CONTROL SYSTEMS ENGINEERING - WILEYPLUS
CONTROL SYSTEMS ENGINEERING - WILEYPLUS
7th Edition
ISBN: 9781119143277
Author: NISE
Publisher: WILEY
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Chapter 8, Problem 17P

a.

To determine

To plot: The root locus for the given unity feedback system and determine the breakaway points, imaginary axis crossing, range of gain for stability, and calibrate gain for four points. Also, compute the angle of arrival.

b.

To determine

To plot: The root locus for the given unity feedback system and determine the breakaway points, imaginary axis crossing, range of gain for stability, and calibrate gain for four points.

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Which of the following sequences converge and which diverge? 20) an = 21) a = n! 106 1/(Inn) 3n+1 " 22) a = 3n-1 1/n x" 23) a = , x>0 2n+1 3" x 6" 24) an 25) a, = tanh(n) = 2" xn! n² 1 26) a = sin 2n-1 n 27) a = tan(n) 1 28) a = 1 3 ++ (Inn) 200 2" 29) an n 30) =n-√√n²-n 1"1 31) a == dx nix
Which of the following sequences converge and which diverge? n+1 6) a = 1- 2n (-1)+1 7) a = 2n-1 2n 8) an = n+1 1 9) a = sin + 2 n sin n 10) a = n 11) an = 12) a = 13) an 14) an 15) an 16) an n 2" In(n+1) = 81/n n n =(1+7)" = = 10n 3 n 1/n 17) an = In n 1/n n' 18) a =√4"n

Chapter 8 Solutions

CONTROL SYSTEMS ENGINEERING - WILEYPLUS

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