基于时滞的离散终端滑模控制系统研究

项目名称： 基于时滞的离散终端滑模控制系统研究

项目编号： No.61503080

项目类型： 青年科学基金项目

立项/批准年度： 2016

项目学科： 自动化技术、计算机技术

项目作者： 阎妍

作者单位： 东南大学

项目金额： 21万元

中文摘要： 离散与时滞是控制工程经常面临的问题，离散时滞系统的控制是有着重要意义的难点课题。以终端滑模控制为代表的滑模变结构控制方法大量存在于现实系统的控制应用中，其对离散时滞系统的控制研究还存在诸多尚待解决的问题。针对许多实际控制系统具有离散时滞这一事实，本项目就离散终端滑模控制系统开展工作，并进一步研究基于时滞的离散终端滑模控制系统。具体地：1) 利用离散系统分析理论和迭代法研究离散化的终端滑模控制系统的动态行为特性、稳定性及鲁棒性；2) 研究离散化对时滞终端滑模控制系统的影响，建立采样时间、时滞参数及控制器参数的关系使闭环系统达到预期的性能指标；3) 研究离散时滞系统的终端滑模观测器及控制器设计问题。项目的最终目标是通过探索离散时滞系统的终端滑模控制来实现终端滑模控制方法在离散时滞多智能体系统等网络控制系统中的应用，体现本项目的实际价值。

中文关键词： 终端滑模控制；差分方程；离散化；观测器；时滞系统

英文摘要： Discrete time and delay are the commonly encountered problems in control engineering. Assigning control laws for the discrete time-delay system is a difficult but significant issue. The sliding mode control method represented by the terminal sliding mode control often emerges in practical applications. However, there exist many unsolved problems in control of these systems. From the fact that discrete time and delay exist in many control systems, we focus on discrete time terminal sliding mode control systems with time delay and do the following works: 1) For the discretized terminal sliding mode control system, we use discrete system analysis theory and iterative method to analyze the dynamic behaviors, stability and robustness of the discretized system. 2) For discretization effect on terminal sliding mode control system with delay, we establish relations of sampling time, delay and system parameters to make sure the closed system to achieve desired performances. 3) For the discrete time-delay system with output feedback, we are interested in designing the terminal sliding mode observer and controller. By studying terminal sliding mode control of the discrete time-delay system, the object of this program is that applying above results into control network systems represented by multi-agent systems to demonstrate the significance of this program.

英文关键词： terminal sliding mode control;difference equation;discretization;observer;time-delay system