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ME5659_LecSuppl_FreqResponseVsLaplace

# ME5659_LecSuppl_FreqResponseVsLaplace - system • Phase...

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71 Comparison of Transfer Function and Frequency Response Function Transfer Function G ( s ) is a complex function with the complex variable s. Laplace Domain A function of complex variable “ s • Performance specifications: Poles and Zeros Frequency Response Function • G( j ω ) is a complex function of frequency. Frequency Domain A function of variable ω (frequency) • Performance specifications: Resonant Frequency and Bandwidth

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72 Information from Bode Plot of closed Loop system • Bandwidth Resonant frequency Damping ratio Natural frequency ( ) ( ) 2 r 1 2 2 1 0.707 1 2 ζ ω ω ζ ζ ζ ω ω = < = = n r P G M
73 Information from Bode Plot of

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Unformatted text preview: system • Phase Margin • G a i n M a r g i n • The closed loop system is stable or not 74 Information from Root Locus of Open Loop system • How many Poles does the Open Loop system have ? • How many Zeros does the Open Loop system have ? • Where is the direction of the roots of the characteristic equation, going toward RHP, or LHP ? • When the system becomes unstable ? ( what value of K makes the system unstable) 75 Information from Nyquist of Open Loop system • Does it encircle the point (-1,0) • what is the direction of the contour ( CW, CCW)...
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ME5659_LecSuppl_FreqResponseVsLaplace - system • Phase...

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