基于切换原理的非均匀采样系统控制

在非均匀采样系统中,存在着刷新时间间隔不确定、时变的情况,这给系统控制器的设计造成了很大困难.为此,将刷新时间间隔看作时延变量,不同时延大小情况下的系统动态变化用不同子系统模型刻画,从而将时延的变化律转化为不同子模型之间的切换律,将非均匀采样系统描述为一类具有有限个子系统的离散时间切换系统.通过定理形式给出含有不确定刷新时间间隔的反馈闭环系统鲁棒稳定性的充分条件.

Control of non-uniform sampling systems based on switching principle

The uncertainty and time variation of the refresh time interval exist in non-uniform sampling systems, which cause great difficulties to design the system controller. To deal with the problems, the refresh time interval is regarded as the time delay variable, and the system dynamic changes in different time delays are characterized by different subsystems. The changing laws of time delay are transformed into the switching laws among different sub models.The non-uniform sampling system is described as a class of discrete-time switched systems with some subsystems. Sufficient conditions of the robust stability of the closed-loop systems with the uncertain refresh time interval are given in the form of theorems.