Abstract
Because of technical or economical limitation, it is not easy to obtain all system state variables of practical systems. In this case, it is preferable to design a controller without using all of the state variables. In this chapter, the observer-based stabilization problem of SMJSs is considered, where either the controller or the observer is mode-dependent or mode-independent. In order to obtain LMI conditions, the encountered cross terms are handled by two different techniques separately. New variables satisfying some inequalities are introduced to tackle some non-linear terms, which are used to obtain LMI conditions ultimately.
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References
Raouf J, Boukas EK (2004) Observer-based controller design for linear singular systems with Markovian switching. In: Proceedings of the 40th IEEE conference on decision and control, Atlantis, Paradise Island, Bahamas, pp 3619–3624
Wu HS (2009) Adaptive robust state observers for a class of uncertain nonlinear dynamical systems with delayed state perturbations. IEEE Trans Autom Control 54:1407–1412
Zhang XM, Lu GP, Zheng YF (2008) Observer design for descriptor Markovian jumping systems with nonlinear perturbations. Circuits Syst Signal Process 27:95–112
Wang GL, Bo HY Observer-based controller design for singular Markovian jumping systems. (Submitted)
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© 2015 Springer International Publishing Switzerland
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Wang, G., Zhang, Q., Yan, X. (2015). Observer-Based Feedback Stabilization. In: Analysis and Design of Singular Markovian Jump Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-08723-8_5
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DOI: https://doi.org/10.1007/978-3-319-08723-8_5
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-08722-1
Online ISBN: 978-3-319-08723-8
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