具有输入时滞的不确定系统的H^∞控制  

H∞ Control of Linear Uncertain Systems with Time-delay Input

作　　者：计国君[1] 

机构地区：[1]厦门大学管理学院,福建厦门361005

出　　处：《厦门大学学报（自然科学版）》2005年第1期10-12,共3页Journal of Xiamen University：Natural Science

摘　　要：时滞是很多实际问题中固有的影响因素,而具有输入时滞的不确定性系统也是反映诸多问题的本质属性.本文基于Riccati方程方法,利用状态反馈控制,研究了具输入时滞不确定控制系统的H∞状态反馈控制器设计问题,同时利用线性矩阵不等式(LMI)方法与构建Lyapunov泛函,得到了该类系统稳定性的易于应用的充分条件,这些条件在实际应用中是很容易验证的.Time-delay is an important factor that affected the physical problems dynamics,and the uncertain systems with time-delay input often show that many problems characteristics.In this paper,based on a technique of Riccati equation,the problem of H~∞ controller design is discussed for a class of linear uncertainty systems with time-delay input via the state feedback control.The stable sufficient conditions of the system that it is easy to application are given,our approaches based on the linear matrix inequality (LMI) and Lyapunov functional,and those conditions are easy to test in the physical application.

关 键 词：H^∞控制 时滞 不确定系统 输入 线性矩阵不等式(LMI) 状态反馈控制 LYAPUNOV泛函 充分条件 RICCATI方程 实际问题 

分 类 号：N945.12[自然科学总论—系统科学] TP273[自动化与计算机技术—检测技术与自动化装置]