Unknown Input Fault Detection and Isolation Observer Design for Neutral Systems

Abstract

This paper deals with actuator fault diagnosis of neutral delayed systems with multiple time delays using an unknown input observer. The main purpose is to design an observer that guarantees the asymptotic stability of the estimate error dynamics and the actuator fault detection. The existence conditions for such an observer are established. The main problem studied in this paper aims at designing observer-based fault detection and isolation. The designed observer enhances the robust diagnosis performance, including rapidity and accuracy, and generates residuals that enjoy perfect decoupling properties among faults. Based on Lyapunov stability theory, the design of the observer is formulated in terms of linear matrix inequalities, and the diagnosis scheme is based on a bank of unknown input observers for residual generation that guarantees fault detection and isolation in the presence of external disturbances. A numerical example is presented to illustrate the efficiency of the proposed approach.Key Words: Neutral system with multiple delays, unknown input observer, fault detection and isolation (FDI), linear matrix inequality (LMI).

Design of sliding-mode observer for a class of uncertain neutral stochastic systems

“…Different from previous designs of the observer, see Elhsoumi et al (2016); Kao et al (2014; Li et al (2016Li et al ( , 2009 (2015); Zhang et al (2016) for details, it is worth noting that the control input and/or its compensator are both required to involve into their observer design, however, only an observer gain L is to be determined here. Thus, this simplified the procedure of the state observer design, which is the first advantage of this paper.…”

“…Thus, a great amount of studies have been devoted to the systems from a practical point of view, for instance, stability analysis (Karimi, 2011;Sakthivel, Mathiyalagan, & Anthoni, 2012) and control designs, which include H ∞ filtering (Shen, Xu, Zhou, & Lu, 2011), guaranteed cost control (Parlakc, 2010), observer design (Elhsoumi, Ali, Bel, Harabi, & Abdelkrim, 2016), etc. In fact, for the more general case where the control matrix B is perturbed by some factors, i.e., B (x, χ, t), where χ is an uncertain parameter vector (Hung, Gao, & Hung, 1993), the following uncertain neutral system is taken as example:…”

A comparative study of energetic model-based fault detection using HBG and COG formalisms

“…Indeed, the mathematical description has no relationship with the physical structure of the system and is usually considered like a black box without any interest to the energetic aspect of the state variables. Furthermore, it is difficult to deal with the enormous amount of equations describing the dynamic behaviors of different phenomena occurring in complex systems . One way to avoid these potential difficulties is to involve the energy‐based graphical approaches.…”

“…Furthermore, it is difficult to deal with the enormous amount of equations describing the dynamic behaviors of different phenomena occurring in complex systems. 6 One way to avoid these potential difficulties is to involve the energy-based graphical approaches.…”

Sliding Mode Observer Design for a Parabolic PDE in the Presence of Unknown Inputs

“…Errors between the state of the lattice system (8) with k 1 = 1, k 2 = −0.5 and k 3 = −0.5 and observer(11) at the points of discretisation in the absence of an unknown input. [Color figure can be viewed at wileyonlinelibrary.com]…”