A simplified suspension system for an aircraft landing gear is shown in Figure Q2, where K and K, are constant gains. R(S) C(s) K s(s+ 6) 1+ Kis Figure Q2 The task is to analyse and design the control system as specified below: (a) Determine the poles and zeros of the open loop transfer function. [5 marks] (b) Find the closed loop transfer function. [6 marks] (c) Design the control system by selecting gains K and Kt such that it has a damping ratio 5 of 0.5 and the undamped natural frequency con of 7 rad/sec. [8 marks] (d) With reference to the final theorem lim f(t) - IlmsF(s), determine the system output steady state response to a unit step stimulation [6 marks]