Chapter twenty-one

Frequency response

Objectives

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

  • Explain the meaning of the frequency-response function.
  • Analyse the frequency response of systems subject to sinusoidal inputs.
  • Plot and interpret Bode plots.
  • Use Bode plots for system identification.
  • Explain the term bandwidth.
  • Explain how the gain margin and phase margin can be used to indicate the stability of a system.

21.1 Sinusoidal input

In the previous two chapters, the response of systems to step, impulse and ramp inputs has been considered. This chapter extends this to when there is a sinusoidal input. While for many control systems a sinusoidal input might not be encountered normally, it ...

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