Synchronization and Anti-Synchronization of Two Identical Hyperchaotic Systems Based on Active Backstepping Design

This paper presents an active backstepping design method for synchronization and anti-synchronization of two identical hyperchaotic Chen systems. The proposed control method, combining backstepping design and active control approach, extends the application of backstepping technique in chaos control. Based on this method, different combinations of controllers can be designed to meet the needs of different applications. Numerical simulations are shown to verify the results

Anti-synchronization of discrete-time chaotic systems using optimization algorithms

In this paper, anti-synchronization of discrete chaotic system based on optimization algorithms are investigated. Different controllers have been used for anti-synchronization of two identical discrete chaotic systems. A proportional-integral-derivative (PID) control is used and its parameters is tuned by the four optimization algorithms, such as genetic algorithm (GA), particle swarm optimization (PSO), modified particle swarm optimization (MPSO) and improved particle swarm optimization (IPSO). Simulation results of these optimization methods to determine the PID controller parameters to anti-synchronization of two chaotic systems are compared. Numerical results show that the improved particle swarm optimization has the best result

Synchronization of Identical New Chaotic Flows Via Sliding Mode Controller and Linear Control

This paper deals with two methods of synchronization for two identical new 3D chaotic flows reported by Li et al. First, a sliding mode controller is proposed to synchronize the two systems. where the slave system is assumed to have a single input.Then based on the stability theory in the cascade system, a simple linear feedback law is presented to realize synchronization of chaotic systems.The asymptotic convergence to zero of the errors between the states of the master and the slave systems is shown. Simulation results are given to illustrate the effectiveness of the proposed methods

Reduced optimal controller design for the nuclear reactor power control system

The power control system of a nuclear reactor is one of the key systems that concern the safe operation of the plant. Much attention is paid to the power control systems’ performance of nuclear reactor in engineering. The goal of this paper is apply balance model reductionto derive reduced order model and then design the reduced optimal controller for nuclear reactor power system.The simulation results with reduced-order model and with optimized controller show that the proposed technique is improved

Adaptive Anti-synchronization of Identical and Non-identical 4-D Chaotic Systems

In this paper, we investigate the chaos anti-synchronization between two identical and different chaotic systems with fully unknown parameters via adaptive control. Based on the Lyapunov stability theory, an adaptive control law and a parameter update rule for unknown parameters are designed such that the two different chaotic systems can be anti-synchronized asymptotically. Theoretical analysis and numerical simulations are shown to verify the results