On the robust fault detection via a sliding mode disturbance observer

Abstract

International audienceThis paper deals with robust fault detection for non-linear systems. This problem is usually solved by designing an observable subsystem which is only affected by the fault and not by the control and disturbance inputs. However, such a subsystem may not exist so that the so-called fundamental problem of residual generation (FPRG) is not solvable. The aim of the present paper is to design a fault detection filter when the conditions for the existence of a solution to the non-linear FPRG are not satisfied. Our approach is made in a geometric context. Under some decoupling assumptions, the design of sliding mode observers allows us to reconstruct the disturbance inputs and then to generate an effective residual. An illustrative example is given throughout the paper

Entwurf robuster modellbasierter Fehlerisolationsfilter

“…Die Beiträge [6,214] konzentrieren sich auf die Diagnose von Sensorfehlern. Die explizite Berücksichtigung von Robustheitsaspekten erfolgt unter anderem in [72,157,213,215]. Weiterführende Ergebnisse erlauben darüber hinaus beispielsweise die Anwendung auf linear parameterveränderliche Systeme [5], Klassen nichtlinearer Systeme [37] sowie die Fehlerdiagnose in dezentralen [267] und stochastischen [82] Systemen und Erweiterungen auf fehlertolerante Regelungen [64].…”

Sampled-data sliding mode observer for robust fault reconstruction: A time-delay approach

“…There has been a great deal of interest in the application of sliding mode observers to the problem of model based fault detection and isolation [5], [12], [29]. The merit of the approach lies in the application of the so-called equivalent output injection to explicitly reconstruct fault signals.…”

A sliding mode observer for linear systems with unknown time varying delay

“…In this paper, we propose a method to solve the problem of the observation of linear systems with unknown time delays by combining some results on sliding mode observers (see, e.g., [1,8,9,12,19]) with an adequate choice of a Lyapunov-Krasovskii functional. The observer dynamical properties will also be discussed.…”