6. Amortization by derivative return
A frequently used auxiliary correction signal is the derivative of the output, or an approximation of it in the frequency band of the output signal. Generally speaking, this derivative feedback (or tachogenerator feedback) is used to dampen and stabilize a system. Calculations will be made here for first- and second-order processes, but the conclusions that can be drawn extend to all regular systems.
6.1 Modification of a first order by derivative feedback
For a first-order process with control u (t ) and output s (t ), the transfer function is :
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Amortization by derivative return
Correction by pole placement
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