Identification of Approximative Nonlinear State-Space Models by Subspace Methods

16th IFAC World Congress, 2005
Author(s):Schrempf A., Verdult V.
A subspace identification algorithm for state-affine state-space systems which allows to approximate nonlinear systems arbitrarily well is derived. The proposed algorithm depends on an approximation step where a detailed approximation error analysis is provided. A special case is presented in which this approximation error vanishes. To tackle higher-order systems and ill-posed problems a regularized kernel method is proposed. The algorithm is evaluated by a simulation study.
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