一类异步多速率采样控制系统的近似问题

本文提出了一类异步多速率采样控制系统．针对这类非周期异步多速率系统分析、设计困难这一问题，研究了其闭环系统性能关于采样器、保持器时间延迟的连续性问题．结果表明，其闭环系统性能是采样器、保持器时间延迟的连续函数．据此连续性，在少许改变系统性能的前提下，可以以任意给定精度将非周期异步多速率系统转变成周期异步多速率系统，再应用已有方法对其进行处理．

APPROXIMATION PROBLEM OF A KIND OF ASYNCHRONOUS MULTIRATE SAMPLED-DATA SYSTEM

This article puts forward a kind of asynchronous multirate sampled data system. Aiming at the difficulties in analyzing and designing this kind of asynchronous systems, we investigate the continuity property of its' close loop performance on the time delay of sampler and hold. The results have shown that its close loop performance is continuous function of the time delay. According to the continuity property, the aperiodic asynchronous multirate system can be approximated by a periodic asynchronous multirate system by any given accuracy under few changes in performance of the system, then we can deal with them using the known the methods.