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Zbl 1169.93361
Chadli, M.; Akhenak, A.; Ragot, J.; Maquin, D.
State and unknown input estimation for discrete time multiple model. (English)
[J] J. Franklin Inst. 346, No. 6, 593-610 (2009). ISSN 0016-0032; ISSN 1879-2693/e

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.

MSC 2000:: *93C55 Discrete-time control systems
93C10 Nonlinear control systems
93B55 Pole and zero placement problems
15A39 Linear inequalities

Keywords: discrete multiple model; unknown input observer; state estimation; Lyapunov method; secure communication; linear matrix inequalities (LMI)

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Zentralblatt MATH Berlin [Germany]