Generalized Finite Frequency KYP Lemma and Applications to Fault Detection

Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 430)


In the last two decades, fault detection has attracted considerable attention from many researchers due to the increasing demand for reliability and safety in industrial processes, for example [135, 188, 288]. Some results on fault detection in frequency domain have been reported in literatures, such as [1, 56, 302]. The effects of modeling disturbances and faults usually occupy in different frequency ranges. Therefore, designing an filter to detect the fault by satisfying rigorous performances in finite frequency domain is a key task in this topic. Though weighting functions [150] and frequency gridding [286] can deal with the finite frequency requirements. However, both of the two methods are hard to avoid computational burden and guarantee gain property performances simultaneously. With the aid of the generalized KYP Lemma, new LMI conditions were given for the finite frequency performance index [115, 119]. There are several results in the literature along this line, please refer to [116, 117, 118].


Fault Detection Gain Condition Delta Operator Residual Generator Transfer Function Matrix 
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Copyright information

© Springer-Verlag GmbH Berlin Heidelberg 2012

Authors and Affiliations

  • Hongjiu Yang
    • 1
  • Yuanqing Xia
    • 2
  • Peng Shi
    • 3
  • Ling Zhao
    • 4
  1. 1.Institute of Electrical EngineeringYanshan UniversityQinhuangdaoChina, People’s Republic
  2. 2.School of AutomationBeijing Institute of TechnologyBeijingChina, People’s Republic
  3. 3.Department of Computing and Mathematical SciencesUniversity of GlamorganPontypriddUnited Kingdom
  4. 4.College of Mechanical EngineeringYanshan UniversityQinhuangdaoChina, People’s Republic

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