Question: The open-loop transfer function of a feedback system with variable gain K, KG(s)H(s) has the open loop poles of -1 + j and -1; it also has an open-loop zero of 1.
(a) Sketch the root locus (without using MATLAB) for this system, knowing that it has three closed-loop poles and the root locus plot has only one asymptote.
(b) Determine the open-loop transfer function of this system.