Abstract

In this paper, we outline the extension of the MOESP (standing for Multivariable Output Error State sPace model identification and introduced in [1].) family of subspace model identification schemes to Hammerstein type of non-linear systems. One type of identification problem is considered. This type addresses the identification of both the linear dynamic part and the static nonlinearity, where only limited a priori information regarding the structure of the nonlinearity is available. Another (c) type of Hammerstein identification problem, considered in [2], assumes the (polynomial) structure of the static non-linearity to be given and the task here is to identify similarly the linear system dynamics and the unknown proportional constants in the parametrization of the static non-linearity. The improved robustness properties of the algorithms developed in this paper over existing correlation based schemes is illustrated in [2].

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