(a) Figure Q1 represents a block diagram of a feedback control system. By using Routh-Hurwitz Criterion, determine the range of controller gain, K for a stable system. (b) Plot the root locus of the...

Extracted text: (a) Figure Q1 represents a block diagram of a feedback control system. By using Routh-Hurwitz Criterion, determine the range of controller gain, K for a stable system. (b) Plot the root locus of the feedback system when the gain of the controller K is varied from 0 to *. Indicate all the steps clearly U(s) Y(s) K (s + 1)(s + 6) 0.2 (1+ 0.2s) Figure Q1