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Control ENG HW_Part_58

Control ENG HW_Part_58 - C 0.25s 1 = 2 U 0.25s s K C s 1 C...

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) 1 ( 25 . 0 1 25 . 0 2 + + + + = s K s s s U C C C C K s K s s U C 4 ) 1 ( 4 4 2 + + + + = b) ξ =2.3 C C C K K K 1 2 ; 4 1 + = = ξτ τ = C C C K K K 1 3 . 2 2 4 1 + = × 3 . 2 1 = + = C C K K K C =2.952 C) K C =4,U = 1/s = 16 20 4 1 2 + + + × = s s s s C 4 1 ) ( = C offset = 0.25. 13.8 For control system shown in Fig 13.8 (a) C(s)/R(s) (b) C( ) (c) Offset (d) C(0.5) (e) Whether the closed loop response is oscillatory.

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(a) ) 1 ( 4 1 ) 1 ( 4 + + + = s s s s R C 4 4 2 + + = s s R C b) C( ) =2*1=2 C( ) =2 C) offset = 0 d) 4 1 4 1 2 ; 2 1 = = = ξ ξτ τ + - - = - - 15 tan 4 15 sin 4 1 1 1 1 2
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