Unknown input observer based on LMI for robust generation residuals

Authors

SOUAD TAHRAOUI
ABDELMADJID MEGHABBAR
DJAMILA BOUBEKEUR

DOI

10.3906/elk-1406-1

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.

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