4.6 Article

Robust fault detection filter design for a class of discrete-time conic-type non-linear Markov jump systems with jump fault signals

期刊

IET CONTROL THEORY AND APPLICATIONS
卷 14, 期 14, 页码 1912-1919

出版社

INST ENGINEERING TECHNOLOGY-IET
DOI: 10.1049/iet-cta.2019.1316

关键词

stochastic systems; filtering theory; Markov processes; nonlinear control systems; control system synthesis; time-varying systems; linear matrix inequalities; robust control; Lyapunov methods; uncertain systems; fault diagnosis; jump fault signals; robust fault detection filter design problem; discrete-time conic-type nonlinear Markov jump systems; conic-type nonlinearities; augmented Markov jump systems; designed fault detection filter

资金

  1. National Natural Science Foundation of China [61673001]
  2. Foundation for Distinguished Young Scholars of Anhui Province [1608085J05]
  3. Key Support Program of University Outstanding Youth Talent of Anhui Province [gxydZD2017001]
  4. Serbian Ministry of Education, Science and Technological Development [451-03-68/2020-14/200108]

向作者/读者索取更多资源

This study investigates the robust fault detection filter design problem for a class of discrete-time conic-type nonlinear Markov jump systems with jump fault signals. The conic-type non-linearities satisfy a restrictive condition that lies in an ndimensional hyper-sphere with an uncertain centre. A crucial idea is to formulate the robust fault detection filter design problem of non-linear Markov jump systems as H-infinity filtering problem. The authors aim to design a fault detection filter such that the augmented Markov jump systems with conic-type non-linearities are stochastically stable and satisfy the given H-infinity performance against the external disturbances. By means of the appropriate mode-dependent Lyapunov functional method, sufficient conditions for the existence of the designed fault detection filter are presented in terms of linear matrix inequalities. Finally, a practical circuit model example is employed to demonstrate the availability of the main results.

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