Compute the steady state error for a BFS system with:





with the input defined as is the unit ramp function and u (t) is the unit step function.



What will be an ideal response?


This system is already in G-equivalent form so the error can be computed by first finding the step and ramp error coefficients and then the corresponding steady state errors.



The steady state step error coefficient is:





and the steady state step error becomes:





The steady state ramp error coefficient is:





The steady state ramp error for a unit ramp is:





However, we do not have a unit ramp. We have a ramp with slope 10 so the error is a factor of 10 times greater,

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