By Alex Abramovici Ph.D., Jake Chapsky P.E. (auth.)
Feedback keep watch over structures: a quick tune advisor for Scientists andEngineers is a vital reference device for:
Key gains ofFeedback regulate Systems:
- The contents and the structure of the booklet are dependent to make sure passable skillability for the beginner dressmaker.
- The authors give you the reader with an easy but robust technique for designing keep an eye on platforms utilizing a number of sensors or actuators.
- It bargains a complete regulate procedure troubleshooting and function checking out advisor.
From the reviewers:
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Additional info for Feedback Control Systems: A Fast-Track Guide for Scientists and Engineers
We conclude this Section by introducing the asymptotic Bode diagrams illustrated in Fig. 5. Asymptotic Bode diagrams are obtained as follows: 25 Stability Slope = 0 dB/decade _ / -5 - . , 3dB .. , .. l Phase = - 45° -10 CD *. . ~........... 5. Example of asymptotic Bode diagram. The frequencies where two straight lines meet, 100 Hz and 10 kHz in this example, are called corner frequencies. • Identify frequency spans where IL(jw)1 has constant slope. For the common case of rational transfer functions, the constant slope sections correspond to multiples of ±20 dB/decade (the same as ±6 dB / octave).
It can be seen from the plots that the temperature control actuator has a substantially higher gain than the PZT. 1 Hz. PZT-induced frequency changes do not show significant phase shifts up to a few hundred kilohertz. Therefore, the temperature control can be used to effect slow, but large frequency corrections, while the PZT is appropriate for small amplitude, fast frequency corrections. PZT ~ ; 20j _________ Cl 100 ! ~ 1k 10 k 100k 1M Frequency (Hz) ~ oj 0.. ----""""T""",- - , - ,--"""T'- ·iii 10 k 100k Cl !
A phase margin of 90° (not shown) corresponds to critically damped behavior. Thus, the higher the phase margin, the more resistant to oscillation the system is, as stated earlier on p. 19. The above example shows that while 10° is not an adequate phase margin for a system tracking a command signal, 45°-60° is sufficient. In practice one finds that, for disturbance suppression applications, a lower phase margin ¢m = 30° is adequate. Given the conflict between the requirements for high open-loop gain on one side and high phase margin on the other side, the question arises of how to find the lowest phase margin which still ensures that ringing does not exceed a reasonable level.