What is Steady State Error?

Encyclopedia
08/02/2024


What is Steady State Error?


Steady State Error Defined


Steady state error is the discrepancy between a control system’s desired and actual output values once the output has stabilized.



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Influence of Input Types


The size of the steady state error varies with different types of inputs—zero for step inputs, a constant for ramp inputs, and infinite for parabolic inputs.


 

System Stability


Unlike steady state error, the stability of a control system does not depend on the type of input but on the system’s transfer function parameters.


 

Role of PI Controllers


PI controllers help reduce steady state error but can compromise the stability of the system, demonstrating a critical balance in control system design.


 

 

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Computational Formulas


Steady state error calculations involve using specific coefficients like Positional error coefficient (Kp), Velocity error coefficient (Kv), and Acceleration error coefficient (Ka) to determine error based on system response to different inputs.


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