R(S) C(s) 1 s S S 1 s Figure T2: Block diagram of a dynamical system = (a) Find the equivalent transfer function of the
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R(S) C(s) 1 s S S 1 s Figure T2: Block diagram of a dynamical system = (a) Find the equivalent transfer function of the
R(S) C(s) 1 s S S 1 s Figure T2: Block diagram of a dynamical system = (a) Find the equivalent transfer function of the block diagram shown in Figure T2. [5 marks] (b) Determine the stability of a system represented by the transfer function G(s) where 16 G(s) S2 + 6.4s + 16 [2 marks] (c) For the system in (b), find the damping ratio, undamped natural frequency, setting time and percent overshoot. [8 marks] (d) Determine the steady-state error of the response of the system in (b) to a step input. If the error is not zero, suggest a solution to cancel out this error. [5 marks] (e) Placing a function before G(s) on the feedforward path, find the range of the value of K such that the closed-loop unity feedback system is stable. [5 marks]
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