Synchronization, Anti-Synchronization and Hybrid-Synchronization Of A Double Pendulum Under The Effect Of External Forces
نویسندگان
چکیده
In the present manuscript, an investigation on synchronization, anti -synchronization and hybridsynchronization behavior of a double pendulum under the effect of external forces using active control technique based on the Lyapunov stability theory and the Routh-Hurwitz criteria, have been made. The designed controller with a new choice of co-efficient matrix of the error-dynamics are found to be effective in the stabilizat ion of error states at the origin, thereby achieving synchronization between the states variables of two dynamical systems under consideration. Numerical simulations have been presented to illustrate the effectiveness of the proposed control techniques using mathematica.
منابع مشابه
Hybrid 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 کاملRobust Control Synchronization on Multi-Story Structure under Earthquake Loads and Random Forces using H∞ Algorithm
In this paper, the concept of synchronization control along with robust H∞ control are considered to evaluate the seismic response control on multi-story structures. To show the accuracy of the novel algorithm, a five-story structure is evaluated under the EL-Centro earthquake load. In order to find the performance of the novel algorithm, random and uncertainty processes corresponding...
متن کاملAnti-synchronization and synchronization of T-system
In this paper, we discuss the synchronization and anti-synchronization of two identical chaotic T-systems. The adaptive and nonlinear control schemes are used for the synchronization and anti-synchronization. The stability of these schemes is derived by Lyapunov Stability Theorem. Firstly, the synchronization and anti-synchronization are applied to systems with known parameters, then to systems...
متن کاملSynchronization analysis of complex dynamical networks with hybrid coupling with application to Chua’s circuit
Complex dynamic networks have been considered by researchers for their applications in modeling and analyzing many engineering issues. These networks are composed of interconnected nodes and exhibit complex behaviors that are resulted from interactions between these nodes. Synchronization, which is the concept of coordinated behavior between nodes, is the most interested behavior in these netwo...
متن کاملGlobal Finite Time Synchronization of Two Nonlinear Chaotic Gyros Using High Order Sliding Mode Control
In this paper, under the existence of system uncertainties, external disturbances, and input nonlinearity, global finite time synchronization between two identical attractors which belong to a class of second-order chaotic nonlinear gyros are achieved by considering a method of continuous smooth second-order sliding mode control (HOAMSC). It is proved that the proposed controller is robust to m...
متن کامل