已知非最小相位系统的跟踪问题研究(英文)

On the Tracking Problem of Known Nonminimum Phase Plants

本文探讨了已知离散时间非最小相位系统的跟踪问题．证明了一大类针对非最小相位系统的线性控制器（其具体形式将在文中给出）不能实现对任意有界设定序列的渐近跟踪．这表明对未知离散非最小相位系统，不可能设计Clarke－Gawthrop型自校正控制器或自适应极点配置控制器去渐近跟踪任意有界设定序列．

In this paper, the tracking problem of known discrete time linear nonminimumphase plants is investigated. It is proved that a large class of linear controllers (which will be specified later in our paper) for a known nonminimum phase plant can not track arbitrary bounded setpoint sequences asymptotically. This indicates that it is impossible to design a Clarke-Gawthroptype self-tuning controller or an adaptive pole placement controller for unknown nonminimumphase plants to track arbitrary bounded set point sequences asymptotically.