scholarly journals Unitary Approximations in Fault Detection Filter Design

2016 ◽  
Vol 2016 ◽  
pp. 1-14 ◽  
Author(s):  
Dušan Krokavec ◽  
Anna Filasová ◽  
Pavol Liščinský
Keyword(s):  
Transfer Function ◽  
Fault Detection ◽  
Filter Design ◽  
Mimo Systems ◽  
Singular Values ◽  
Linear Matrix ◽  
Fault Detection Filter ◽  
Design Requirements ◽  
Detection Filter ◽  
Function Matrix

The paper is concerned with the fault detection filter design requirements that relax the existing conditions reported in the previous literature by adapting the unitary system principle in approximation of fault detection filter transfer function matrix for continuous-time linear MIMO systems. Conditions for the existence of a unitary construction are presented under which the fault detection filter with a unitary transfer function can be designed to provide high residual signals sensitivity with respect to faults. Otherwise, reflecting the emplacement of singular values in unitary construction principle, an associated structure of linear matrix inequalities with built-in constraints is outlined to design the fault detection filter only with a Hurwitz transfer function. All proposed design conditions are verified by the numerical illustrative examples.

Robust Fault Detection for Network-Based System with Time-Varying Bounded Delay

2012 ◽  
Vol 503-504 ◽  
pp. 1389-1392
Author(s):  
Li Min Chen
Keyword(s):  
Fault Detection ◽  
Flight Control ◽  
Upper Bound ◽  
Filter Design ◽  
Estimation Error ◽  
Linear Matrix ◽  
Fault Detection Filter ◽  
Detection Approach ◽  
Robust Fault Detection ◽  
Detection Filter

A robust fault detection approach for network-based system is discussed in this paper. The fault detection problem is converted into fault detection filter design. The network-induced delay is assumed to have both the upper bound and the lower bound, which is more general compared with only considering the upper bound. The Lyapunov-Krasovskii functional and the linear matrix inequality (LMI)-based procedure are adopted to design the filter. And the filter can guarantee that the estimation error satisfies the H∞ constraint. Fault detection filter is designed for a flight control system and the effectiveness is verified by the simulation results.

scholarly journals Fault Detection Filter Design for Stochastic Systems with Mixed Time-Delays and Parameter Uncertainties

2013 ◽  
Vol 2013 ◽  
pp. 1-11
Author(s):  
Liyuan Hou ◽  
Shouming Zhong ◽  
Hong Zhu ◽  
Yong Zeng ◽  
Lin Shi
Keyword(s):  
Fault Detection ◽  
Time Delays ◽  
Stochastic Systems ◽  
Filter Design ◽  
Main Idea ◽  
Linear Matrix ◽  
Parameter Uncertainties ◽  
Fault Detection Filter ◽  
Mixed Time Delays ◽  
Detection Filter

This paper purposes the design of a fault detection filter for stochastic systems with mixed time-delays and parameter uncertainties. The main idea is to construct some new Lyapunov functional for the fault detection dynamics. A new robustly asymptotically stable criterion for the systems is derived through linear matrix inequality (LMI) by introducing a comprehensive different Lyapunov-Krasovskii functional. Then, the fault detection filter is designed in terms of linear matrix inequalities (LMIs) which can be easily checked in practice. At the same time, the error between the residual signal and the fault signal is made as small as possible. Finally, an example is given to illustrate the effectiveness and advantages of the proposed results.

Robust optimal Hi/H∞ fault detection and its applications in a TGSCM control system

2016 ◽  
Vol 40 (3) ◽  
pp. 719-732 ◽  
Author(s):  
Maiying Zhong ◽  
Shusheng Li
Keyword(s):  
Transfer Function ◽  
Fault Detection ◽  
Singular Values ◽  
Optimization Criterion ◽  
Sensor Faults ◽  
Threshold Selection ◽  
Fault Detection Filter ◽  
Ratio Criterion ◽  
Unknown Disturbances ◽  
Detection Filter

This paper aims to deal with the problem of fault detection in a closed-loop mode for a three-axis gyro-stabilized camera mount under the consideration of unknown disturbances. First, the influences of potential actuator and sensor faults are analysed and, based on this, the faults model as well as an equivalent additive fault input are introduced. For the purpose of fault detection, an observer-based fault detection filter is considered to generate the residual. The sensitivity of the residual to fault is evaluated by the non-zero singular values of the transfer function from fault to residual, whereas the robustness to disturbance is represented by the H∞-norm of the transfer function from disturbance to residual. To obtain a maximum sensitivity/robustness ratio criterion, the design of fault detection filter is formulated as an Hi/ H∞ optimization problem and the unified solutions for the optimization criterion are given. For residual evaluation, a window evaluation function is developed and an analysis of threshold selection is given to reduce the conservativeness of fault detection. Finally, experimental results are presented to demonstrate the effectiveness of the proposed method. It is demonstrated that the proposed method can effectively detect the provided fault as soon as possible.

Full- and Reduced-Order Fault Detection Filter Design With Application in Flow Transmission Lines

2018 ◽  
Vol 141 (2) ◽  
Author(s):  
Saeed Salavati ◽  
Karolos Grigoriadis ◽  
Matthew Franchek ◽  
Reza Tafreshi
Keyword(s):  
Fault Diagnosis ◽  
Fault Detection ◽  
Filter Design ◽  
Sufficient Conditions ◽  
Fault Detection And Isolation ◽  
Linear Matrix ◽  
Reduced Order ◽  
Fault Detection Filter ◽  
Order Filter ◽  
Detection Filter

The full- and reduced-order fault detection filter design is examined for fault diagnosis in linear time-invariant (LTI) systems in the presence of noise and disturbances. The fault detection filter design problem is formulated as an H∞ problem using a linear fractional transformation (LFT) framework and the solution is based on the bounded real lemma (BRL). Necessary and sufficient conditions for the existence of the fault detection filter are presented in the form of linear matrix inequalities (LMIs) resulting in a convex problem for the full-order filter design and a rank-constrained nonconvex problem for the reduced-order filter design. By minimizing the sensitivity of the filter residuals to noise and disturbances, the fault detection objective is fulfilled. A reference model can be incorporated in the design in order to shape the desired performance of the fault detection filter. The proposed fault detection and isolation (FDI) framework is applied to detect instrumentation and sensor faults in fluid transmission and pipeline systems. To this end, a lumped parameter framework for modeling infinite-dimensional fluid transient systems is utilized and a low-order model is obtained to pursue the instrumentation fault diagnosis objective. Full- and reduced-order filters are designed for sensor FDI. Simulations are conducted to assess the effectiveness of the proposed fault detection approach.

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