A Geometric Approach to Fault Detection and Isolation of Linear Discrete-time Systems

2019 ◽  
Author(s):  
Zhao Zhang ◽  
Jie Huang ◽  
Xiao He
Keyword(s):  
Fault Detection ◽  
Discrete Time ◽  
Geometric Approach ◽  
Fault Detection And Isolation ◽  
Discrete Time Systems ◽  
Time Systems

Reference Model-based Fault Detection and Isolation for Discrete-time Systems Subject to Persistent Disturbances

2020 ◽  
Author(s):  
Silvane Schons ◽  
Daniel Coutinho ◽  
Michel Kinnaert
Keyword(s):  
Fault Detection ◽  
Discrete Time ◽  
Optimization Problem ◽  
Reference Model ◽  
Inequality Constraints ◽  
Fault Detection And Isolation ◽  
Linear Matrix ◽  
Discrete Time Systems ◽  
Persistent Disturbances ◽  
Time Systems

This paper deals with the design of a robust lter aimed for fault detection and isolation applied to discrete-time systems subject to arbitrary (not necessarily vanishing) normbounded (i.e., `1) input disturbances. The idea is to approximate the behavior from faults to residual given by a reference model despite the presence of disturbances. The lter design iscast as an optimization problem subject to linear matrix inequality constraints. A numerical example is presented to demonstrate the potential of the proposed approach.

A GEOMETRIC APPROACH TO REACHABILITY COMPUTATIONS FOR CONSTRAINED DISCRETE-TIME SYSTEMS

2002 ◽  
Vol 35 (1) ◽  
pp. 323-328 ◽  
Author(s):  
Eric C Kerrigan ◽  
John Lygeros ◽  
Jan M Maciejowski
Keyword(s):  
Discrete Time ◽  
Geometric Approach ◽  
Discrete Time Systems ◽  
Time Systems

scholarly journals Optimal Robust Fault Detection for Linear Discrete Time Systems

2008 ◽  
Vol 2008 ◽  
pp. 1-16 ◽  
Author(s):  
Nike Liu ◽  
Kemin Zhou
Keyword(s):  
Fault Detection ◽  
Discrete Time ◽  
Filter Design ◽  
Algebraic Riccati Equation ◽  
Optimization Criteria ◽  
Robust Detection ◽  
Discrete Time Systems ◽  
Robust Fault Detection ◽  
Time Systems ◽  
Detection Filter

This paper considers robust fault-detection problems for linear discrete time systems. It is shown that the optimal robust detection filters for several well-recognized robust fault-detection problems, such asℋ−/ℋ∞,ℋ2/ℋ∞, andℋ∞/ℋ∞problems, are the same and can be obtained by solving a standard algebraic Riccati equation. Optimal filters are also derived for many other optimization criteria and it is shown that some well-studied and seeming-sensible optimization criteria for fault-detection filter design could lead to (optimal) but useless fault-detection filters.

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