Question: Root Locus LO 4 3 2. 0 o O Imaginary Axis 2 -3 -4 -5 -20 -15 5 -10 -5 Real Axis Figure Q1.2 (a)

Root Locus LO 4 3 2. 0 o O Imaginary Axis

Root Locus LO 4 3 2. 0 o O Imaginary Axis 2 -3 -4 -5 -20 -15 5 -10 -5 Real Axis Figure Q1.2 (a) From Figure Q1.2 determine the plant transfer function G(s) if an extra gain factor in the numerator of G(s) is 5a+1, where parameter a represents 4 (15 Marks) (b) 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. (10 Marks)

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