The proposed filter offers the 2nd order functions (HP, BS, AP) and it also offers HP transfer function
of the 1st order and direct transfer between the input and output of the filter.
Here, [X.sub.pn] is the ANN input, [W.sub.kn] the weight, [b.sub.k] the bias, and [f.sub.K] the transfer function
for the hidden layer.
We assume that the transfer function
of the regulator (3) retains its form for random variations of the parameters k, [a.sub.1], [a.sub.2], [a.sub.3], [b.sub.1], [b.sub.2].
System identification with a transfer function
involves determining the transfer function
between the input and output as well the noise.
 studied the accuracy of volume rendering for arterial stenosis measurement and the results suggested that the choice of transfer function
parameters greatly affects the accuracy of volume rendering, while accurate transfer function
parameters selection is still a challenge due to the lack of meaningful guidance information and intuitive user interface.
where: x(s) - n is vector of variable systems represented according to Laplace; A(s) - nxn uninterrupted transfer function
matrix; [x.sup.Ti] (s)--discrete transformation in times [T.sub.i], i = 1, ..., N vector x(s); R - n - standardized input vector which, according to system linearity, can be considered as vector R' = [1 0 0 ...
From the average transfer function
, the model parameters are obtained and the controller parameters are obtained based on Zeigler-Nichols tuning method as given in the equations 4,5and 6.The control parameters are tabulated (Table 3).
In Table 2 the transfer function
coefficients identified for each pilot/test examined are presented (pseudointegrator poles, [p.sub.1] and [p.sub.2], are set equal to 1 Hz).
Furthermore, the nonlinear transfer function
does not obey the rule of superposition.
The transfer function
of the converter block is therefore given by the following equation :
By applying the transfer function
, the value of the outputs would be determined.
The problem statement and solution rely on the concept of generalized transfer function
for nonlinear systems [8,26].