On the observer problem for discrete-time control systems
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This work 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 observability property" is proven, with which a state observer can be generated as the series connection of two observers. The analysis and the results are developed in normed linear spaces, to cover both finite-dimensional and infinite-dimensional systems. 2005 IEEE.
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Proceedings of the 44th IEEE Conference on Decision and Control