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In general, the transfer function of closed loop system is
(Y/X)=G*K/(1+G*K*H) ----- negative feedback
(Y/X)=G*K/(1-G*K*H) ----- positive feedback
where
G- transfer function of the plant 0r system
K - controller
H - feedback transfer function
Y-output in laplace domain
X-reference in laplace domain so the transfer function of the closed loop system with unity feedback is
so H=1(unity)
(Y/X)=G*K/(1+G*K) ------- negative feedback
(Y/X)=G*K/(1-G*K) ------- positive feedback
if u couldn't understand notify me... i will improve it
Wiki User
∙ 11y ago
The formulas of a unity-feedback loop are:
- Closed-loop transfer function: This is the ratio of the output of the system to its input in the closed-loop configuration. It is calculated by dividing the open-loop transfer function by (1 + open-loop transfer function).
- Closed-loop gain: This is the gain of the system in the closed-loop configuration and represents the amplification of the input signal in the system. It is calculated by multiplying the open-loop gain by (1 + open-loop gain).
- Closed-loop bandwidth: This is the frequency range over which the system can effectively respond to input signals in the closed-loop configuration. It is usually determined by the pole locations in the system's transfer function.
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