Control Systems – Lecture 9 – Accuracy of Systems: Steady-State Error

Lecture 9 – Accuracy of Systems: Steady-State Error

Kontrol Sistemleri – Accuracy of Systems: Steady-State Error (Ders 9)

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Accuracy of Systems

The ability of the system follow the given instruction can be used as a measure of classification.

Common input: step, ramp, parabolic

Comparison of accuracy is possible by using the steady-state error magnitude!!

Validity of final value theorem

If the poles are in zone 1 so it can't have final value

Only works with Zone III and zone IV

G(s) : open loop TF for unity feedback

In most cases the most integrator is 3

Accuracy of systems

case 2) input is ramp

But we have to check stability

k=6 is the max possible k here !!!

so max e_ss=0,33 because the system have to be stable because final value theorem is not working with unstable systems.

Steady state error for disturbance

because it is negative we can decrease error with it

Design k_1 and k_2 so that

this system order is 3 by finding characteristic equation.

The degree to which changes in the system parameters affect system T.F. and hence performance (error, stability, …) of the system

This means it's low sensitive to a

Average sensitivity : 65%200%<1 (Reduced sensitivity)

Check the sensitivity of ss. error w.r.t. parameter 'k'

for delta also

Lecture 9 – Accuracy of Systems: Steady-State Error

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