Finite frequency observer design for T-S fuzzy systems with unknown inputs: an LMI approach

2018 ◽  
Vol 29 (2) ◽  
pp. 109 ◽  
Author(s):  
Ali Chibani ◽  
Mohammed Chadli ◽  
Naceur Benhadj Braiek
Keyword(s):  
Fuzzy Systems ◽  
Observer Design ◽  
Finite Frequency ◽  
Lmi Approach ◽  
Unknown Inputs

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.

A Finite Frequency Approach toH∞Filtering for T-S Fuzzy Systems with Unknown Inputs

2016 ◽  
Vol 18 (5) ◽  
pp. 1608-1618 ◽  
Author(s):  
Ali Chibani ◽  
Mohammed Chadli ◽  
Naceur Benhadj Braiek
Keyword(s):  
Fuzzy Systems ◽  
Finite Frequency ◽  
Unknown Inputs
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