A Lyapunov-based distributed consensus filter for a class of nonlinear stochastic systems

Automatica ◽  
2017 ◽  
Vol 86 ◽  
pp. 53-62 ◽  
Author(s):  
Ahmadreza Jenabzadeh ◽  
Behrouz Safarinejadian
Keyword(s):  
Stochastic Systems ◽  
Distributed Consensus ◽  
Nonlinear Stochastic Systems ◽  
Consensus Filter

scholarly journals Distributed Fault Detection for a Class of Nonlinear Stochastic Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Bingyong Yan ◽  
Huazhong Wang ◽  
Huifeng Wang
Keyword(s):  
Fault Detection ◽  
Stochastic Systems ◽  
Linear Matrix ◽  
False Alarms ◽  
Nonlinear Stochastic Systems ◽  
Design Procedures ◽  
Fault Detection Filter ◽  
Consensus Filter ◽  
Distributed Fault Detection ◽  
Detection Filter

A novel distributed fault detection strategy for a class of nonlinear stochastic systems is presented. Different from the existing design procedures for fault detection, a novel fault detection observer, which consists of a nonlinear fault detection filter and a consensus filter, is proposed to detect the nonlinear stochastic systems faults. Firstly, the outputs of the nonlinear stochastic systems act as inputs of a consensus filter. Secondly, a nonlinear fault detection filter is constructed to provide estimation of unmeasurable system states and residual signals using outputs of the consensus filter. Stability analysis of the consensus filter is rigorously investigated. Meanwhile, the design procedures of the nonlinear fault detection filter are given in terms of linear matrix inequalities (LMIs). Taking the influence of the system stochastic noises into consideration, an outstanding feature of the proposed scheme is that false alarms can be reduced dramatically. Finally, simulation results are provided to show the feasibility and effectiveness of the proposed fault detection approach.

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