【摘要】 研究了一类不确定混沌系统的自适应同步控制问题。基于Lyapunov稳定性理论和微分不等式技巧,提出了一种新的自适应控制器的设计方法。该控制器仅用到了不确定性的导数信息。即使不确定性是时变的或无界的,只要其导数有界,自适应控制器就能保证误差系统的状态收敛到平衡点附近很小的邻域内。特别地,当不确定性是慢变时,该控制器就能保证误差状态渐近稳定。最后,以Lorenz系统为例进行数值仿真,结果证明了该方法的有效性。更多还原

【Abstract】 The adaptive synchronization problem of uncertain chaotic systems was studied.Based on Lyapunovstability theory and differential inequality technique,a novel adaptive controller was proposed.The controller designed here only uses the derivative information of the uncertainty.Even if the uncertainty is time-varying or unbounded,as long as its derivative is bounded,the controller can guarantee the state error converges to a small bound around the equilibrium point.In particular,when the uncertainty is slowly changing,the controller can guarantee the state error asymptotic stability.Digital simulation was carried out for Lorenz system,and the results verified the effectiveness of the proposed method.更多还原