Identification of continuous-time state-space models from non-uniform fast-sampled data

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Identification of continuous-time state-space models from non-uniform fast-sampled data

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In this study, we apply the expectation-maximisation (EM) algorithm to identify continuous-time state-space models from non-uniformly fast-sampled data. The sampling intervals are assumed to be small and uniformly bounded. The authors use a parameterisation of the sampled-data model in incremental form in order to modify the standard formulation of the EM algorithm for discrete-time models. The parameters of the incremental model converge to the parameter of the continuous-time system description as the sampling period goes to zero. The benefits of the proposed algorithm are successfully demonstrated via simulation studies.

Inspec keywords: state-space methods; expectation-maximisation algorithm; discrete time systems

Other keywords: EM algorithm; discrete time model; incremental model; nonuniform fast sampled data; expectation-maximisation algorithm; continuous-time state-space model

Subjects: Discrete control systems; Interpolation and function approximation (numerical analysis)

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