Abstract
This chapter investigates the problem of fault detection filtering for S-MJS by a Takagi-Sugeno fuzzy approach. Attention is focused on the construction of a fault detection filter such that the estimation error converges to zero in the mean square and meets a prescribed system performance. The designed fuzzy model-based fault detection filter can guarantee the sensitivity of the residual signal to faults and the robustness of the external disturbances. By using the cone complementarity linearization algorithm, the existence conditions for the design of fault detection filters are provided, and the error between the residual signal and the fault signal can be made within a desired region.
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References
Patton, R.J., Frank, P.M., Clark, R.N.: Fault Diagnosis in Dynamic Systems: Theory and Applications. Prentice-Hall, Upper Saddle River (1989)
Shi, P., Boukas, E.K., Agarwal, R.K.: Control of Markovian jump discrete–time systems with norm bounded uncertainty and unknown delay. IEEE Trans. Autom. Control 44(11), 2139–2144 (1999)
Zhang, H., Shi, Y., Wang, J.: On energy-to-peak filtering for nonuniformly sampled nonlinear systems: a Markovian jump system approach. IEEE Trans. Fuzzy Syst. 22(1), 212–222 (2014)
El Ghaoui, L., Oustry, F., Ait Rami, M.: A cone complementarity linearization algorithm for static output-feedback and related problems. IEEE Trans. Autom. Control 42(8), 1171–1176 (1997)
Landry, M., Campbell, S.A., Morris, K., Aguilar, C.O.: Dynamics of an inverted pendulum with delayed feedback control. SIAM J. Appl. Math. 4(2), 333–351 (2005)
Tanaka, K., Wang, H.O.: Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach. Wiley, New York (2001)
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Li, F., Shi, P., Wu, L. (2017). Fuzzy Fault Detection Filtering for Semi-Markovian Jump Systems. In: Control and Filtering for Semi-Markovian Jump Systems. Studies in Systems, Decision and Control, vol 81. Springer, Cham. https://doi.org/10.1007/978-3-319-47199-0_8
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DOI: https://doi.org/10.1007/978-3-319-47199-0_8
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Online ISBN: 978-3-319-47199-0
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