Adaptive Hybrid Function Projective Synchronization of Chaotic Space-Tether System
نویسنده
چکیده
In this paper, we have achieved adaptive hybrid function projective synchronization between two identical chaotic space-tether systems with uncertain time-varying parameters and with each system evolving from different initial conditions by applying adaptive control technique. Based on Lyapunov stability theory, adaptive control laws and parameter update laws for estimating the uncertain, timevarying parameters are derived to make the states of the two identical chaotic systems asymptotically synchronized. Complete synchronization, antisynchronization, hybrid projective synchronization are obtained as special cases from the above synchronization method. The control techniques and the proposed update laws are verified by numerical simulation results.
منابع مشابه
Adaptive hybrid function projective synchronization of chaotic systems with fully unknown periodical time-varying parameters∗
Abstract. In this paper, an adaptive learning control approach is presented for the hybrid functional projective synchronization (HFPS) of different chaotic systems with fully unknown periodical time-varying parameters. Differential-difference hybrid parametric learning laws and an adaptive learning control law are constructed via the Lyapunov–Krasovskii functional stability theory, which make ...
متن کاملAdaptive Hybrid Function Projective Synchronization of Chaotic Systems with Time-Varying Parameters
The adaptive hybrid function projective synchronization AHFPS of different chaotic systems with unknown time-varying parameters is investigated. Based on the Lyapunov stability theory and adaptive bounding technique, the robust adaptive control law and the parameters update law are derived to make the states of two different chaotic systems asymptotically synchronized. In the control strategy, ...
متن کاملHybrid Projective Dislocated Synchronization of Liu Chaotic System Based on Parameters Identification
This letter discusses hybrid projective dislocated synchronization of Liu chaotic system with five uncertain parameters. Based on adaptive technique, the hybrid projective dislocated synchronization of Liu chaotic system is achieved by designing a novel nonlinear controller. Furthermore, the parameters identification is realized simultaneously. A sufficient condition is given and proved theoret...
متن کاملHybrid Control to Approach Chaos Synchronization of Uncertain DUFFING Oscillator Systems with External Disturbance
This paper proposes a hybrid control scheme for the synchronization of two chaotic Duffing oscillator system, subject to uncertainties and external disturbances. The novelty of this scheme is that the Linear Quadratic Regulation (LQR) control, Sliding Mode (SM) control and Gaussian Radial basis Function Neural Network (GRBFNN) control are combined to chaos synchronization with respect to extern...
متن کاملDynamical behavior and synchronization of hyperchaotic complex T-system
In this paper, we introduce a new hyperchaotic complex T-system. This system has complex nonlinear behavior which we study its dynamical properties including invariance, equilibria and their stability, Lyapunov exponents, bifurcation, chaotic behavior and chaotic attractors as well as necessary conditions for this system to generate chaos. We discuss the synchronization with certain and uncerta...
متن کامل