## Transfer Function for Closed and Open Loop System Solution

STEP 0: Pre-Calculation Summary
Formula Used
Transfer Function = Output of System/Input of System
Gs = Cs/Rs
This formula uses 3 Variables
Variables Used
Transfer Function - Transfer function of an electronic or control system component is a mathematical function which theoretically models the device's output for each possible input.
Output of System - Output of system is the information produced by a system from a specific input.
Input of System - Input of system is something we put or input into a system to achieve an output.
STEP 1: Convert Input(s) to Base Unit
Output of System: 22 --> No Conversion Required
Input of System: 48 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Gs = Cs/Rs --> 22/48
Evaluating ... ...
Gs = 0.458333333333333
STEP 3: Convert Result to Output's Unit
0.458333333333333 --> No Conversion Required
0.458333333333333 <-- Transfer Function
(Calculation completed in 00.000 seconds)
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## < 19 Fundamental Formulas Calculators

Bandwidth Frequency given Damping Ratio
Bandwidth Frequency = Frequency*(sqrt(1-(2*(Damping Ratio^2)))+sqrt((Damping Ratio^4)-(4*(Damping Ratio^2))+2))
Damping Ratio given Percentage Overshoot
Damping Ratio = -ln(Percentage Overshoot/100)/ sqrt((pi^2)+ln(Percentage Overshoot/100)^2)
Angle of Asymptotes
Angle of Asymptotes = (((2*Parameter for Root Locus)+1)*pi)/(Number of Poles-Number of Zeros)
Percentage Overshoot
Percentage Overshoot = 100*(e^((-Damping Ratio*pi)/(sqrt(1-(Damping Ratio^2)))))
Closed Loop Positive Feedback Gain
Closed-Loop Gain = Open Loop Gain of an OP-AMP/(1- (Feedback Factor*Open Loop Gain of an OP-AMP))
Closed Loop Negative Feedback Gain
Closed-Loop Gain = Open Loop Gain of an OP-AMP/(1+(Feedback Factor*Open Loop Gain of an OP-AMP))
Damping Ratio or Damping Factor
Damping Ratio = Damping Coefficient/(2*sqrt(Mass*Spring Constant))
Gain-Bandwidth Product
Gain-Bandwidth Product = modulus(Amplifier Gain in Mid Band)*Amplifier Bandwidth
Damped Natural Frequency
Damped Natural Frequency = Frequency*(sqrt(1-(Damping Ratio)^2))
Resonant Peak
Resonant Peak = 1/((2*Damping Ratio)*sqrt(1-(Damping Ratio)^2))
Resonant Frequency
Resonant Frequency = Frequency*sqrt(1-2*(Damping Ratio)^2)
Steady State Error for Type Zero System
Steady State Error = Coefficient Value/(1+Position Error Constant)
Steady State Error for Type 2 System
Steady State Error = Coefficient Value/Acceleration Error Constant
Steady State Error for Type 1 System
Steady State Error = Coefficient Value/Velocity Error Constant
Number of Asymptotes
Number of Asymptotes = Number of Poles-Number of Zeros
Transfer Function for Closed and Open Loop System
Transfer Function = Output of System/Input of System
Damping Ratio
Damping Ratio = Actual Damping/Critical Damping
Closed Loop Gain
Gain with Feedback = 1/Feedback Factor
Q-Factor
Q Factor = 1/(2*Damping Ratio)

## Transfer Function for Closed and Open Loop System Formula

Transfer Function = Output of System/Input of System
Gs = Cs/Rs

## What is a transfer function?

The transfer function of a control system is defined as the ratio of the Laplace transform of the output variable to Laplace transform of the input variable assuming all initial conditions to be zero. A block diagram is a visualization of the control system which uses blocks to represent the transfer function, and arrows which represent the various input and output signals.
For any control system, there exists a reference input known as excitation or cause which operates through a transfer operation (i.e. the transfer function) to produce an effect resulting in controlled output or response.

## How to Calculate Transfer Function for Closed and Open Loop System?

Transfer Function for Closed and Open Loop System calculator uses Transfer Function = Output of System/Input of System to calculate the Transfer Function, Transfer Function for Closed and Open Loop System represents the relationship between the output signal of a control system and the input signal, for all possible input values for an open loop system. Transfer Function is denoted by Gs symbol.

How to calculate Transfer Function for Closed and Open Loop System using this online calculator? To use this online calculator for Transfer Function for Closed and Open Loop System, enter Output of System (Cs) & Input of System (Rs) and hit the calculate button. Here is how the Transfer Function for Closed and Open Loop System calculation can be explained with given input values -> 0.458333 = 22/48.

### FAQ

What is Transfer Function for Closed and Open Loop System?
Transfer Function for Closed and Open Loop System represents the relationship between the output signal of a control system and the input signal, for all possible input values for an open loop system and is represented as Gs = Cs/Rs or Transfer Function = Output of System/Input of System. Output of system is the information produced by a system from a specific input & Input of system is something we put or input into a system to achieve an output.
How to calculate Transfer Function for Closed and Open Loop System?
Transfer Function for Closed and Open Loop System represents the relationship between the output signal of a control system and the input signal, for all possible input values for an open loop system is calculated using Transfer Function = Output of System/Input of System. To calculate Transfer Function for Closed and Open Loop System, you need Output of System (Cs) & Input of System (Rs). With our tool, you need to enter the respective value for Output of System & Input of System and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well. Let Others Know