短时延网络控制系统稳定性分析与控制新方法  

A Novel Method for Stability Analysis and Control of Networked Control Systems with Short Time-delay

作　　者：邹全 施骏业[2] 鞠金涛 ZOU Quan;SHI Junye;JU Jintao(School of Electrical and Information Engineering,Changzhou Institute of Technology,Changzhou 213032,Jiangsu,China;School of Mechanical Engineering,Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]常州工学院电气信息工程学院,江苏常州213032 [2]上海交通大学机械与动力工程学院,上海200240

出　　处：《济南大学学报(自然科学版)》2025年第2期291-298,305,共9页Journal of University of Jinan(Science and Technology)

基　　金：国家自然科学基金项目(62303075)。

摘　　要：为了减小现有时变短时延网络控制系统分析与控制结论的保守性,提出一种新的稳定性分析和控制器设计方法。首先将网络控制系统建模为具有指数不确定的线性离散系统,根据系统矩阵的不同的特征值选择不同的标称点,将指数不确定项转化为一个常数项和范数有界的不确定性之和,给出范数上界的最小值的确定方法;然后选择一般形式的Lyapunov函数,采用鲁棒控制理论和矩阵不等式技术,给出使系统渐近稳定和状态反馈控制器存在的充分条件。算例结果表明,本文中提出的方法能显著改善控制质量,提高最大允许时延上界,减小了结论的保守性。A novel stability analysis and controller design method was proposed to reduce the conservatism of existing conclusions for networked control system(NCS)with short time-varying delay(STVD).A NCS with STVD was modeled as a linear discrete system with exponential uncertainty.Different nominal point was selected according to different eigenvalue of system matrix,and then the exponential uncertainty was transformed into the sum of a constant part and a norm-bounded uncertainty.The method for determine the minimum value of the norm of uncertainty was given.Using robust control theory and matrix inequalities method,a common form Lyapunov function was selected to derive the sufficient conditions of asymptotic stability and the existence of the state feedback controller.Three numerical examples show that the proposed method can significantly improve control quality,increase the upper bound of maximum allowable delay bound,so the conservatism of the conclusions is reduced.

关 键 词：网络控制系统 时变时延 矩阵不等式 鲁棒控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]