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Given \[ K(s) G(s) H(s)=\frac{k}{s(s+3)(s+12)} \] (c) Closer analysis reveals a better model for the open loop transfer function is \[ K(s) G(s) H(s)=\frac{k e^{-0.05 t}}{s(s+3)} \] (i) Sketch the polar frequency response (i.e. from \( \omega=0+ \) to \( \omega= \) \( +\infty) \) in the Nyquist Plane. [6 marks] (ii) Explain the effect of the presence of a pure time delay on system response in terms of its relative stability.

For the open loop transfer function, Given the data is, K(s)G(s)H(s)=ke?005ts(s+3) Compute, i) Draw the polar frequency response ii) Explain the effec