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State Estimation and Sliding Mode Control for Semi-Markovian Jump Systems

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Book cover Control and Filtering for Semi-Markovian Jump Systems

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 81))

Abstract

This chapter investigates the state estimation and sliding mode control problems for S-MJS with mismatched uncertainties. A sliding surface is then constructed and a sliding mode controller is synthesized to ensure that the S-MJS satisfying the reaching condition. Further, an observer-based sliding mode control problem is investigated. Sufficient conditions are established for the solvability of the desired observer. It is shown that the proposed SMC law based on the estimated states can guarantee that the sliding modes within both the state estimation space and the estimation error space are attained simultaneously.

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References

  1. Hou, Z., Luo, J., Shi, P., Nguang, S.K.: Stochastic stability of Itô differential equations with semi-Markovian jump parameters. IEEE Trans. Autom. Control 51(8), 1383–1387 (2006)

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Correspondence to Peng Shi .

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Li, F., Shi, P., Wu, L. (2017). State Estimation and Sliding Mode Control 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_4

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  • DOI: https://doi.org/10.1007/978-3-319-47199-0_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-47198-3

  • Online ISBN: 978-3-319-47199-0

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