A LMI approach for designing robust FDI filters with guaranteed fault sensitivity performance

2003 ◽  
Author(s):  
F. Castang ◽  
A. Zolghadri ◽  
D. Henry ◽  
M. Monsion
Keyword(s):  
Lmi Approach ◽  
Fault Sensitivity ◽  
Sensitivity Performance

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.

scholarly journals A New Robust Training Law for Dynamic Neural Networks with External Disturbance: An LMI Approach

2010 ◽  
Vol 2010 ◽  
pp. 1-14 ◽  
Author(s):  
Choon Ki Ahn
Keyword(s):  
Neural Networks ◽  
Linear Matrix Inequality ◽  
Exponential Stability ◽  
External Disturbance ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Input Output ◽  
Lmi Approach ◽  
Dynamic Neural Networks ◽  
Numerical Examples

A new robust training law, which is called an input/output-to-state stable training law (IOSSTL), is proposed for dynamic neural networks with external disturbance. Based on linear matrix inequality (LMI) formulation, the IOSSTL is presented to not only guarantee exponential stability but also reduce the effect of an external disturbance. It is shown that the IOSSTL can be obtained by solving the LMI, which can be easily facilitated by using some standard numerical packages. Numerical examples are presented to demonstrate the validity of the proposed IOSSTL.

Sign in / Sign up

Export Citation Format

Share Document