Question

Consider the unit-step response of a unity feedback control system whose open loop transfer function is: G(s)=s(s+3)20​

Answer 1

The open loop transfer function of the unity feedback control system is given. The system is not at equilibrium and needs to shift in the negative direction to reach equilibrium.

Step-by-step explanation:

The open loop transfer function of the unity feedback control system is given as G(s) = s(s+3)20. In order to determine if the system is at equilibrium, we need to find the roots of the transfer function. Setting G(s) equal to zero:

s(s+3)20 = 0

The roots of the transfer function are s = 0 and s = -3. This means that the system is not at equilibrium. To reach equilibrium, the system will need to shift in the direction of the roots, which is in the negative direction.