Steady State Error Formula:
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Steady State Error for Type Zero System refers to the difference between the desired output and the actual output of a control system when the system has reached a stable condition. For type zero systems, the open loop transfer function has no pole at the origin.
The calculator uses the Steady State Error formula:
Where:
Explanation: The formula calculates the steady-state error of a system when the input is a unit step function, using the position error constant and coefficient value.
Details: Calculating steady-state error is crucial for evaluating the performance and accuracy of control systems, helping engineers design systems that meet specific performance requirements.
Tips: Enter the coefficient value and position of error constant. Both values must be non-negative numbers.
Q1: What is a Type Zero System?
A: A Type Zero System is a control system whose open loop transfer function has no poles at the origin (s = 0).
Q2: What does Steady State Error indicate?
A: Steady State Error indicates how accurately a control system can track a constant reference input in the long run.
Q3: How can Steady State Error be reduced?
A: Steady State Error can be reduced by increasing the system gain or by adding an integrator to the system (changing to a higher type system).
Q4: What are typical values for Position Error Constant?
A: Position Error Constant values vary depending on the system, but higher values typically result in lower steady-state errors.
Q5: When is this calculation most useful?
A: This calculation is most useful in control system design and analysis, particularly when evaluating system performance for step inputs.