H_∞/H₋ Simultaneous fault detection and control for continuous-time linear switched delay systems under asynchronous switching

Abstract

In this paper, the problem of simultaneous fault detection and control for continuous-time switched state-delay systems under asynchronous switching is investigated. The aim is to design a detector/controller unit where the detector is an observer and the controller is an observer-based controller. Based on the average dwell time approach, a new method is proposed where both stability and fault detection are considered, simultaneously, through certain performance indexes. This problem is formulated as a mixed H∞/ H− problem and its solution leads to new sufficient conditions in the form of linear matrix inequality feasibility conditions. The effectiveness of the design technique is illustrated via an example.

Fault estimation of linear discrete time-varying systems with multiplicative noise based on finite impulse response filter

“…More recently, due to the complex/harsh work environments, model uncertainties have to be taken into account in the course of system analysis/synthesis, shifting the focuses on robust model-based fault diagnosis fields. The connotation behinds these methods relevant to robust fault diagnosis applications, is either to construct a fault indicator to generate residual that is sensitive to specific faults and robust to the uninterested informations simultaneously, or to design a fault estimator that shows fault amplitude and type appropriately under various of unexpected external inputs or mismatched terms, see, for example, Zhou et al (2018); Abbasi and Poshtan (2018); Li et al (2018a); Zhao et al (2018); Wei et al (2017); and Shokouhi-Nejad et al (2019) for some recent research efforts.…”