Use Nyquist stability criterion to investigate range of (mathrm{K}) for closed loop stability for unity feedback systems
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Use Nyquist stability criterion to investigate range of \(\mathrm{K}\) for closed loop stability for unity feedback systems with following loop transmittances.
(a) \(\mathrm{G}_{1}(s)=\frac{\mathrm{K}(s+1)}{\left(s+\frac{1}{2}ight)(s-2)} ; \mathrm{K}>0\)
(b) \(\mathrm{G}_{2}(s)=\frac{\mathrm{K}}{s(\tau s-1)} ; \quad \tau>0\)
(c) \(\mathrm{G}_{3}(s)=\frac{\mathrm{K}}{s(s+1)\left(s^{2}+2 s+2ight)}\)
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