A Fleet Ballistic Missile (FBM) submarine has multiple silos, each containing a missile. The missile guidance...
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A Fleet Ballistic Missile (FBM) submarine has multiple silos, each containing a missile. The missile guidance system requires the misalignment angle between the boat reference axis and the missile reference axis. The autocollimator projects a laser beam that is parallel to the boat reference axis. An optical element is attached to the missile reference axis and reflects the incoming beam on a return path towards the autocollimator. An optical wedge refracts the returning laser beam on its way towards the autocollimator. A motor and a gearbox rotate the optical wedge until the refracted laser is parallel to the transmitted laser beam. The angle of rotation of the optical wedge that achieves parallelism is the angle of misalignment of the missile reference axis to the boat reference axis. V₁ 0₂ V₂ V₁ = .3 = 30 03 V₂ volts arc second = volts volt Autocollimator Optical Error 0₂ = 0₁-05 Auto Collimator V₁ Amp V₂ Motor Measurement of Missile Azimuth Misalignment 3.62 s(s+ 1.6) (s + 33.8) 03 Boat Reference Axis Laser 05 Optical Wedge 04 Gearbox Reflected Missile Reference Axis 05 = 2412 04 Non-inertial load 04 1 = 03 302.7 Missile Reference Axis 0₁ Boat Reference Axis Angle correction to fire control (not part of the control system analysis) 0₁ 02 V₁ 0₂ A suggested block diagram V₂ V₁ 03 V₂ 04 03 05 04 05 1)The system response to a unit step in misalignment is to have less than 20% overshoot and settle to within 2% of its final value within 0.6 seconds. Please determine if the present system meets these design requirements. Remember, you are applying second order design rules to a system that is not second order, however, a second order approximation could help.... 2)If the current system does not meet the design requirements, design a lead network compensator that enables this system to meet the requirements and have a ~50° Phase Margin. 3) Design must be based on mathematical analysis, trial and error can solve this, but alone, is NOT acceptable as a solution, MatLab Control Tool Box is helpful, however, a solution based on that is not acceptable either. A "bit of trial and error" after an analysis based design is completely acceptable. 4) If the ratio of the compensator pole to zero is more than around 5, two compensator in series is a possible solution. A Fleet Ballistic Missile (FBM) submarine has multiple silos, each containing a missile. The missile guidance system requires the misalignment angle between the boat reference axis and the missile reference axis. The autocollimator projects a laser beam that is parallel to the boat reference axis. An optical element is attached to the missile reference axis and reflects the incoming beam on a return path towards the autocollimator. An optical wedge refracts the returning laser beam on its way towards the autocollimator. A motor and a gearbox rotate the optical wedge until the refracted laser is parallel to the transmitted laser beam. The angle of rotation of the optical wedge that achieves parallelism is the angle of misalignment of the missile reference axis to the boat reference axis. V₁ 0₂ V₂ V₁ = .3 = 30 03 V₂ volts arc second = volts volt Autocollimator Optical Error 0₂ = 0₁-05 Auto Collimator V₁ Amp V₂ Motor Measurement of Missile Azimuth Misalignment 3.62 s(s+ 1.6) (s + 33.8) 03 Boat Reference Axis Laser 05 Optical Wedge 04 Gearbox Reflected Missile Reference Axis 05 = 2412 04 Non-inertial load 04 1 = 03 302.7 Missile Reference Axis 0₁ Boat Reference Axis Angle correction to fire control (not part of the control system analysis) 0₁ 02 V₁ 0₂ A suggested block diagram V₂ V₁ 03 V₂ 04 03 05 04 05 1)The system response to a unit step in misalignment is to have less than 20% overshoot and settle to within 2% of its final value within 0.6 seconds. Please determine if the present system meets these design requirements. Remember, you are applying second order design rules to a system that is not second order, however, a second order approximation could help.... 2)If the current system does not meet the design requirements, design a lead network compensator that enables this system to meet the requirements and have a ~50° Phase Margin. 3) Design must be based on mathematical analysis, trial and error can solve this, but alone, is NOT acceptable as a solution, MatLab Control Tool Box is helpful, however, a solution based on that is not acceptable either. A "bit of trial and error" after an analysis based design is completely acceptable. 4) If the ratio of the compensator pole to zero is more than around 5, two compensator in series is a possible solution.
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This system uses an autocollimator with an optical wedge to measure the misalignment angle between the submarines reference axis and the missiles refe... View the full answer
Related Book For
Organizational Behavior
ISBN: 978-0273774815
8th Edition
Authors: Andrzej A. Huczynski, David A. Buchanan
Posted Date:
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