Steady State Error for Type 1 System Solution

STEP 0: Pre-Calculation Summary
Formula Used
Steady State Error = Coefficient Value/Velocity Error Constant
ess = A/Kv
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.
Velocity Error Constant - Velocity Error Constant:- A control system has steady state error constants for changes in position, velocity, and acceleration, these constants are called as static error constants.
STEP 1: Convert Input(s) to Base Unit
Coefficient Value: 2 --> No Conversion Required
Velocity Error Constant: 31 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ess = A/Kv --> 2/31
Evaluating ... ...
ess = 0.0645161290322581
STEP 3: Convert Result to Output's Unit
0.0645161290322581 --> No Conversion Required
FINAL ANSWER
0.0645161290322581 0.064516 <-- 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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Chandigarh University (CU), Punjab
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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 1 System Formula

​LaTeX ​Go
Steady State Error = Coefficient Value/Velocity Error Constant
ess = A/Kv

What are the basic concepts of Routh Hurwitz criteria?

1. The Routh criteria do not provide the exact locations of the roots of the characteristic equation that lie on the right-half of the s-plane. It is because the system becomes unstable if any one of the root approaches towards the right-half of the s-plane.

2. It does not tell whether the roots are real or complex. The real roots are in the form of real numbers. The complex roots are represented with iota and includes the imaginary part.

3. It works for only a linear system.

4. It is valid if the characteristic equation is algebraic. It means that the criteria are not valid if any of the coefficients of the characteristic equation is exponential or complex.

How to Calculate Steady State Error for Type 1 System?

Steady State Error for Type 1 System calculator uses Steady State Error = Coefficient Value/Velocity Error Constant to calculate the Steady State Error, Steady State Error for Type 1 system means a System whose open loop transfer function has one pole at origin is called a Type 1 system. Steady State Error is denoted by ess symbol.

How to calculate Steady State Error for Type 1 System using this online calculator? To use this online calculator for Steady State Error for Type 1 System, enter Coefficient Value (A) & Velocity Error Constant (Kv) and hit the calculate button. Here is how the Steady State Error for Type 1 System calculation can be explained with given input values -> 0.064516 = 2/31.

FAQ

What is Steady State Error for Type 1 System?
Steady State Error for Type 1 system means a System whose open loop transfer function has one pole at origin is called a Type 1 system and is represented as ess = A/Kv or Steady State Error = Coefficient Value/Velocity Error Constant. Coefficient value will be used to calculate the system errors & Velocity Error Constant:- A control system has steady state error constants for changes in position, velocity, and acceleration, these constants are called as static error constants.
How to calculate Steady State Error for Type 1 System?
Steady State Error for Type 1 system means a System whose open loop transfer function has one pole at origin is called a Type 1 system is calculated using Steady State Error = Coefficient Value/Velocity Error Constant. To calculate Steady State Error for Type 1 System, you need Coefficient Value (A) & Velocity Error Constant (Kv). With our tool, you need to enter the respective value for Coefficient Value & Velocity 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 & Velocity Error Constant. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Steady State Error = Coefficient Value/Acceleration Error Constant
  • Steady State Error = Coefficient Value/(1+Position of Error Constant)
  • Steady State Error = Coefficient Value/Acceleration Error Constant
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