21. Attempt all parts of this question. (a) Control systems engineering and technology have hugely influenced our everyd
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21. Attempt all parts of this question. (a) Control systems engineering and technology have hugely influenced our everyd
21. Attempt all parts of this question. (a) Control systems engineering and technology have hugely influenced our everyday lives. Write a concise narrative on the future trends and scopes of control systems engineering and technology including potential challenges. [6 marks] The transfer functions of the control system shown in Figure Q1a are as follows: K Gc(S) = (s + 3)2 (s + 5) Gp(s) = (s + 1)(8 + 4) and H(S) = 1. R(S) r(t) + E(S) e(t) Gc(s) Go(s) C(s) c(t) H(s) Figure Q1a (b) Sketch the root-locus diagram, including any asymptotes. Indicate the point of instability and the positions of small positive values of K. Comment on the nature of system damping for 0 <K 50. [8 marks]