Delta算子系统的鲁棒D稳定可靠控制  

Reliable robust D-stabilization control of Delta operator systems with actuator failure

作　　者：肖民卿[1,2] 彭庆[3] 曹长修[1] 

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,福建福州350007 [3]重庆钢铁设计研究院,重庆400013

出　　处：《系统工程与电子技术》2009年第6期1506-1509,共4页Systems Engineering and Electronics

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)资助课题

摘　　要：研究具有执行器故障的Delta算子线性不确定系统鲁棒D-稳定可靠控制问题,即设计控制器,消除系统不确定性和执行器故障的影响,确保闭环系统极点落在复平面指定圆盘区域内。考虑执行器故障为连续故障模型的情形,利用线性矩阵不等式(linear matrix inequality,LMI)方法,给出Delta算子系统状态反馈鲁棒D-稳定可靠控制器存在的充分条件,并由此提出相应控制器设计方法。利用所得结论,给出Delta算子系统状态反馈鲁棒稳定可靠控制器存在的充分条件。数值算例表明设计方法的可行性和有效性。The reliable robust D-stabilization problem of the delta operator formulated linear uncertain systems is studied. The aim is to design a controller which can tolerate plant uncertainty and actuator failure, such that the poles of the closed-loop system are located in some disk on complex plane. The model of actuator failure is assumed to be continuous. A sufficient condition for the existence of reliable robust D-stabilization controllers is derived via the linear matrix inequality（LMI） approach, and a design procedure of such controllers is presented. Furthermore, a sufficient condition for the existence of reliable robust stabilization controllers is deduced. A numerical example is provided to demonstrate the availability of the design method.

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

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]