Steady State Error for Type Zero System Solution

STEP 0: Pre-Calculation Summary
Formula Used
Steady State Error = Coefficient Value/(1+Position of Error Constant)
ess = A/(1+Kp)
This formula uses 3 Variables
Variables Used
Steady State Error - Steady State Error means a system whose open loop transfer function has no pole at origin.
Coefficient Value - Coefficient value will be used to calculate the system errors.
Position of Error Constant - Position of Error Constant is a measure of the steady-state error of the system when the input is a unit step function.
STEP 1: Convert Input(s) to Base Unit
Coefficient Value: 2 --> No Conversion Required
Position of Error Constant: 32 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ess = A/(1+Kp) --> 2/(1+32)
Evaluating ... ...
ess = 0.0606060606060606
STEP 3: Convert Result to Output's Unit
0.0606060606060606 --> No Conversion Required
FINAL ANSWER
0.0606060606060606 0.060606 <-- Steady State Error
(Calculation completed in 00.004 seconds)

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Created by Jaffer Ahmad Khan
College Of Engineering, Pune (COEP), Pune
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Fundamental Parameters Calculators

Angle of Asymptotes
​ LaTeX ​ 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
​ LaTeX ​ Go Bandwidth Frequency = Natural Frequency of Oscillation*(sqrt(1-(2*Damping Ratio^2))+sqrt(Damping Ratio^4-(4*Damping Ratio^2)+2))
Closed Loop Negative Feedback Gain
​ LaTeX ​ Go Gain with Feedback = Open Loop Gain of an OP-AMP/(1+(Feedback Factor*Open Loop Gain of an OP-AMP))
Closed Loop Gain
​ LaTeX ​ Go Closed-Loop Gain = 1/Feedback Factor

Steady State Error Calculators

Steady State Error for Type Zero System
​ LaTeX ​ Go Steady State Error = Coefficient Value/(1+Position of Error Constant)
Steady State Error for Type 2 System
​ LaTeX ​ Go Steady State Error = Coefficient Value/Acceleration Error Constant
Steady State Error for Type 1 System
​ LaTeX ​ Go Steady State Error = Coefficient Value/Velocity Error Constant

Control System Design Calculators

Bandwidth Frequency given Damping Ratio
​ LaTeX ​ Go Bandwidth Frequency = Natural Frequency of Oscillation*(sqrt(1-(2*Damping Ratio^2))+sqrt(Damping Ratio^4-(4*Damping Ratio^2)+2))
First Peak Undershoot
​ LaTeX ​ Go Peak Undershoot = e^(-(2*Damping Ratio*pi)/(sqrt(1-Damping Ratio^2)))
First Peak Overshoot
​ LaTeX ​ Go Peak Overshoot = e^(-(pi*Damping Ratio)/(sqrt(1-Damping Ratio^2)))
Delay Time
​ LaTeX ​ Go Delay Time = (1+(0.7*Damping Ratio))/Natural Frequency of Oscillation

Steady State Error for Type Zero System Formula

​LaTeX ​Go
Steady State Error = Coefficient Value/(1+Position of Error Constant)
ess = A/(1+Kp)

What is steady state error?

Steady-state error is defined as the difference between the desired value and the actual value of a system output in the limit as time goes to infinity (i.e. when the response of the control system has reached steady-state).

How to Calculate Steady State Error for Type Zero System?

Steady State Error for Type Zero System calculator uses Steady State Error = Coefficient Value/(1+Position of Error Constant) to calculate the Steady State Error, Steady State error for Type Zero system means a System whose open loop transfer function has no pole at origin is called as Type 0 system. Steady State Error is denoted by ess symbol.

How to calculate Steady State Error for Type Zero System using this online calculator? To use this online calculator for Steady State Error for Type Zero System, enter Coefficient Value (A) & Position of Error Constant (Kp) and hit the calculate button. Here is how the Steady State Error for Type Zero System calculation can be explained with given input values -> 0.060606 = 2/(1+32).

FAQ

What is Steady State Error for Type Zero System?
Steady State error for Type Zero system means a System whose open loop transfer function has no pole at origin is called as Type 0 system and is represented as ess = A/(1+Kp) or Steady State Error = Coefficient Value/(1+Position of Error Constant). Coefficient value will be used to calculate the system errors & Position of Error Constant is a measure of the steady-state error of the system when the input is a unit step function.
How to calculate Steady State Error for Type Zero System?
Steady State error for Type Zero system means a System whose open loop transfer function has no pole at origin is called as Type 0 system is calculated using Steady State Error = Coefficient Value/(1+Position of Error Constant). To calculate Steady State Error for Type Zero System, you need Coefficient Value (A) & Position of Error Constant (Kp). With our tool, you need to enter the respective value for Coefficient Value & Position of Error Constant and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Steady State Error?
In this formula, Steady State Error uses Coefficient Value & Position of Error Constant. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Steady State Error = Coefficient Value/Velocity Error Constant
  • Steady State Error = Coefficient Value/Acceleration Error Constant
  • Steady State Error = Coefficient Value/Velocity Error Constant
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