二维FM系统的同时故障检测与控制  

Simultaneous Fault Detection and Control of Two-dimensional Fornasini-Marchesini Systems

作　　者：吴小雪 丁大伟[1] 任莹莹 刘贺平[1] WU Xiao-Xue;DING Da-Wei;REN Ying-Ying;LIU He-Ping(School of Automation and Electrical Engineering,University of Science and Technology Beijing,Beijing 100083;College of Science,Liaoning Technical University,Fuxin 123000)

机构地区：[1]北京科技大学自动化学院,北京100083 [2]辽宁工程技术大学理学院,阜新123000

出　　处：《自动化学报》2021年第1期224-234,共11页Acta Automatica Sinica

基　　金：国家自然科学基金(61873028,61473032)资助。

摘　　要：本文研究二维Fornasini-Marchesini(FM)系统的同时故障检测与控制问题.针对故障和干扰的有限频特性,设计满足有限频性能指标的故障检测滤波器/控制器,在实现故障检测目标的同时兼顾控制性能.借助于二维广义KYP引理,将有限频性能指标转化为矩阵不等式条件.在此基础上,采用构造切平面的方法以及两步算法解决设计过程中出现的非凸问题.最后,将所提出的方法应用于带钢轧制过程以验证其有效性.The paper addresses the problem of integrated fault detection and control of two-dimensional(2-D)FornasiniMarchesini(FM)systems.A fault detection filter/controller is designed simultaneously to detect faults in finite frequency domain and satisfy some control specifications.By means of the generalized KYP lemma,the finite frequency performance indices are transformed into matrix inequality conditions.Based on these conditions,a method of constructing a tangent plane and a two-step algorithm are proposed to solve the obtained non-convex problem.The effectiveness of the proposed method is illustrated by an example about metal rolling process.

关 键 词：二维系统 FM模型 故障检测 集成设计 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]