• 论文 •

### Delta算子描述不确定离散故障检测系统$H_\infty$滤波器设计

1. 福州大学电气工程与自动化学院, 福州 350116
• 出版日期:2015-01-25 发布日期:2015-04-08

LIN Ruiquan,ZHANG Yu. DESIGN OF ${\bm H}_{\bf \infty}$ FILTER FOR DELTA OPERATOR-FORMULATED UNCERTAIN DISCRETE-TIME FAULT DETECTION SYSTEMS[J]. Journal of Systems Science and Mathematical Sciences, 2015, 35(1): 65-74.

### DESIGN OF ${\bm H}_{\bf \infty}$ FILTER FOR DELTA OPERATOR-FORMULATED UNCERTAIN DISCRETE-TIME FAULT DETECTION SYSTEMS

LIN Ruiquan ,ZHANG Yu

1. College of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350108
• Online:2015-01-25 Published:2015-04-08

With consideration that the parameters of the Delta operator-formulated uncertain discrete-time systems are of additively norm-bounded uncertainty, based on linear matrix inequality (LMI) method, a design method of robust $H_\infty$ fault detection filter for the uncertain Delta operator-formulated discrete-time systems is discussed in this paper. By constructing an augmented system, with Lyapunov function theory and Schur complement lemma, a sufficient condition for the existence of the robust $H_\infty$ fault detection filter is given in LMI form. A numerical example is used to illustrate the effectiveness of the proposed approach. The contrastive analysis results show that with the designed method, the fault signal can be correctly detected when the parameters of the fault detection systems are of variations, while the fault signal can't be correctly detected if the variations are not considered when the fault detection filter is designed.

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