Khan, Awais; Xie, Wei; Zhang, Langwen; Ihsanullah Interval state estimation for linear time-varying (LTV) discrete-time systems subject to component faults and uncertainties. (English) Zbl 1440.93246 Arch. Control Sci. 29, No. 2, 289-305 (2019). Summary: This paper deals with the design of an interval state estimator for linear time-varying (LTV) discrete-time systems subject to component faults and uncertainties. These component faults and uncertainties are assumed to be unknown but bounded without giving any other information, whose effect can be approximated using these bounds. In the first part of this work, an interval state estimator for such systems is designed to deal with these component faults and uncertainties. The result is then extended to find an interval state estimator for a non-cooperative LTV discrete-time system subject to component faults and uncertainties by similarity transformation of coordinates. The proposed interval state estimator guaranteed bounds on the observed states that are consistent with the system states. The observer convergence is also ensured. The designed method is simple and easy to be implemented. Two numerical examples are given to show the effectiveness of the proposed method. Cited in 3 Documents MSC: 93E10 Estimation and detection in stochastic control theory 93C55 Discrete-time control/observation systems 93C05 Linear systems in control theory Keywords:component faults; interval state estimator; linear time-varying systems; non-cooperative systems PDFBibTeX XMLCite \textit{A. Khan} et al., Arch. Control Sci. 29, No. 2, 289--305 (2019; Zbl 1440.93246) Full Text: Link