1. Question (25 marks) a) A RC circuit in a welding robot operational system has been modelled with a Laplace transfer f

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1 Question 25 Marks A A Rc Circuit In A Welding Robot Operational System Has Been Modelled With A Laplace Transfer F 1 (95.74 KiB) Viewed 36 times

1. Question (25 marks) a) A RC circuit in a welding robot operational system has been modelled with a Laplace transfer function as Y(s) k =G(s) Explain the names and roles of k and T. US) Ts +1 [3 Marks] b) Derive the time response y(t) to an input u(t)=5 by taking inverse Laplace transform of the output transfer function y(s). [5 marks] c) Determine the value of y(t =1,k=1) and explain the meaning of the output amplitude against the time instant. [5 marks] d) Determine the steady output y(t=-) and prove this is consistent with that obtained from using the final value theorem. [4 marks] e) Determine the corresponding frequency response transfer function G(jo) in terms of amplitude ratio and phase angle. Then sketch the asymptote Bode plots. [4 marks] f) Briefly explain why a Laplace transfer function model needs to be used to replace differential equations in control engineering applications. (less than 30 words). [4 marks]