闭环系统的鲁棒性分析

The robust analysis of the close-loop system

针对存在相对有界干扰和参数不确定性的离散时间系统 ,通过自适应控制系统的闭环模型族 ,证明出在较弱的条件下 ,闭环系统的输入输出是一致有界的 ,并且系统输出跟踪也一致有界。预计这种方法可以进一步达到ε -跟踪 ,与以往有所改进的是 ,在没有限定不确定性的范围下 ,最终使跟踪误差随外界干扰的减少而减少 ,且当外界干扰趋于零时 。

This paper proves that the close-loop model set of the input and output of the close-loop are consistently bounded by the adaptive control system and the tracking error of the output is consistently bounded as well. It is estimated that this method is capable of ε-tracking.It is different from those of the past just because there is no limit of the uncertainty,which makes the tracking error become less with the less outside disturbance.Furthermore,the tracking error has a tendency to zero if there is not any outside disturbance.