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Unformatted text preview: rl A = magnitude of the vector from the zero at ± z to the point j Z z i i A magnitude of the vector from the pole at ± p i to the point j p i I angle of the vector from the zero at ± z to the point j z i i angle of the vector from the pole at ± p i to the point j p i 4 Examplefirst order system As Z goes from zero to plus infinity G ( j ) traces a contour in the complex plane 5 Example: second order system 6 Some typical second order system polar plots for k G ( s ) 2 rl 2 s ± 2 GZ s ± Z n n Critical damping ( G 1 )Medium damping ( 0.7 ) 7 Light damping( G 0.1 ) Zero damping ( ) 8 The Quanser An integrator (pole at the origin) 9 A differentiator (zero at the origin) 10...
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This note was uploaded on 11/06/2011 for the course AERO 100 taught by Professor Willcox during the Fall '03 term at MIT.
 Fall '03
 willcox
 Aeronautics

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