不确定Duffing混沌系统自适应跟踪控制的参数条件

研究了连续时间Duffing混沌系统在具有不确定性扰动时的自适应跟踪控制问题的实现条件.基于稳定性理论,在系统存在有界扰动(但扰动的界大小未知)时,采用自适应控制方法,把自适应控制器的参数条件推广到一般情况,可实现系统的状态渐近跟踪预先给定的轨线,利用matlab仿真可进一步说明该控制器在此条件下的有效性.

The Research of the Parameters of Adaptive Tracking Control for Duffing Chaotic System with Uncertainty

The problem of how to design adaptive tracking controller for a class of continuous-time Duffing chaotic system with uncertain disturbance has been discussed.Based on the stability theory and adaptive control approach,for the system with unknown bounded disturbance,we have designed an adaptive controller,whose parameters are in general conditions.The state of the Duffing chaotic system controlled by the proposed controller can asymptotically track the desired trajectories.The simulation results demonstrate the effectiveness of the controller,whose parameters satisfy some conditions.