Transfer Function for Closed and Open Loop System Calculator

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Fundamental Parameters

Second Order System

✖Output of system is the information produced by a system from a specific input.ⓘ Output of System [C_s]			+10% -10%
✖Input of system is something we put or input into a system to achieve an output.ⓘ Input of System [R_s]			+10% -10%

✖Transfer function of an electronic or control system component is a mathematical function which theoretically models the device's output for each possible input.ⓘ Transfer Function for Closed and Open Loop System [G_s]

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Formula

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Transfer Function for Closed and Open Loop System

Formula

`"G"_{"s"} = "C"_{"s"}/"R"_{"s"}`

Example

`"0.458333"="22"/"48"`

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Transfer Function for Closed and Open Loop System Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transfer Function = Output of System/Input of System
G_s = C_s/R_s
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

G_s = C_s/R_s --> 22/48

Evaluating ... ...

G_s = 0.458333333333333

STEP 3: Convert Result to Output's Unit

0.458333333333333 --> No Conversion Required

FINAL ANSWER

0.458333333333333 ≈ 0.458333 <-- Transfer Function

(Calculation completed in 00.004 seconds)

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< 19 Fundamental Parameters Calculators

Angle of Asymptotes

Go Angle of Asymptotes = ((2*(modulus(Number of Poles-Number of Zeroes)-1)+1)*pi)/(modulus(Number of Poles-Number of Zeroes))

Bandwidth Frequency given Damping Ratio

Go Bandwidth Frequency = Natural Frequency of Oscillation*(sqrt(1-(2*Damping Ratio^2))+sqrt(Damping Ratio^4-(4*Damping Ratio^2)+2))

Damping Ratio given Percentage Overshoot

Go Damping Ratio = -ln(Percentage Overshoot/100)/ sqrt(pi^2+ln(Percentage Overshoot/100)^2)

Percentage Overshoot

Go Percentage Overshoot = 100*(e^((-Damping Ratio*pi)/(sqrt(1-(Damping Ratio^2)))))

Closed Loop Positive Feedback Gain

Go Gain with Feedback = Open Loop Gain of an OP-AMP/(1- (Feedback Factor*Open Loop Gain of an OP-AMP))

Closed Loop Negative Feedback Gain

Go Gain with Feedback = Open Loop Gain of an OP-AMP/(1+(Feedback Factor*Open Loop Gain of an OP-AMP))

Damping Ratio or Damping Factor

Go Damping Ratio = Damping Coefficient/(2*sqrt(Mass*Spring Constant))

Damped Natural Frequency

Go Damped Natural Frequency = Natural Frequency of Oscillation*sqrt(1-Damping Ratio^2)

Gain-Bandwidth Product

Go Gain-Bandwidth Product = modulus(Amplifier Gain in Mid Band)*Amplifier Bandwidth

Resonant Frequency

Go Resonant Frequency = Natural Frequency of Oscillation*sqrt(1-2*Damping Ratio^2)

Resonant Peak

Go Resonant Peak = 1/(2*Damping Ratio*sqrt(1-Damping Ratio^2))

Steady State Error for Type Zero System

Go Steady State Error = Coefficient Value/(1+Position of Error Constant)

Steady State Error for Type 2 System

Go Steady State Error = Coefficient Value/Acceleration Error Constant

Steady State Error for Type 1 System

Go Steady State Error = Coefficient Value/Velocity Error Constant

Number of Asymptotes

Go Number of Asymptotes = Number of Poles-Number of Zeroes

Transfer Function for Closed and Open Loop System

Go Transfer Function = Output of System/Input of System

Damping Ratio given Critical Damping

Go Damping Ratio = Actual Damping/Critical Damping

Closed Loop Gain

Go Closed-Loop Gain = 1/Feedback Factor

Q-Factor

Go Q Factor = 1/(2*Damping Ratio)

< 4 Feedback Characteristics Calculators

Closed Loop Positive Feedback Gain

Go Gain with Feedback = Open Loop Gain of an OP-AMP/(1- (Feedback Factor*Open Loop Gain of an OP-AMP))

Closed Loop Negative Feedback Gain

Go Gain with Feedback = Open Loop Gain of an OP-AMP/(1+(Feedback Factor*Open Loop Gain of an OP-AMP))

Transfer Function for Closed and Open Loop System

Go Transfer Function = Output of System/Input of System

Closed Loop Gain

Go Closed-Loop Gain = 1/Feedback Factor

Transfer Function for Closed and Open Loop System Formula

Transfer Function = Output of System/Input of System
G_s = C_s/R_s

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 formula is defined as 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 G_s 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 (C_s) & Input of System (R_s) 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 formula is defined as 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 G_s = C_s/R_s 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 formula is defined as 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 (C_s) & Input of System (R_s). 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.

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