System identification: theory for the user
System identification: theory for the user
The complex structured singular value
Automatica (Journal of IFAC) - Special issue on robust control
Nonlinear black-box modeling in system identification: a unified overview
Automatica (Journal of IFAC) - Special issue on trends in system identification
Input design for structured nonlinear system identification
Automatica (Journal of IFAC)
A blind approach to the Hammerstein-Wiener model identification
Automatica (Journal of IFAC)
Decoupling the linear and nonlinear parts in Hammerstein model identification
Automatica (Journal of IFAC)
Universal approximation bounds for superpositions of a sigmoidal function
IEEE Transactions on Information Theory
Identification of systems with localised nonlinearity: From state-space to block-structured models
Automatica (Journal of IFAC)
Mixed parametric/non-parametric identification of systems with discontinuous nonlinearities
Automatica (Journal of IFAC)
| Hi-index | 22.15 |
In this paper, identification of structured nonlinear systems is considered. Using linear fractional transformations (LFT), the a priori information regarding the structural interconnection is systematically exploited. A parametric approach to the identification problem is investigated, where it is assumed that the linear part of the interconnection is given and the input to the nonlinear part is measurable. An algorithm for the identification of the nonlinear part is proposed. The uniqueness properties of the estimate provided by the algorithm are examined. It is shown that the estimate converges asymptotically to its true value under a certain persistence of excitation condition. Two simulated examples and a real-data example are presented to show the effectiveness of the proposed algorithm.