Robust fault detection observer design for LTI systems based on GKYP lemma

2009 ◽  
Author(s):  
Xiukun Wei ◽  
Michel Verhaegen
Keyword(s):  
Fault Detection ◽  
Observer Design ◽  
Robust Fault Detection

Robust Fault Detection Observer Design: Iterative LMI Approaches

2006 ◽  
Vol 129 (1) ◽  
pp. 77-82 ◽  
Author(s):  
H. B. Wang ◽  
J. L. Wang ◽  
J. Lam
Keyword(s):  
Fault Detection ◽  
Optimization Techniques ◽  
Observer Design ◽  
Finite Frequency ◽  
Lmi Approach ◽  
H Index ◽  
System A ◽  
Fault Sensitivity ◽  
Robust Fault Detection ◽  
Necessary And Sufficient

This paper deals with the Robust Fault Detection (RFD) problem with the aid of the H∞ norm and H− index optimization techniques and the LMI approach. First, a necessary and sufficient condition is proposed for the design of RFD observers in the nominal case. Then, the RFD problem for systems with structured uncertainties in the system matrices is considered. Approaches are proposed to design robust fault detection observers to enhance the fault detection and to attenuate the effects due to unknown inputs and uncertainties. Furthermore, the design of the threshold of fault detection is investigated. We also consider the fault sensitivity over finite frequency range in which case no constraint is required on D being of full column rank for a system (A,B,C,D). Numerical examples are employed to demonstrate the effectiveness of the proposed methods.

An LMI Approach to Mixed H_/H∞ Robust Fault Detection Observer Design

2012 ◽  
Vol 546-547 ◽  
pp. 874-879 ◽  
Author(s):  
Ying Chun Zhang ◽  
Li Na Wu ◽  
Zheng Fang Wang ◽  
Qing Xian Jia
Keyword(s):  
Fault Detection ◽  
Uncertain Systems ◽  
Optimization Problems ◽  
Observer Design ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Matrix Inequalities ◽  
Lmi Approach ◽  
Robust Fault Detection ◽  
Iterative Linear Matrix Inequality

This paper investigates the problem of the robust fault detection (RFD) observer design for linear uncertain systems with the aid of the H_ index and the H∞ norm, which are used to describe the problem of this observer design as optimization problems. Conditions for the existence of such a fault detection observer are given in terms of matrix inequalities. RFD problem with structured uncertainties in the system matrices is also considered. The solution is obtained by an iterative linear matrix inequality (ILMI) algorithm. Numerical example is employed to demonstrate the effectiveness of the proposed methods.

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