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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
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)
Mao, X.: Stability of stochastic differential equations with Markovian switching. Stoch. Process. Appl. 79, 45–67 (1999)
Mao, X.: Exponential stability of stochastic delay interval systems with Markovian switching. IEEE Trans. Autom. Control 47(10), 1604–1612 (2002)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-319-47199-0_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-47198-3
Online ISBN: 978-3-319-47199-0
eBook Packages: EngineeringEngineering (R0)