线性定常系统的δ－算子描述──能控性与能稳性  

Controllability and Stabilizability of Linear Time-Invariant Systems in the Delta Operator Descriptions

作　　者：邹云[1] 杨成梧[1] 翟长连 

机构地区：[1]南京理工大学动力工程学院

出　　处：《控制理论与应用》1996年第4期527-531,共5页Control Theory & Applications

基　　金：自然科学基金

摘　　要：本文讨论了δ－算子描述下的线性定常系统的能控性与能稳性问题．研究结果表明：虽然两种描述（即传统的ｑ－算子描述和本文讨论的δ－算子描述）方法下的能控性定义及判据形式上并无二致，然而在高速采样的条件下，两种描述方法下的系统的能控度与能稳度呈现出完全相反的特性，一般而言，δ－算子描述方法更加适合高速采样情形．In this paper, the problems of controllability and stabilizability for the linear time-inviariant systems based on delta operator model are discussed. It is shown that the controllability and stabilizability margins of this new model, at least in the case of high-speed sampling rate, is much more closed up to its continuous counterparts than that of the traditional models based on shift operators is,while the latter equal o (τ), where r represents the sampling step. However, the corresponding criteria for the controllabilityand stability of the models are all the same as those traditional results in form.

关 键 词：δ-算子 能控性 能稳性 线性系统 线性定常系统 

分 类 号：TP271[自动化与计算机技术—检测技术与自动化装置]