Q.2 The space shuttle is steered using an on-board guidance controller which determines the desired attitude. The ascent

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Q 2 The Space Shuttle Is Steered Using An On Board Guidance Controller Which Determines The Desired Attitude The Ascent 1 (177.98 KiB) Viewed 32 times

Q.2 The space shuttle is steered using an on-board guidance controller which determines the desired attitude. The ascent autopilot uses the errors between the measured and determined target attitude through the angular position, velocity and accelerations to gimbal the space shuttle main engines and the solid rocket boosters to effect the desired vehicle attitude. A simplified version of the pitch controller is given below in Figure Q2. Commanded pitch rate Commanded pitch acceleration Controller Commanded pitch Shuttle dynamics Pitch G2(s) K1 K2 G(s) Pitch error Pitch rate error Pitch acceleration error Accelerometer Rate gyro S Inertial measuring unit FIGURE Q2 (a) Find the closed-loop transfer function Tp(s) relating measured pitch to commanded pitch. Assume all other inputs are zero. (8 marks) (b) For the system in (a), determine the sensitivity of the transfer function to changes in the gain K1 . (4 marks) (c) Find the closed-loop transfer function Tr(s) relating measured pitch rate to commanded pitch rate. Assume all other inputs are zero. (8 marks)