Simultaneous fault detection and robust control for a dynamic observer-based switched time delay systems with car roll dynamic application

AbstractIn this study, the issue of simultaneous fault detection and control (SFDC) for a class of switched linear systems with input and state delays is being addressed. A detector/controller unit (dynamic observer/observer-based controller) is suggested for a residual generation that simultaneously takes into account the control and fault detection objectives using specific performance indices. It is assumed that the delay will fluctuate within a range with a lower bound that is not zero. Based on a Lyapunov–Krasovskii functional (LKF), and thanks to the free-weighting matrix and projection lemma, a new sufficient condition for developing a new method is put forth in terms of a set of linear matrix inequalities (LMIs). To illustrate how well the suggested results work, the proposed method is applied to a vehicle roll dynamic.KEYWORDS: Fault detection and controltime delay systemsdynamic observerlinear matrix inequalitycar roll dynamic Disclosure statementNo potential conflict of interest was reported by the author(s).Data availability statementData sharing not applicable to this article as no datasets were generated or analyzed during the current study.