Chadli, Mohammed; Akhenak, A.; Ragot, J.; Maquin, D. State and unknown input estimation for discrete time multiple model. (English) Zbl 1169.93361 J. Franklin Inst. 346, No. 6, 593-610 (2009). Summary: This paper deals with the state estimation of nonlinear discrete systems described by a multiple model with unknown inputs. The main goal concerns the simultaneous estimation of the system’s state and the unknown inputs. This goal is achieved through the design of a multiple observer based on the elimination of the unknown inputs. It is shown that the observer gains are solutions of a set of linear matrix inequalities. After that, an unknown input estimation method is proposed. An academic example and an application dealing with message decoding illustrate the effectiveness of the proposed multiple observer. Cited in 26 Documents MSC: 93C55 Discrete-time control/observation systems 93C10 Nonlinear systems in control theory 93B55 Pole and zero placement problems 15A39 Linear inequalities of matrices Keywords:discrete multiple model; unknown input observer; state estimation; Lyapunov method; secure communication; linear matrix inequalities (LMI) PDFBibTeX XMLCite \textit{M. Chadli} et al., J. Franklin Inst. 346, No. 6, 593--610 (2009; Zbl 1169.93361) Full Text: DOI References: [1] Akhenak, A.; Chadli, M.; Ragot, J.; Maquin, D., State estimation of uncertain multiple model with unknown inputs, (43rd IEEE Conference on Decision and Control, Atlantic, Paradise Island, Bahamas, vol. 4 (2004)), 3563-3568 [2] Alvares, G.; Montoya, F.; Romera, M.; Pastor, G., Breaking parameter modulated chaotic secure communication system, Chaos, Solitons and Fractals, 21, 4, 783-787 (2004) · Zbl 1049.94501 [3] A. Amato, M. 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