problem of synchronization for fractional master-slave Lorenz chaotic systems coupled with sector nonlinear control input is investigated. Using the sliding mode control technique, a control scheme containing a new fraction-integer integral (FII) switching surface is developed to guarantee the synchronization of fractional Lorenz chaotic systems even when the sector nonlinearity is present. Numerical simulations are included to demonstrate the effectiveness of the proposed synchronization scheme.