CONTROL SYSTEMS ENGINEERING
7th Edition
ISBN: 9781119185666
Author: NISE
Publisher: WILEY
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Chapter 10, Problem 1RQ
To determine
The advantages of Frequency response techniques over Root Locus technique.
Expert Solution & Answer
Explanation of Solution
Root locus represents the path of closed loop poles of given transfer function in s-plane as the system parameter changes whereas, frequency response represents the steady state response of given system for a sinusoidal input function.
The advantages of the Frequency response techniques compared to Root Locus technique are:
- Sinusoidal test signal for various ranges of frequencies and amplitude are easily available, thus the experimental determination of frequency response is easily accomplished and most reliable but in case of in Root Locus it is hard to extract sinusoidal inputs.
- In Root Locus, if the characteristic equation is complex or contain power of “e” cannot be evaluated but in Frequency Response technique such type of transfer function can be exactly applied and evaluated.
- The design and parameter adjustment of open loop transfer function of a system for a specified closed loop performance can be carried out easily in Frequency domain as compared to Time domain.
- The Root Locus technique is its inability to deal with the difficulty in dealing with time deal whereas Frequency Response handles correctly the time delays.
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Chapter 10 Solutions
CONTROL SYSTEMS ENGINEERING
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