Delta算子时滞系统的可靠D-镇定  

Reliable D-stabilization for time-delay systems of Delta operator

作　　者：肖民卿[1,2] 苏宏业[1] 徐巍华[1] 

机构地区：[1]浙江大学智能系统与控制研究所,浙江杭州310027 [2]福建师范大学数学与计算机科学学院,福建福州350007

出　　处：《控制理论与应用》2013年第1期77-83,共7页Control Theory & Applications

基　　金：国家自然科学基金重点资助项目(61134007);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

摘　　要：研究同时含有执行器故障和传感器故障的Delta算子时滞系统的鲁棒可靠D--镇定问题.利用矩阵特征值理论和线性矩阵不等式方法,给出了Delta算子时滞系统D--稳定的充分条件,进而,针对同时含有执行器故障和传感器故障的Delta算子范数有界参数不确定时滞系统,设计鲁棒可靠D--镇定状态反馈控制器,使得对于所有容许的不确定性、执行器故障和传感器故障,Delta算子闭环时滞系统的极点均落在复平面指定圆盘区域内.最后,通过数值算例验证了控制器设计方法的可行性和有效性.The robust reliable D-stabilization for linear uncertain time-delay systems of delta operator is studied. Based on matrix theory, a sufficient condition of D-stability for the uncertain time-delay system of delta operator is derived based on the linear matrix inequality （LMI） approach. A design method for the state-feedback robust reliable controller is developed for a class of uncertain time-delay systems of delta operator, which are with actuator failure and sensor failure. Using the controller, the poles of the closed-loop time-delay system of delta operator are displaced inside a specified disk on the complex plane for all admissible uncertainties and faults. A numerical example is provided to demonstrate the availability of the design method.

关 键 词：D-稳定 D-镇定 Delta算子时滞系统 可靠控制 执行器故障 传感器故障 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]