基于Delta算子模型的时滞系统故障检测滤波器-《郑州大学学报(工学版)》

文章信息/Info

Title:: Fault Detection Filter for Delta Operator-Based Systems with Time-Delay

作者:: 张端金; 孟姗; 郭皓; 等.; 郑州大学信息工程学院,河南郑州,450001, 郑州大学信息工程学院,河南郑州,450001, 郑州大学信息工程学院,河南郑州,450001, 郑州大学信息工程学院,河南郑州,450001

Author(s):: ZHANG Duanjin; MENG Shan; GUO Hao; etc;; School of Information Engineering, Zhengzhou University, Zhengzhou 450001, China

Keywords:: discrete time systems with time-delay; fault detection; Delta operator; filter model

摘要:: 研究了基于Delta算子描述的状态时滞系统鲁棒故障检测滤波器的设计问题.在传统移位算子描述的滤波器设计基础上,给出Delta算子描述的时滞系统滤波器模型,利用线性矩阵不等式(LMI)方法,导出了此类系统的故障检测滤波器存在的充分务件和显示表达式,当该LMI具有可行解时,可得到Delta算子描述的时滞系统最优鲁棒故障检测滤波器.仿真结果表明:连续时滞系统和离散时滞系统的故障检测问题可纳入到Delta算子的统一框架中.

Abstract:: This paper studies the design problem of robust fault detection filters for Delta operator discrete sys.tems with state delays. Based on the traditional filter using the shift operator, a new filter model to fault detec.tion for Delta operator systems with time-delay is given. Sufficient conditions for the existence of the robustfault detection filter and its explicit expressions are developed in terms of linear matrix inequalities ( LMls) approach. When [.Mls are feasible, the optimal robust fault detection filters of Delta operator formulated systemsare obtained. The presented results can bring the fault detection for continuous time systems and discrete timesystems into the unified Delta operator framework, The simulations show the effectiveness of the proposed approach.