Fault reconstruction for Markovian jump systems with iterative adaptive observer

Automatica ◽  
2019 ◽  
Vol 105 ◽  
pp. 254-263 ◽  
Author(s):  
Liheng Chen ◽  
Peng Shi ◽  
Ming Liu
Author(s):  
Majid Parvizian ◽  
Khosro Khandani

This article proposes a new [Formula: see text] sliding mode control strategy for stabilizing controller design for fractional-order Markovian jump systems. The suggested approach is based on the diffusive representation of fractional-order Markovian jump systems which transforms the fractional-order system into an integer-order one. Using a new Lyapunov–Krasovskii functional, the problem of [Formula: see text] sliding mode control of uncertain fractional-order Markovian jump systems with exogenous noise is investigated. We propose a sliding surface and prove its reachability. Moreover, the linear matrix inequality conditions for stochastic stability of the resultant sliding motion with a given [Formula: see text] disturbance attenuation level are derived. Eventually, the theoretical results are verified through a simulation example.


Author(s):  
Wenhai Qi ◽  
Yaoyao Zhou ◽  
Lihua Zhang ◽  
Jinde Cao ◽  
Jun Cheng

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