Q2. Consider the system which has open loop transfer function 0.368(z + 0.718) G(z) = (z - 1)(z -0.368) a) Sketch the root locus of the given system b) Design phase lag controller such that the desired root location for the uncompensated system (ie. the given system) is z = 0.648 for K 0.196. Known that the compensated system after = the controller has been applied has gain K = 0.8.