Abstract

RIOS-BOLIVAR, Addison  and  GARCIA, Germain. Robust filters for fault detection: An LMI control settingFiltros robustos de detección de fallas: Un escenario en control LMI. Rev. Téc. Ing. Univ. Zulia [online]. 2005, vol.28, n.3, pp.189-199. ISSN 0254-0770.

Starting from the narrow relationship between robust filtering and the design of robust filters to fault detection, an approach for fault detection and diagnosis robust filter design in linear systems is presented. The method consists on transforming the problem of robust detection of faults in a problem of robust control based on Linear Matrix Inequalities (LMI). The transformation is obtained by means of the design of a dynamic system (post-filter), which is obtained through the synthesis of robust controllers based on LMI. Thus, performance index in H₂, , and multi-objective criteria (H₂/) can be obtained. This formulation allows the application of any technique of robust control based on LMI’s, and the robust fault detection and isolation is guaranteed.

Keywords : Fault detection; linear matrix inequalities (LMI) control; H₂- control; robust estimation.