Synchronization of a Class of Discrete Chaotic Systems by Improved Piecewise Linear Control

Based on the method of feedback chaos control, a nonlinear feedback control technique was used to synchronize two identical chaotic systems with different initial values. Because the conditional Lyapunov exponent of response system is greater than zero, synchronization loses when linear feedback method used alone. However,combining with piecewise control method as well as the improved couple terms, system synchronization is realized. The numerical simulations show that by using the proposed piecewise linear method the synchronized error is much smaller than that of nonlinear feedback control, and converge to zero more quickly.