Delta算子系统简述
An overview of Delta operator systems

本文围绕Delta算子系统基本理论, 对Delta算子系统的最新进展做了简要的综述. 首先, 本文介绍Delta算子系统的研究背景. 其次, 给出Delta算子系统的基本性能, 并与传统移位算子离散系统进行性能对比. 再次, 阐述了Delta算子系统在鲁棒控制、滤波器设计、时滞系统、故障诊断及滑模控制上的研究进展. 然后, 对Delta算子系统在有限频域和网络化控制两个方向上的未来研究工作做出了展望. 最后, 通过一个仿真表明Delta算子系统在快速采样条件下具有数值优势.
Concerning the basic theory of Delta operator systems, we give a brief overview for its latest progress. Firstly, the background of Delta operator systems is introduced. Secondly, basic performances of Delta operator systems and performance comparisons with traditional shift operator discrete-time systems are given subsequently. Thirdly, some recent results on robust control, filter design, time delays and fault detection are presented for Delta operator systems. Fourthly, some perspective researches are proposed for Delta operator systems in finite frequency and networked control. Finally, a numerical example is given to illustrate the advantages of Delta operator systems in numerical properties at high sampling rates.