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# Solution routh table is given by 11 5 9 1 1 s s3 3 1

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Unformatted text preview: ight? Solution: Routh table is given by 11 5 9 1 1 s +s3+ 3 1 1 (A) 3 7(A)1 1 (B) (D) (D) (B) (C) (C) s8 1 + 26 s +s1+ 2 s + 2 2s + 12s + 1 (s +(s + s + 2) 2) 1)( 1)(s + -11 a 4 0.37a s+3 s +(E)01 s + 1.01 1. s (F) + 3 (E) 318 (s + 1)(2s(F) + 1) (s + 1)(2s + 1) (s4+ 1)(2s + 1) (s + 1)(2s + 1) 2 t Since there two sign changes in the ﬁrst column, there are two poles in the RHP. Since there is no zero time constant entry in the ﬁrst column, there is no root on the imaginary axis. The degree of the polynomial is ﬁve, Solution: The signal shown is a typical impulse response for a ﬁrst order system with time constant so there are ﬁve roots. Thus, the number of roots in the LHP is ﬁve minus two, 3 . 2, following systems have the largest Thus C overshoot in response to a step input? 24. Which of the which translates to a pole at s = 0.5. percentis one such system. On the other hand, E has poles at 1 and 0.5, former of which is almost canceled by its (s): 26. Consider the unity feedback system of the plant G(s) and contro...
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