Question: A feedback control system with adjustable gain K is shown as in Figure 5.1. Given G(s)=(4s+1)1 and H(s)=s1. For K=2, (a) Prove that this system

A feedback control system with adjustable gain K is shown as

A feedback control system with adjustable gain K is shown as in Figure 5.1. Given G(s)=(4s+1)1 and H(s)=s1. For K=2, (a) Prove that this system belongs to the 3rd quadrant on S-plane. (7 marks) (b) Construct the mathematical equation for magnitude, GH(jw) and phase angle, GH(jw) of the system. (4 marks) (c) Sketch Nyquist plot for G(s)H(s). (11 marks) (d) Discuss the stability of the system

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