Torque equation to control strategy

[matkay]

Dear all,

I have a torque equation in polynomial form, that consists of RPM, LOAD and AFR from experiment data. I neeed to design a control strategy for my torque management control scheme. The example equation is as follows; torque = Load^3+ RPM^3+ AFR^3+ A*RPM*LOAD*AFR+ B*RPM*AFR + C*RPM*LOAD.

My question is:
How can i convert my polynomial form into "transfer function " which can be very useful to apply any controller technique. I know how to conver the poly form to matric form but I don't know how to convert to Transfer function,,or any control form..

Thank you

 

[Navin A S]

in advance The simplest way to convert your polynomial equation to a transfer function is to use the Laplace transform. The Laplace transform converts the polynomial equation from the time domain to the frequency domain. This allows for the analysis of the system in terms of its frequency response. The resulting transfer function can then be used to design a control strategy.