Transcription of TUTORIAL 7 – STABILITY ANALYSIS
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TUTORIAL 7 – STABILITY ANALYSIS
TUTORIAL 7 STABILITY ANALYSIS . This TUTORIAL is specifically written for students studying the EC module D227 Control System Engineering but is also useful for any student studying control. On completion of this TUTORIAL , you should be able to do the following. Explain the basic definition of system instability. Explain and plot Nyquist diagrams. Explain and calculate gain and phase margins. Explain and produce Bode plots. The next TUTORIAL continues the study of STABILITY . If you are not familiar with instrumentation used in control engineering, you should complete the tutorials on Instrumentation Systems. In order to complete the theoretical part of this TUTORIAL , you must be familiar with basic mechanical and electrical science. You must also be familiar with the use of transfer functions and the Laplace Transform (see maths tutorials). 1. 1. INSTABILITY. Consider a system in which the signals are added instead of subtracted by the summer.
3 PHASE MARGIN and GAIN MARGIN 3.1 PHASE MARGIN This is the additional phase lag which is needed to bring the system to the limit of stability.
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