参数不确定δ算子时滞系统的可靠保性能控制  

Reliable Guaranteed Cost Control for δ Operator Systems with Time-delay and Parameter Uncertainties

作　　者：王佑恩[1] 肖民卿[1] 

机构地区：[1]福建师范大学数学与计算机科学学院,福建福州350007

出　　处：《福建师范大学学报（自然科学版）》2011年第5期23-28,共6页Journal of Fujian Normal University：Natural Science Edition

基　　金：福建省高校服务海西建设重点项目-基于数学的信息化技术研究;福建省教育厅科技项目(JA08037)

摘　　要：研究δ算子描述的线性不确定时滞系统的可靠保性能控制问题.考虑系统含有参数范数有界不确定性和连续模型执行器故障,根据Lyapunov稳定性理论,给出对于所有允许的不确定性和执行器故障,均使闭环系统渐近稳定且给定性能指标具有一定上界的状态反馈控制器的存在条件,由此提出相应控制器的设计方法.通过数值算例验证了设计方法的可行性.The problem of reliable guaranteed cost control for a class of δ operator formulated systems with time-delay and parameter uncertainties is studied. The aim is to design a state feedback controller which makes the close-loop systems robust asymptotically stable and the value of cost function less than a certain upper bound for all admissible uncertainties and actuator failures. In the discussion, norm-bounded parameter uncertainties and actuator failures with continuous model are considered. Based on Lyapunov theory in delta domain, a sufficient condition of existence of the controllers is presented in terms of linear matrix inequalities. And then a design method of the controllers is proposed. A numerical example is given to illustrate the availability and effectiveness of the method.

关 键 词：δ算子系统 时滞系统 可靠控制 保性能控制 执行器故障 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]