具有干扰抑制的PI观测器的设计及其应用

吉林大学学报(工学版) ›› 2004, Vol. ›› Issue (2): 277-281.

具有干扰抑制的PI观测器的设计及其应用

王占山, 张化光

东北大学, 信息科学与工程学院, 辽宁, 沈阳, 110004

收稿日期:2003-09-27 出版日期:2004-04-01
通讯作者: 张化光(1959- ),男,教授,博士生导师.E-mail:z_hg@163.net
基金资助:
国家自然科学基金资助项目(60274017);沈阳市自然科学基金资助项目(1022033-1-07).

Design of proportional-integral observer and its application in control law with fault compensation and disturbance rejection

WANG Zhan-shan, ZHANG Hua-guang

College of Information Science and Engineering, Northeastern University, Shenyang 110004, China

Received:2003-09-27 Online:2004-04-01

摘要/Abstract

摘要： 首先利用线性矩阵不等式设计了比例积分观测器,并在外界干扰是能量有界的情况下,设计了具有干扰抑制的状态观测器,使得干扰对状态估计的影响具有给定的H_∞性能。然后将故障估计结果和干扰抑制作用同时加入到控制律当中,使得所设计的系统在跟踪给定的参考模型的同时,也能得到系统所受的外界故障估计。最后通过仿真实例验证了所设计的观测器和所提出的控制方法的有效性。

关键词: 故障估计, 干扰抑制, 比例积分观测器, 补偿控制, 线性矩阵不等式

Abstract: A full-order proportional-integral observer is designed based on LMI(Linear matrix inequality) and a control law with fault compensation and disturbance rejection is proposed. In an L₂-gain sense of the disturbance, an action of disturbance rejection is included in the observer in order to suppress the effect of disturbance on the estimation of state and satisfy the given H_∞ performance. Then in the case of existing of both faults and disturbances, a hybrid control law is designed, which consists of actions of both fault estimation and disturbance rejection, to make the system track the given reference model. Thus in the case of fault, the system not only can give fault estimation, but also keep the system perform well and prevent the control performance worsening. At last, an illustrative design example is employed to demonstrate the effectiveness of the proposed approach.

Key words: fault estimation, disturbance rejection, proportional-integral observer, compensation control, LMI

中图分类号:

V249

王占山, 张化光. 具有干扰抑制的PI观测器的设计及其应用[J]. 吉林大学学报(工学版), 2004, (2): 277-281.

WANG Zhan-shan, ZHANG Hua-guang. Design of proportional-integral observer and its application in control law with fault compensation and disturbance rejection[J]. 吉林大学学报(工学版), 2004, (2): 277-281.

参考文献

[1] SAIF M. Reduced order proportional integral observer with application［J］.Journal of Guidance, Control and Dynamics, 1993, 16(5): 985-988.
[2] SHAFAI B, BEALE S, Niemann H H.LTR design of discrete time proportional-integral observers［J］. IEEE Transactions on Automatic Control, 1996,41(6):1056-1062.
[3] MORALS America, ALVAREZ-RAMIREZ Jose. A PI observer for a class of nonlinear oscillators［J］. Physics Letters A, 2002,297:205-209.
[4] 李振营,沈毅,胡恒章.具有未知输入干扰的观测器设计［J］.航空学报,2000,21(5):471-473.
[5] AGUILAR R,GONZALEZ J,BARRON M.Robust PI² controller for continuous bioreactors［J］. Process Biochemistry, 2001,36:1007-1013.
[6] AGUILAR Ricardo, GONZALEZ Jesuas, ALVAREZ-RAMIREZ Josea. Control of a fluid catalytic cracking unit based on proportional-integral reduced order observers［J］. Chemical Engineering Journal,1999,75:77-85.
[7] BESANCON Gildas. High-gain observation with disturbance attenuation and application to robust fault detection［J］. Automatica,2003,39:1095-1102.
[8] 张化光,黎明.基于H∞观测器原理的模糊自适应控制器设计［J］.自动化学报,2002,28(6):969-973.
[9] CHILALI M, GAHINET P. H_∞ design with pole placement constraints: an LMI approach［J］. IEEE Transactions on Automatic Control,1996,41(3):358-367.
[10] 俞立.鲁棒控制线性矩阵不等式处理方法［M］.北京:清华大学出版社,2002.

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