不确定性超混沌系统的自适应鲁棒反同步

Self-Adaptive Robust Anti-Synchronization of Hyperchaotic Systems with Unicertainties

针对一类具有外部不确定性的反同步问题,提出一种自适应鲁棒控制方法.基于Lyapunov稳定性理论和自适应控制,设计自适应鲁棒控制器和参数的自适应更新律;通过在输入控制量中引入一补偿项以消除不确定性的影响,实现自适应鲁棒反同步,将系统的反同步误差控制在任意小的范围内.最后,通过数值仿真验证所提出控制方法的有效性.

A novel self-adaptive robust control method is proposed to anti-synchronize a kind of hyperehaotic systems with different structures and external uncertainties. Based on Lyapunov stability theory and adaptive control, a self-adap- tive robust controller is designed and the updating laws of unknown parameters are given as well. The self-adaptive anti- synchronization is achieved by adding a compensator into the input to eliminate the influence of uncertainties, and the anti -synchronization error of a system is bounded within an arbitrarily small value. Numerical simulations are provided to demonstrate the effectiveness of the presented control scheme.