离散时间系统零动态的研究现状和未来挑战  

Current development and future challenges for zero dynamics of discrete-time systems

作　　者：曾诚[1,2] 梁山[1,3] 李洪兵[1] 苏盈盈[1] 

机构地区：[1]重庆大学自动化学院,重庆400044 [2]贵阳学院数学系贵州贵阳550005 [3]重庆大学信息物理社会可信服务计算教育部重点实验室重庆400044

出　　处：《控制理论与应用》2013年第10期1213-1230,共18页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60574003);重庆市科委自然科学基金计划资助项目(cstc2012jjA40026);中央高校基本科研业务费资助项目(CDJXS12170006);贵州省科学技术基金资助项目(黔科合J字LKG[2013]46号)

摘　　要：在数字控制系统的分析与设计中,零动态是一个被广泛关注的重要概念,近年来取得了诸多新的理论与方法进展.本文首先描述了离散时间系统零动态理论的研究背景和研究意义,同时简要介绍了离散时间系统零动态理论所涉及到的3个相关问题,如:信号的采样与重建、连续时间系统的等价离散时间系统模型以及在离散连续时间系统过程中所需要的工具(q算子和δ算子).其次,立足现有文献,针对离散零动态的特点,从线性离散时间系统和非线性离散时间系统两个方面全面而深入地介绍了近年来离散零动态研究工作的进展.最后分析了零动态在数字控制系统分析与设计中的局限性以及出现的挑战性课题,并指明未来工作的研究方向.Zero dynamics has been broadly concerned in the analysis and design of digital control systems, about which a number of novel methods and algorithms have been developed recently. We give a description about the research back- ground and the significance of the zero dynamics theory for discrete-time systems, and briefly introduce several related issues of the discrete system zero dynamics theory, such as the signal sampling and reconstruction, discrete-time modeling of continuous-time systems, as well as the tools for discretization, i.e. q-operator and J-operator. According to the current literature, we categorize comprehensively the current development of the discretization zero dynamics in linear and nonlin- ear discrete-time systems. Finally, restrictions and challenging problems of zero dynamics in computer-controlled systems are put forward to readers, showing the future research directions in this field.

关 键 词：零动态 稳定性 离散时间系统 信号重建 采样控制器 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]