Test Signal Amplitude Optimization for Identification of the Volterra Kernels

Application of a Volterra quadratic polynomial to modeling elements of heat engineering devices

“…In (6) To improve the accuracy of the models, the amplitudes of the input perturbations were optimized at the identification stage, for the case when the water flow is fed to the input. Similarly to [17], for input signals of the form…”

“…is the error between the reference and integral models for the perturbation (8). Our error calculation is totally different to that presented in [17], where the error is considered at the end of the modeling segment. In our case, it is necessary to calculate the maximum of the error on the entire segment of simulation and the maximum is not necessarily located at the end of the segment.…”

Modeling of Nonlinear Dynamic Systems with Volterra Polynomials

“…results, as is shown in (Apartsyn & Solodusha, 2004), in the following expression for Proceeding to the case of cubic models, assume in (17) = 4 and consider the problem of search for a pair, subject to (22),…”

“…where, as is established in (Apartsyn & Solodusha, 2004), a residual between 4, ( ) and response (20) 1 , 2 , ( ) to signal = ( ) has the form 4, 1 , 2 , = 4 + 1 2 − 1 2 + 1 2 + 2 2 2 + 1 2 1 + 2 4 24 .…”

“…The numerical solution to (30), (31), which was obtained with the MAPLE system is: Finally, to sum up this section note that although the problem of optimizing the amplitudes of test signals of type (7) was considered above as applied to the reference model (17), the obtained recommendations are of a more universal character than it is shown in (Apartsyn & Solodusha, 2004) on the example of the applied problem of modeling the nonlinear dynamic processes of heat exchange.…”