Residual generation and fault detection for discrete-time systems using an l∞ technique

Abstract

The paper presents a new design for a robust output observer and demonstrates that it can be used to detect sensor faults in uncertain systems with output disturbances. The time-domain design uses an I, technique to minimize a norm of the estimation error. The estimation error forms a residual signal that is the basis for fault detection, fault isolation and disturbance rejection. The minimum detectable fault and the maximum non-detectable fault are introduced to quantify the sensitivity of the detection scheme at a given alarm threshold. These quantities are obtained as solutions to non-convex optimization problems.

A unified approach to the optimization of fault detection systems

“…The question is: which one is the best or which one should be used in which practical situation? Optimization: In order to solve the above-mentioned problems a number of approaches via di!erent mathematical and control engineering tools have been developed, for instance, the frequency domain approach [11,13,14], the H -optimization technique [10, 11, 16}18], the optimization technique [15,19], mention only some of them.…”

Model-based fault diagnosis in technical processes

“…In company with the development of robust control theory, approaches using new design tools like -synthesis (Sadrnia et al, 1997), the linear matrix interface (LMI) technique (Hou and and mixed norms (Khargonekar and Ting, 1993;Faitakis and Kantor, 1996) have received much attention.…”

Empfindlichkeitsanalyse und Optimierung der beobachtergestützten Fehlerdiagnosesysteme

“…Unter der Voraussetzung, daß im fehlerfreien Fall die Auswertungsfunktion ihren Schwellwert nicht überschreitet, was keinen Fehlalarm gewährleistet, gilt die nachstehende Gleichung für die Berechnung des Schwellwertes J SC f¡: [4], [5] optimale Lösungen für Auswertungsfunktionen im Zeitbereich gefunden.…”