Encyclopedia of Systems and Control

Living Edition
| Editors: John Baillieul, Tariq Samad

Frequency-Response and Frequency-Domain Models

Living reference work entry
DOI: https://doi.org/10.1007/978-1-4471-5102-9_236-1


A major advantage of using frequency response is the ease with which experimental information can be used for design purposes. Raw measurements of the output amplitude and phase of a plant undergoing a sinusoidal input excitation are sufficient to design a suitable feedback control. No intermediate processing of the data (such as finding poles and zeros or determining system matrices) is required to arrive at the system model. The wide availability of computers has rendered this advantage less important now than it was years ago; however, for relatively simple systems, frequency response is often still the most cost-effective design method. The method is most effective for systems that are stable in open-loop. Yet another advantage is that it is the easiest method to use for designing dynamic compensation as seen in the next section.


Frequency response Magnitude Phase Bode plot Stability Bandwidth Resonant peak Phase margin (PM) Gain margin (GM) 
This is a preview of subscription content, log in to check access.


  1. Franklin GF, Powell JD, Emami-Naeini A (2015) Feedback control of dynamic systems, 7th edn. Pearson Education, Upper Saddle River, NJ, BostonGoogle Scholar
  2. Franklin GF, Powell JD, Emami-Naeini A (2010) Feedback control of dynamic systems, 6th edn. Pearson Education, Upper Saddle RiverGoogle Scholar

Copyright information

© Springer-Verlag London 2014

Authors and Affiliations

  1. 1.Stanford UniversityStanfordUSA