Unknown input observer based on LMI for robust generation residuals

Authors

SOUAD TAHRAOUI
ABDELMADJID MEGHABBAR
DJAMILA BOUBEKEUR

Abstract

In this paper, a method of generating robust residuals of a linear system, subject to unknown inputs, is proposed. The impact of disturbances and uncertainty may create difficulties at the decision stage of diagnosis (false alarm); this has resulted in the use of a robust observer for the unknown inputs to ensure the robustness of the system based on the unknown input observer with an optimal decoupling approach, which has a sensitivity that is minimal to unknown inputs and maximal to faults. A generation of robust residuals is then transformed into a problem of robustness/sensitivity constraints (H$_{\infty }$, H and then solved via a linear matrix inequality formulation by the solver CVX. An application for the method performance is also given.

DOI

10.3906/elk-1406-1

Keywords

Unknown input observer, residual generation, robustness, linear matrix inequality formulation

First Page

95

Last Page

107

Recommended Citation

TAHRAOUI, SOUAD; MEGHABBAR, ABDELMADJID; and BOUBEKEUR, DJAMILA (2017) "Unknown input observer based on LMI for robust generation residuals," Turkish Journal of Electrical Engineering and Computer Sciences: Vol. 25: No. 1, Article 8. https://doi.org/10.3906/elk-1406-1
Available at: https://journals.tubitak.gov.tr/elektrik/vol25/iss1/8