A closed loop is given with the following block diagram Find the closed loop tra

Question

A closed loop is given with the following block diagram Find the closed loop transfer function G(s) = y(s) / u(s) of the system Also find the equivalent "open loop" transfer function G0 (s) for drawing the root locus of the system with k ge 0 Calculate the following characteristics of the asymptotes of the root locus Number of asymptotes points of of the asymptotes angles between the asymptotes and the real axis. Find the of the real axis which belong to the real focus. Find the equations which determine the break points of the root locus and find all the acceptable break points. Calculate the angles of departure of each locus focus the corresponding "open loop" pole Using the above info, draw approx, the root focus

Explanation / Answer

a)T(S)= ((s+2)(9s^2-6s+10)(s^2+2s+10))/((s-2)((s+1)^2+3)^2(s^2+2s+1))(1-s)+k(s+2)(9s^2-6s+10))

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