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

中文关键词  δ－算子  能控性  能稳性  能控度  能稳度  线性系统

英文关键词  delta-operator description  controllability  stabilizability  margins of controllability and stabilizablity  linear systems

中文摘要

      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．

英文摘要

      In this paper，the problems of controllability and stabilizability for the linear time-invariant 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 (τ)，where ? represents the sampling step. However，the corresponding criteria for the controllability and stability of the models are all the same as those traditional results in form.