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Bounded error identification of systems with time-varying parameters

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3 Author(s)
Bravo, J.M. ; Dept. de Ingenieria de Sistemas y Automatica, Univ. de Huelva, Spain ; Alamo, T. ; Camacho, E.F.

This note presents a new approach to guaranteed system identification for time-varying parameterized discrete-time systems. A bounded description of noise in the measurement is considered. The main result is an algorithm to compute a set that contains the parameters consistent with the measured output and the given bound of the noise. This set is represented by a zonotope, that is, an affine map of a unitary hypercube. A recursive procedure minimizes the size of the zonotope with each noise corrupted measurement. The zonotopes take into account the time-varying nature of the parameters in a nonconservative way. An example has been provided to clarify the algorithm.

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Automatic Control, IEEE Transactions on  (Volume:51 ,  Issue: 7 )