Design of robust fault detection filter using algorithm for a class of LTI systems

Abstract

This paper presents designing of fault detection filter (FDF) relying on the theory of robust H ∞ control technique. The FDF is investigated specifically referring to linear time-invariant (LTI) systems, completely isolated from unknown inputs. The main idea constitutes of designing and exploiting the properties of H ∞ based FDF for enhancing the sensitivity towards faults. The robust Η ∞ optimization control technique is formulated using the concept of linear matrix inequality (LMI) approach. The robust FDF design is then formulated based on satisfying necessary condition for the existence of FDF, whose construction rely on LMI solution parameters. A design example corresponding to LTI system is presented to prove the significance of the proposed solution. A comparison with simple FDF design approach is also provided in results.