SummaryIn this paper, a novel identification method for nonlinear systems is proposed.This method utilizes linear interpolation models to describe the nonlinear forces of the physical models, and the unscented Kalman filter (UKF) method is adopted for the task of nonlinear identification. With the help of a linear interpolation algorithm, the proposed method requires little prior knowledge of the form of the nonlinear stiffness. Therefore, this method takes advantage of both the independence of the linear interpolation points and the inherent mathematical properties of the UKF. The UKF method is also modified to better fit the needs of parameter identification. To further emphasize parameter identification, backward integration and observations of the previous states are used. Two numerical simulations of the nonlinear elastic stiffness and Bouc-Wen hysteresis are conducted to show the flexibility and efficiency of this method. In these 2 examples, the observation signals are generated by analytic models, and the identifications are conducted with a linear interpolation model.
| INTRODUCTIONA suitable mathematical model for civil structures is very important for health monitoring and structural control. For structural health monitoring, if a simple and accurate model can be obtained based on the acquired data, then future structural behaviors can be predicted by this model, and some possible damages or failures may be avoided. [1][2][3][4] The effects of structural control depend on the structural model, even for intelligent control methods. [5][6][7][8] The more accurate a model that can be obtained, the better control effect can be realized. In a civil structural model, nonlinearity commonly exists with respect to health monitoring and structural control. Simply assuming linearity of the structure behavior will cause significant error. To describe a particular nonlinear behavior, there are usually plenty of proper mathematical models available. Examples include the polynomial model [9,10] and multilinear model [11] for elastic stiffness, BoucWen model, [12] Preisach model, [13] and Iwan model [14] for hysteretic force. Different models fit for different problems.This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.