Control ENG HW_Part_60

Control ENG HW_Part_60 - stable. For Kc=11 = 10-(Kc)=...

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2 1 ) ( 1 2 2 1 ) 1 2 ( 1 t e t C s s s s C - - = + - + = + = For K C = 1, response of -ve feed back is t e t C s s s s C 2 2 1 2 1 ) ( 2 2 1 2 1 ) 2 ( 1 - - = + - + = + = response of +ve feed back is t t C s C = = ) ( 1 2 14.1 Write the characteristics equation and construct Routh array for the control system shown . it is stable for (1) Kc= 9.5,(ii) KC =11; (iii) Kc= 12 Characteristics equation

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0 ) 6 6 ( 11 6 0 ) 6 6 ( 11 6 ( 0 6 ) 3 )( 2 )( 1 ( 0 ) 3 )( 2 )( 1 ( 6 1 2 3 2 = + + + + = + + + + = + + + + = + + + + Kc s s s Kc s s s Kc s s s or s s s Kc Routh array ) 1 ( 6 ) 6 6 ( 6 11 1 2 3 Kc s Kc s s + + For Kc=9.5 = 10-(Kc)= 10-9.5=0.5>0 therefore
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Unformatted text preview: stable. For Kc=11 = 10-(Kc)= 10-11=-1<0 therefore unstable For Kc=121 = 10-(Kc)= 10-12=--2<0 therefore unstable 14.2 By means of the routh test, determine the stability of the system shown when K C = 2. Characteristic equation 10 4 2 10 2 3 1 2 1 2 = + + + + s s s...
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This note was uploaded on 11/13/2011 for the course COP 4355 taught by Professor Koslov during the Spring '10 term at University of Florida.

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Control ENG HW_Part_60 - stable. For Kc=11 = 10-(Kc)=...

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