Title
Fault-Tolerant Control for Nonlinear Markovian Jump Systems via Proportional and Derivative Sliding Mode Observer Technique
Abstract
This paper investigates the problem of sensor fault estimation and fault-tolerant control for Markovian jump systems with time delay and Lipschitz nonlinearities. The issues involved here are: i) sensor faults; ii) model Lipchitz nonlinearities; iii) system structure changes governed by Markovian jumping parameters; and iv) time delay in system states. Such type of mathematical models can represent a large number of practical systems in the actual engineering. A new estimation technique (named proportional and derivative sliding mode observer) is developed to deal with this design problem. The proposed observer is mode-dependent type in which a derivative gain and a proportional gain are introduced to provide more design freedom, and a discontinuous input term is introduced to eliminate the effects of sensor faults. By employing the developed estimation technique, the asymptotic estimations of system states and sensor faults can be obtained simultaneously. Based on the estimation, an observer-based fault-tolerant control scheme is developed to stabilize the resulting closed-loop system. Finally, a numerical example is presented to illustrate the effectiveness and applicability of the proposed technique.
Year
DOI
Venue
2011
10.1109/TCSI.2011.2157734
IEEE Trans. on Circuits and Systems
Keywords
Field
DocType
observers,proportional gain,time delay,sensor fault,pd control,nonlinear markovian jump system,delay systems,sliding mode observer,fault-tolerant control,lipschitz nonlinearities,sensor fault estimation,state estimation,mathematical model,derivative gain,closed-loop system,fault tolerance,fault estimation,observer-based fault-tolerant control,nonlinear control systems,asymptotic estimation,lipschitz nonlinearity,control nonlinearities,system structure,proportional and derivative sliding mode observer,markov processes,closed loop systems,markovian jump system,markovian jumping parameter,variable structure systems,fault tolerant,dependent types,structural change,stability analysis,fault tolerant system
State observer,Markov process,Nonlinear system,Proportional control,Control theory,Fault tolerance,Lipschitz continuity,Mathematical model,Observer (quantum physics),Mathematics
Journal
Volume
Issue
ISSN
58
11
1549-8328
Citations 
PageRank 
References 
92
3.44
11
Authors
4
Name
Order
Citations
PageRank
Ming Liu196340.79
Peng Shi215816704.36
Lixian Zhang33028125.86
Xudong Zhao4202794.90