Davidson-cole transfer function in path tracking design

A new approach to path tracking using fractional differentiation is proposed with its application by simulation on a DC motor. A methodology for synthesizing a prefilter is defined using an I/O Davidson-Cole transfer function whose main property is having no overshoot on the plant output, whatever the values of its constitutive parameters. This permits synthesis from only two parameters. The optimum settling time of the I/O transfer function is obtained. The maximum value of the control signal is taken into account through a frequential constraint. The prefilter can be implemented in the same way as a classical digital filter.