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Finite frequency fault detection for a class of nonhomogeneous Markov jump systems with nonlinearities and sensor failures

  • Yue Long
  • Ju H. ParkEmail author
  • Dan Ye
Original Paper
  • 33 Downloads

Abstract

In this paper, the finite frequency fault detection (FD) problem is addressed for a class of nonhomogeneous Markov jump systems with nonlinearities and sensor failures. Compared with the existing sensor fault models that contain many known faulty modes, the fault model in this paper is more general since it not only covers more types of sensor failures but also does not need to know the fault information in advance. Then, by means of finite frequency stochastic performance indices, a novel FD scheme is proposed. Some new lemmas, in which the nonlinear item and nonhomogeneous Markov switching are dealt appropriately, are developed to capture the stability of the system and desired finite frequency performances. Then, by the derived lemmas, sufficient conditions with potentially less conservativeness are investigated to guarantee the existence of the FD filters. Finally, an application to HiMAT vehicle is given to illustrate the effectiveness of the derived theoretical results.

Keywords

Fault detection Finite frequency Nonhomogeneous Nonlinearities Sensor failure 

Notes

Acknowledgements

This work was supported by 2017 Yeungnam University Research Grant. Also, the work of Y. Long and D. Ye was supported by NSFC (Nos. 61773187, 61773097), the Fundamental Research Funds for the Central Universities (No. N160402004).

Compliance with ethical standards

Conflict of interest

All the authors declare that there are no potential conflicts of interest and approval of the submission.

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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.School of PhysicsLiaoning UniversityShenyangPeople’s Republic of China
  2. 2.Department of Electrical EngineeringYeungnam UniversityKyongsanRepublic of Korea
  3. 3.College of Information Science and EngineeringNortheastern UniversityShenyangPeople’s Republic of China

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