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| Received:May 10, 2011Revised:March 08, 2012 |
| 基金项目:This work was supported by the National Natural Science Foundation of China (Nos. 50977008, 61034005), the National High Technology Research and Development Program of China (No. 2012AA040104), and National Basic Research Program of China (No. 2009CB320601). |
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| Robust fault detection filter design for a class of time-delay systems via equivalent transformation |
| Jilie ZHANG,Huaguang ZHANG,Feisheng YANG,Shenquan WANG |
| (School of Information Science and Engineering, Northeastern University;School of Information Science and Engineering, Northeastern University; State Key Laboratory of Synthetical Automation for Process Industries (Northeastern University)) |
| Abstract: |
| This paper is concerned with the robust fault detection filter (RFDF) design for a class of linear timeinvariant systems (LTISs) with output state time delays. Although existing results in literatures study the RFDF for timedelay 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. |
| Key words: Equivalent transformation Robust fault detection filter Output state time-delay system |
