Set-theoretic estimation

This chapter is mainly devoted to evidencing difficulties of the set-theoretic approach in dealing with output feedback problems. Therefore the chapter (apparently the shortest of the book) will be essentially conceptual rather than technical. We will be interested in set-theoretic state estimation, and we will not consider, if not in passing, the problem of set-theoretic system identification. Given an uncertain system with output measurements, a set-theoretic estimator provides a set which includes at each time all the state vectors which are compatible with available measurements and given disturbance specification.

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