From Figure Q1.2 determine the plant transfer function G(s) if an extra gain factor in the numerator of G(s) is 5(10)+1,

If the controller is a simple gain factor K, determine using Figure Q1.2 the range of proportional controller gains for which the system will remain stable in the closed-loop operation. You must explain how you calculated your result.

A plant of transfer function (s) is to be operated in closed-loop, with unity negative feedback, and a controller in the forward path as shown in Figure 21.1. R >+ E 1 controller G(S) Figure Q1.1 The root-locus of this system is shown in Figure Q1.2, when the controller is a simple gain factor K. Root Locus 5 4 2 N Imaginary Axis 2. 2 -3 -4 -5 -20 -15 0 5 -10 -5 Real Axis Figure Q1.2