Non-minimum phase transfer function is defined as the transfer function
The non-minimum phase transfer function is defined as the transfer function is defined as the transfer function which has zeros (or) poles in right side of s-plane
The type and order of the system described by the open loop transfer function are respectively
There is no open loop pole at origin. Hence, type of system = 0.
Highest power of s of the characteristic equation 1+ G(s) = 0 will be 2.
Hence, order of given System = 2.
Assertion (A): If the number of zeros are less than the number of poles (i.e. Z < P), we say that there are zeros at infinity and the order of such zeros is P-Z
Reason (R): The value of the transfer function becomes zero for s tends to zero.
For Z < P,
∴ Here, number of zeros = 1 and no. of poles = 2
∴ P - Z = 1
When s →∞, transfer function becomes zero. Thus, there is one zero (P - Z = 1) at infinity. Thus, assertion is true.
Since value of transfer function becomes zero as s →∞ therefore, reason is false.
The transfer function ofthe network shown below is
Let i be the current in the given circuit.
The principle of homogeneity and superposition are applied to
Superposition theorem states that for two signals additivity and homogeneity property must be satisfied and that is applicable for the LTI systems.
The differential equation of a control system having input x(t) and output y(t) is given as
The output response of the system for unit step input is given by
Given differential equation is
The step response of a system is given by
c(t) = 1 + 0.25 e-50t - 1.25e-10t
The steady state gain of the transfer function in time constant form will be
Given, c(t) = 1 + 0.25 e-50t - 1.25e-10t
Thus,C(s)/R(s) is in time constant form having steady state gain = 1.
The poles and zeros of the transfer function for the network shown below are located at
For given network, total input impedance is
The pole-zero configuration of a transfer function is shown below:
If the value of the transfer function at s = 1 is 3.2, the gain factor K is
From given pole-zero plot, transfer function is
So, gain factor K =12
The type of a system denotes the number of
The type of a system denotes the no. of poles of origin.