Question 1 (20 marks) Please consider the following closed loop control system where R(s) is the reference signal, G(s)

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Question 1 20 Marks Please Consider The Following Closed Loop Control System Where R S Is The Reference Signal G S 1 (87.91 KiB) Viewed 42 times

Question 1 (20 marks) Please consider the following closed loop control system where R(s) is the reference signal, G(s) is the plant, E(s) is the error, H(s) is the feedback gain, and C(s) denotes the response of the control system (all of them in Laplace domain). R(S) E(S) C(S) G(s) H(s) E(S a) Find the E(s) transfer function with respect to the reference R(s) signal (i.e., C). R(S' (5 marks) b) Find the steady state error (Ess) of the system with respect to the unit-parabola reference (R(s) = ). (5 marks) c) Discuss the behaviour of the steady state error of the system in part (b) by assuming various system types. (Hint: Please note that the reference signal is still unit-parabola and suppose that the open loop transfer function can be written in a general form as k(1+T1s)(1+T2s)... (1+Ins) G(s)H(s) = (10 marks) SN(1+Tas)(1+Tbs)... (1+T2)