Transfer Function In Control System. Procedure for determining the transfer function of a control system are as follows. There are several techniques methods for transfer function discretization the most common being.
Forward euler difference discretization. Hence transfer function gsxsfs which is defined as the ratio of the excitation variable to the response variable in s domain for a lti system with all initial conditions set equal to zero. Now we take laplace transform of the system equations assuming initial conditions as zero.
G is the open loop gain which is function of frequency.
Forward euler difference discretization. A simple control system consists of a potentiometer with a transfer function of 002vmm in series with an amplifier with a gain of 12 in series with a vi converter with a transfer function i 05v where v is in volts and i in ma. The roots of as are called poles of the system. Transfer functions transfer function representations.