The project Automation of reverse parking using rules and logic, - - PowerPoint PPT Presentation

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The project Automation of reverse parking using rules and logic, - - PowerPoint PPT Presentation

The project Automation of reverse parking using rules and logic, regardless of the size of the trailer and its tractor. #ITEC2019 The Problems 1) The mathematics for the dynamic of a multiple axles trailer being pushed-back 2) The skill of


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#ITEC2019

The project

Automation of reverse parking using rules and logic, regardless of the size of the trailer and its tractor.

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#ITEC2019

The Problems

1) The mathematics for the dynamic of a multiple axles trailer being pushed-back 2) The skill of driving 3) The algorithm to always find a parking maneuver, whatever the configuration

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Methods used to solve the aforementioned problems

1) High-Frequency sampling to discretize the tractory 2) Control-Loops 3) State-Machine

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Chassis Simulation

1) The tractrix of Liebniz 2) Mathematical formulation 3) High-Frequency sampling to discretize the tractory

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Tractory discretization

B0 at t0 M0 at t0 B1 at t1 leash B1 at t1 M1 at t1 B0 at t0 leash dx M0 at t0 M1 at t1 dx

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High-Freq Sampling pros

  • Basic Newton’s laws & vector algebra
  • Angle based control-loops including

user defined delays

  • Well adapted to real-time drawing and

checking

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High-Freq Sampling cons

  • Needs 30 Hz or above for a better

accuracy of the tractory approximation

  • Short term prediction only
  • Needs a real-time engine
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Validation

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Driving Skills

  • Steering the driving wheels
  • Getting & Keeping the hitch angle
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Jackknife Angle

  • The jackknife problem
  • Empirically finding the jackknife angle
  • Computing the minimum turn radius in

forward and reverse modes

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Jackknife Resolution

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Maneuver Logic

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Maneuver Test

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The 3 points Algorithm

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Realignment

Sometimes the cornering will fail aligning the trailer correctly after the Gate point; Then, need to realign by moving forward; Automatic triggering from the state-machine.

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Short trailer parking

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Final State-Machine

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Long Trailer Parking 1

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Long Trailer Parking 2

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Conclusion

Discretization provided the same accuracy as complex maths. Basic control loops allowed precise alignments and turns. A single state-machine was enough to solve most configurations.

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Thank-you !

Any Question ?