摘要
对Duffing系统进行控制,使之能够追踪任意参考信号。首先,在系统状态全部可测的情况下设计出控制器,并用Lyapunov方法证明对此控制器闭环系统大范围渐近稳定。然后考虑到实际中系统状态不完全可测,通过观测器获得误差信号及其对时间的导数,且观测器结构设计独特,并再次通过Lyapunov方法证明此时的控制器保证闭环系统大范围渐近稳定。最后对以上过程分别进行了数值仿真,进一步证明了该方法的有效性。
The tracking control of Duffing's chaotic system is considered. We first design a controller when all the states of the system are measurable and it is proved by means of Lyapunov function that the closed-loop system is asymptotically stable in the sense of large range. We then design an observer to obtain the error signal and its time derivative in case all the states of the system are not measurable. The structure of the observer is unique. It is also proved by means of Lyapunov function that the controller can make the closed-loop system asymptotically stable in the sense of large range. In the end, computer simulations are given to illustrate the effectiveness of the proposed method.
出处
《控制工程》
CSCD
2003年第z1期121-123,共3页
Control Engineering of China
