Delta算子系统的鲁棒D稳定可靠控制

Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (6): 1506-1509.

Delta算子系统的鲁棒D稳定可靠控制

肖民卿^1,2, 彭庆³, 曹长修¹

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

收稿日期:2008-03-05 修回日期:2008-04-08 出版日期:2009-06-20 发布日期:2010-01-03
作者简介:肖民卿(1970- ),男,副教授,博士研究生,主要研究方向为鲁棒控制,Delta算子控制.E-mail:xxmmqq@finu.edu.cn
基金资助:
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

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

XIAO Min-qing^1,2, PENG Qing³, CAO Chang-xiu¹

1. Coll. of Automation, Chongqing Univ., Chongqing 400044, China;
2. School of Mathematics and Computer Science, Fujian Normal Univ., Fuzhou 350007, China;
3. Chongqing Iron & Steel Design Inst., Chongqing 400013, China

Received:2008-03-05 Revised:2008-04-08 Online:2009-06-20 Published:2010-01-03

摘要/Abstract

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。

Abstract: 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.

中图分类号:

TP13

肖民卿, 彭庆, 曹长修. Delta算子系统的鲁棒D稳定可靠控制[J]. Journal of Systems Engineering and Electronics, 2009, 31(6): 1506-1509.

XIAO Min-qing, PENG Qing, CAO Chang-xiu. Reliable robust D-stabilization control of Delta operator systems with actuator failure[J]. Journal of Systems Engineering and Electronics, 2009, 31(6): 1506-1509.

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