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On the Observer Problem for Discrete-Time Control Systems

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2 Author(s)
Karafyllis, I. ; Dept. of Enviromental Eng., Tech. Univ. Crete, Chania ; Kravaris, C.

This paper studies the construction of observers for nonlinear time-varying discrete-time systems in a general context, where a certain function of the states must be estimated. Appropriate notions of robust complete observability are proposed, under which a constructive proof of existence of an observer is developed. Moreover, a "transitive observer property" is proven, according to which a state observer can be generated as the series connection of two observers. The analysis and the results are developed in general normed linear spaces, to cover both finite-dimensional and infinite-dimensional systems

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Automatic Control, IEEE Transactions on  (Volume:52 ,  Issue: 1 )