不确定Liu混沌系统的动态面跟踪控制

针对一类含有常参数不确定性及外部干扰的Liu混沌系统的跟踪控制问题,采用动态面控制方法设计了一个新颖的非线性自适应鲁棒跟踪控制器。该方法由于在逆推设计过程中结合使用了一阶低通滤波器,从而避免了因“微分项的膨胀”而引起的算法复杂性。理论分析及仿真结果均表明所得到的控制器能够保证闭环系统的半全局渐近稳定,使得输出渐近期望跟踪轨迹,且对不确定性具有良好的适应性及鲁棒性。

Tracking control of Liu chaoic systems with uncertainty 1sing dynamic surface method

For the tracking control problem of Liu chaotic systems containing constant parameter uncertainties and external disturbances,a novel nonlinear adaptive robust tracking controller is designed based on the dynamic surface control method.Because first-order low pass filters are used and combined with the backstepping design procedure in this method,the complexity arising from the "explosion of terms" is avoided finally.The theory analysis and simulation results demonstrate that the proposed controller guarantees the closed-loop semi-globally asymptotically stable and makes the output track the desired trajectory,at the same time,it owns super robustness and adaptability to uncertainties.