Robust fault detection filter design for a class of time-delay systems via equivalent transformation

• Published in: Journal of control theory and applications 2013-02, Vol.11 (1), p.54-60
• Main Authors: Zhang, Jilie, Zhang, Huaguang, Yang, Feisheng, Wang, Shenquan
• Format: Article
• Language: English
• Subjects: Complexity; Computational Intelligence; Control; Control and Systems Theory; Design engineering; Engineering; Equivalence; Fault detection; Faults; Mechatronics; Optimization; Robotics; Systems Theory; Time delay; Transformations; Transforms; 时滞系统; 时间延迟系统; 滤波器设计; 等价变换; 线性时不变系统; 设计方法; 输出状态; 鲁棒故障检测
• ISSN: 1672-6340; 1993-0623
• DOI: 10.1007/s11768-013-1097-z

This paper is concerned with the robust fault detection filter （RFDF） design for a class of linear time- invariant systems （LTISs） with output state time delays. Although existing results in literatures study the RFDF for time- delay systems, few is concerned with the output state time-delay systems. The basic idea of our study is to eliminate the time delays of system and transform it to a delay-free system （i.e., a linear time-invariant system without time delays） by the bicausal change of coordinates approach. Then, we design the RFDF for the delay-free LTIS, which is equivalent to the original system with time delays. We first introduce a class of systems with output state time delays, whose fault can be detected by using the RFDF design approach for delay-free systems. Then, since the RFDF design problem can be formulated as a standard H-infinity-model matching problem, it is solved by using H-infinity-optimization LMI techniques. In the last, the adaptive threshold of fault detection is chosen and an illustrative design example is used to demonstrate the validity of the design approach.