一类含有控制时滞不确定系统的鲁棒H_∞控制  

Robust H_∞ Controller Design for a Class of Uncertain System with Control Delay

作　　者：屈百达 张玉军 

机构地区：[1]江南大学轻工过程先进控制教育部重点实验室,江苏无锡214122

出　　处：《控制工程》2015年第4期714-719,共6页Control Engineering of China

基　　金：高等学校学科创新引智计划资助(B12018);江苏高校优势学科建设工程资助项目;江苏省产学研联合创新资金项目(120767)

摘　　要：研究了一类具有控制时滞和外部扰动的线性时不变离散系统鲁棒控H∞控制器设计问题。基于Lyapunov稳定性理论、鲁棒控制理论和线性矩阵不等式处理方法,通过构造合适的Lyapunov-Krasovskii函数,推导出闭环控制系统渐近稳定的充分条件且得出鲁棒H∞控制律和其性能指标γ,并探讨了H∞最优控制问题,给出了最优H∞控制律参数化的设计方法,最后给出网络控制实际系统的例子对所得算法进行验证,说明分析方法和结果是有效可行的。The problem of robust H∞ controller design for uncertain linear time invariant discrete system with control delay and external disturbance is studied. Firstly, based on the Lyapunov stability theory, the robust control theory, the linear matrix inequality（LMI） processing methods, a appropriate Lyapunov-Krasovskii function is constructed, the sufficient conditions for the asymptotic stability of the closed loop control system are developed and the robust H∞control law and performance index γ are obtained. Then the H∞ optimal control problem is discussed and a method of optimal control parametric law is designed. Finally, the example of actual networked control systems is given to illustrate that the analysis method and results are valid and feasible.

关 键 词：不确定时滞系统 鲁棒H∞控制器 线性矩阵不等式 动态输出反馈 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]