# tut 6 SE - EET309 Tutorial 6 TUTORIAL 6 1(a(b(c 2 Sketch a...

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EET309 Tutorial 6 TUTORIAL 6 1. Sketch a root locus for 0 K if the open loop transfer function of system is as follow: (a) ( 29 ( 29 ) 4 ( 3 1 ) 6 ( ) ( + + + + = s s s s K s G (b) ( 29 ( 29 5 4 1 3 ) ( 2 + + + = s s s K s G (c) ( 29 ( 29 ) 3 4 ( 3 4 2 ) 5 ( ) ( j s j s s s K s G - + + + + + = 2. A speed control with a rate feedback is shown below (a)Determine the range of stability K so that the system is always stable. (b)Sketch a root locus for K >0. (c)Obtain the minimum value of K before the response starts to oscillate and its respective closed loop poles. 3. Sketch a root locus for a system with an open loop transfer function of ) 1 ( + s s K . Consequently, estimate its gain at (a) critical damp and (b) damping ratio of 0.6. For damping ratio of 0.6, determine its undamped natural frequency and time constant. 4. Sketch a root locus for an open loop transfer function of ) 4 )( 2 ( ) 1 ( + + + s s s s K . Calculate the gain and time constant of the system at critical damped. 5.

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## This note was uploaded on 03/04/2011 for the course EET 309 taught by Professor Mariahahmad during the Spring '11 term at University of Malaya.

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tut 6 SE - EET309 Tutorial 6 TUTORIAL 6 1(a(b(c 2 Sketch a...

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