Transfer Function Of First Order System. The inverse system is obtained by reversing the roles of input and output. The type of system having 1 as the maximum power of s in the denominator of the transfer function of the control system is known as the first order system.
Hence the above transfer function is of the first order and the system is said to be the first order system. Obtain the time domain response of the system due to a unit step input using inverse laplace transform. Rearrange to a convenient form.
Thus for the first order.
To find the unit step response we multiply hs by 1s. We can re write the above equation as csleft frac1st1 right rs where cs. Gs 3 s 2 15 05s 1 a 0 2. Basically the order of the system shows information regarding the closed loop poles of the system.