基于连续故障模型的Delta算子系统可靠鲁棒H_∞控制  

Reliable robust H_∞ control for Delta operator systems with continuous failure model

作　　者：陈金玉[1] 肖民卿[2] 

机构地区：[1]重庆大学自动化学院,重庆400044 [2]福建师范大学数学与计算机科学学院,福州350007

出　　处：《控制与决策》2009年第9期1394-1397,1401,共5页Control and Decision

基　　金：国家自然科学基金项目(60673014);福建省教育厅科技基金项目(JA08037)

摘　　要：研究具有执行器故障的Delta算子线性不确定系统的可靠鲁棒H∞问题.设计控制器,确保在执行器发生故障时闭环系统仍能保持鲁棒稳定,且满足给定的H∞指标.针对执行器连续故障模型,运用线性矩阵不等式方法,得到Delta算子系统α-次优可靠鲁棒H∞状态反馈控制器的存在条件和设计方法,并进一步给出了Delta算子系统最优可靠鲁棒H∞控制器的设计方法.数值算例表明,该设计方法是有效而可行的.The reliable robust H∞ control problem is studied for the Delta operator systems with actuator failure. The purpose is to design a controller which can tolerate actuator failures, such that the Delta operator closed-loop system is asymptotic stable for all admissible uncertainties, and the H∞-performance index of the closed-loop system is less than a given upper bound. A more practical model of actuator failure, continuous failure model, is considered. A sufficient condition for the existence of the state feedback a-suboptimal reliable robust H∞ controllers is derived by using the linear matrix inequality approach. Then the design procedures of such controllers and optimal reliable robust H∞ controllers are proposed respectively. A numerical example demonstrates the effectiveness and feasibility of the design methods.

关 键 词：DELTA算子系统 执行器故障 可靠控制 鲁棒H∞控制 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]