Q.5 (a) Using the Routh-Hurwitz crition, determine if the following systems are stable or unstable, and how many roots l

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Q 5 A Using The Routh Hurwitz Crition Determine If The Following Systems Are Stable Or Unstable And How Many Roots L 1 (107.2 KiB) Viewed 38 times

Q.5 (a) Using the Routh-Hurwitz crition, determine if the following systems are stable or unstable, and how many roots lie in the left-hand plane of the s-plane diagram. (i) T(s) 53 +252 + 6 55 +683 +592 +8s + 20 = (ii) T(s) = 1 2s2 +593 +52 + 25 + 1 (10 marks) (b) For the negative closed loop feedback system with an open loop gain G(s) and a feedback gain H(s) = 1, where = (s – a) G(s) = K s(s+b) = determine the range of values for the gain K when (i) a < 0 and b < 0, and (ii) a > 0 and b > 0. (10 marks)