Chapter twenty

System transfer functions

Objectives

The objectives of this chapter are that, after studying it, the reader should be able to:

  • Define the transfer function and determine it from differential equations for first- and second-order systems.
  • Determine the transfer functions for systems with feedback loops.
  • Determine, using Laplace transforms, the responses of first- and second-order systems to simple inputs.
  • Determine the effect of pole location on the responses of systems.

20.1 The transfer function

For an amplifier system it is customary to talk of the gain of the amplifier. This states how much bigger the output signal will be when compared with the input signal. It enables the output to be determined for specific inputs. ...

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