Robust FDI with Mixed H2/Hinfinity Criteria for Discrete-Time Linear Systems

Authors:	Rios-Bolivar Addison, Universidad de Los Andes, Venezuela Rivas-Echeverria Francklin, Universidad de Los Andes, Venezuela Garcia Germain, LAAS-CNRS, France
Topic:	6.4 Safeprocess
Session:	Robust Fault Detection and Isolation
Keywords:	Fault Detection. Discrete-time Systems. Linear Matrix Inequalities (LMI). H2/Hinfinity Control. Robust Estimation.

Abstract

In this work, the problem of robust fault detection in uncertain linear systems of discrete time is studied. The robustness is analyzed using the characterization of two types of perturbation signals: energy signals and bounded power signals. For these two types of signals, H2/Hinfinity mixed performance approaches are used for fault detection filter design. The robust filtersynthesis is obtained generating a convex optimization problem, whose numeric solution is reached by means of linear matrix inequalities (LMI). The approach is a simple procedure for the design of robust fault detection filter.