- Please Answer Both Parts Fully With Justification Thanks 1 (386.35 KiB) Viewed 31 times
Please answer both parts fully with justification - thanks!
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answerhappygod
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Please answer both parts fully with justification - thanks!
Please answer both parts fully with justification - thanks!
A position control system for a telescope has the system function H(s) given below: H(s) = KG(s) 1+ KG(s)' where G(s) is the system function of the motor that moves the telescope 1 G(s): s(s+8)' and K is the gain of the amplifier in the control system. Note that K is always a positive number. The input x(t) to the position control system is the desired angle (i.e., the angle that the user tells the telescope to move to). The output y(t) is the actual angle that the telescope is pointing at. = (a) When the user wants to change the angle of the telescope, they put in a unit step input x(t) ou(t), where 0o is the desired angle. Choose a value of K such that the position control system is stable and so that the system responds as quickly as possible to a step input without overshooting the desired angle. Supporting work/justification to be looked at: (b) Consider the problem of tracking a star as it moves across the sky. In this case, the angle of the telescope must change with time. For this problem, we'll assume that the user wants the angle of the telescope to change linearly with time, i.e., the input is x(t) = tu(t). Assume that your system is designed with the value of K you chose in part a. How well does the telescope track the star? Does it point directly at the direction the user has selected? or is there an offset between the user's desired angle (x(t)) and the angle of the telescope (y(t)) as it moves? Discussion of tracking performance:
A position control system for a telescope has the system function H(s) given below: H(s) = KG(s) 1+ KG(s)' where G(s) is the system function of the motor that moves the telescope 1 G(s): s(s+8)' and K is the gain of the amplifier in the control system. Note that K is always a positive number. The input x(t) to the position control system is the desired angle (i.e., the angle that the user tells the telescope to move to). The output y(t) is the actual angle that the telescope is pointing at. = (a) When the user wants to change the angle of the telescope, they put in a unit step input x(t) ou(t), where 0o is the desired angle. Choose a value of K such that the position control system is stable and so that the system responds as quickly as possible to a step input without overshooting the desired angle. Supporting work/justification to be looked at: (b) Consider the problem of tracking a star as it moves across the sky. In this case, the angle of the telescope must change with time. For this problem, we'll assume that the user wants the angle of the telescope to change linearly with time, i.e., the input is x(t) = tu(t). Assume that your system is designed with the value of K you chose in part a. How well does the telescope track the star? Does it point directly at the direction the user has selected? or is there an offset between the user's desired angle (x(t)) and the angle of the telescope (y(t)) as it moves? Discussion of tracking performance:
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