Identification of Symmetric Volterra Kernels Using Piecewise Linear Test Signals

The paper focuses on the identification of a controlled dynamic object by its integral model in the form of a Volterra polynomial with the aid of test signals with a rising edge. A piecewise linear form of the inputs is chosen following the specifics of their formation for modeling the dynamics of a horizontal axis wind turbine. A new class of two-dimensional Volterra integral equations of the first kind, which have variable limits of integration and explicit inversion formulas, is distinguished. Sufficient conditions for the existence of a solution in the class of symmetric functions are obtained.