H-infinity estimation, some old and new results

Prof. Uri Shaked (Tel Aviv and CUED)

H-infinity optimal estimation has been developed during the last decade. Its advantages stem from its low sensitivity to the exact knowledge of the system model and the statistics of the exogenous signals. It has soon been noticed that this type of estimation can readily cope with a significant uncertainty in the parameters of the process to be estimated, and optimal design techniques have been suggested that guarantee a required estimation level in spite of a polytopic type uncertainty in the linear case or norm bounded uncertainties in the linear and the nonlinear cases.

A short survey of H-infinity estimation will be given with a special emphasis on the latest results on robust H-infinity filtering.

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