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.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
1996年第4期527-531,共5页
Control Theory & Applications
基金
自然科学基金
关键词
δ-算子
能控性
能稳性
线性系统
线性定常系统
delta-operator description
controllability
stabilizability
margins of controllability and stabilizablity
linear systems
