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Autonomous and Mobile Robotics Prof. Giuseppe Oriolo An Introduction to V-REP with an Application to Motion Planning Paolo Ferrari outline introduction to V-REP basic elements dynamic modeling C++ plugins Matlab/Simulink

  1. Autonomous and Mobile Robotics Prof. Giuseppe Oriolo An Introduction to V-REP with an Application to Motion Planning Paolo Ferrari

  2. outline • introduction to V-REP • basic elements • dynamic modeling • C++ plugins • Matlab/Simulink interface • application to motion planning • task-constrained motion planning with moving obstacles • problem formulation • approach • V-REP simulations Oriolo: AMR - An Introduction to V-REP with an Application to Motion Planning 2

  3. the V-REP simulator • V-REP = Virtual Robot Experimentation Platform • a robotic simulator: a software environment aimed at generic robotic applications (not only motion planning) • relatively new (2014), produced by Coppelia Robotics • free and open source • available on Windows, Linux and Mac • example of applications • fast prototyping and verification • fast algorithm development • hardware control • etc Oriolo: AMR - An Introduction to V-REP with an Application to Motion Planning 3

  4. the V-REP simulator • provides physical engines for dynamic simulations • allows the simulation of sensors • its functionalities can be easily extended using many programming languages (C/C++, Python, Java, Lua, MATLAB, Octave, Urbi) and programming approaches (remote clients, plugins, ROS nodes,…) • provides a large and continuously growing library of robot models Oriolo: AMR - An Introduction to V-REP with an Application to Motion Planning 4

  5. three central elements • scene objects (how to build a robot) • basic building blocks • 12 different types • can be combined each other • calculation modules (how to simulate a robot) • 5 basic modules • can be combined each other • control mechanisms (how to control a robot) • 6 methods or interfaces • more than 7 programming languages • 6 methods can be used at the same time Oriolo: AMR - An Introduction to V-REP with an Application to Motion Planning 5

  6. scene objects • how to build a robot Oriolo: AMR - An Introduction to V-REP with an Application to Motion Planning 6

  7. scene objects: basic components • shapes • rigid mesh objects that are composed of triangular faces • can be grouped/ungrouped • different types (random, convex, pure shapes) • joints • revolute: rotational movement • prismatic: translational movement • screw: translational while rotational movement • spherical: three rotational movements • a robot model can be created through a hierarchical structure including (at least) shapes and joints Oriolo: AMR - An Introduction to V-REP with an Application to Motion Planning 7

  8. scene objects: sensors • proximity sensors • more than simple ray-type detection • configurable detection volume • fast minimum distance calculation within volume • vision sensors • render the objects that are in their field of view • embedded image processing • two different types: orthographic projection-type (e.g., close-range infrared or laser range finders) and perspective projection-type (e.g., camera-like sensors) • torque/force sensors • measure applied force/torque (on 3 principal axes) Oriolo: AMR - An Introduction to V-REP with an Application to Motion Planning 8

  9. scene objects: other components • paths/trajectories • allow 6D definitions • can be easily created (by importing a file or defining control points) • cameras • perspective/orthographic projection • can track an object while moving • lights: omnidirectional, spotlight, directional • mirrors: reflect images/light, auxiliary clipping frame • graphs: draw 3D curves, easily exportable • mills: cutting operations • dummies: auxiliary reference frame Oriolo: AMR - An Introduction to V-REP with an Application to Motion Planning 9

  10. calculation modules • how to simulate a robot Oriolo: AMR - An Introduction to V-REP with an Application to Motion Planning 10

  11. calculation modules • forward/inverse kinematics • can be used for any kinematic chain (closed, redundant, …) • build inverse kinematic (IK) group • different techniques for inverse kinematics (pseudoinverse, damped least square) • accounts for joint limits and obstacle avoidance • minimum distance computation • can be used between any pair of meshes • very fast and optimized • collision detection • can be used between any pair of meshes • scene objects can be defined as collidable or not Oriolo: AMR - An Introduction to V-REP with an Application to Motion Planning 11

  12. calculation modules • path/motion planning • can be performed for any kinematic chain • holonomic/non holonomic path planning • requires the specification of: start/goal configuration, obstacles, robot model • uses the OMPL library • physics/dynamics • e nable dynamic simulations (gravity, friction, …) • four different physical engines: Bullet, ODE, Vortex, Newton (ordered by computational demand) • dynamic particles to simulate air or water jets Oriolo: AMR - An Introduction to V-REP with an Application to Motion Planning 12

  13. control mechanisms • how to control a robot local remote Oriolo: AMR - An Introduction to V-REP with an Application to Motion Planning 13

  14. control mechanisms • local approach: control entity is internal • embedded script: associated to a single robot • add-on: can only execute minimalistic code • plugin: most general tool, fast computation, written in C++ • remote approach: control entity is external • ROS node: bridge between V-REP and ROS • custom solution: client/server paradigm using the BlueZero framework • remote API client: communication between VREP and an external application (e.g., Matlab/Simulink) Oriolo: AMR - An Introduction to V-REP with an Application to Motion Planning 14

  15. dynamic modeling of a robot • building a dynamic model in V-REP is very easy: no equations are needed • it requires a few simple steps: • 1) import a CAD model of the robot • 2) associate to each body of the robot its dynamic parameters: mass, center of mass, inertia matrix Oriolo: AMR - An Introduction to V-REP with an Application to Motion Planning 15

  16. dynamic modeling of a robot • 3) build a model tree: a tree that represents all hierarchical information of the kinematic chains (links and joints) Oriolo: AMR - An Introduction to V-REP with an Application to Motion Planning 16

  17. C++ plugins • uses the V-REP regular APIs (more than 450 functions available) • produces a shared library (e.g., .so for Linux and .dll for Windows) • automatically loaded by V-REP at program start-up • can be integrated with other C++ libraries (e.g., Eigen, Octomap, etc) • two main applications • extend V-REP's functionality through user-written functions (e.g., motion planning algorithms, controllers, …) • used as a wrapper for running code written in other languages • a single plugin can manage more than one robot • fast execution (particularly suited for motion planning) Oriolo: AMR - An Introduction to V-REP with an Application to Motion Planning 17

  18. C++ plugins • at each event in the V-REP interface, a corresponding message is sent to the plugin • each message triggers the execution of a particular portion of the code in the plugin before starting the simulation (“offline” functions) simulation is stopped during the simulation (“online” functions) Oriolo: AMR - An Introduction to V-REP with an Application to Motion Planning 18

  19. Matlab/Simulink interface • uses the V-REP remote APIs (more than 100 functions available) • an interface for sending/receiving commands to/from V-REP • two main blocksets: V-REP sink and V-REP source respectively sends/reads values from V-REP joints • V-REP and Matlab/Simulink times automatically synchronized • Matlab/Simulink commands start/stop V-REP simulations Oriolo: AMR - An Introduction to V-REP with an Application to Motion Planning 19

  20. Matlab/Simulink interface Oriolo: AMR - An Introduction to V-REP with an Application to Motion Planning 20

  21. summary • V-REP main advantages • very good online documentation • four different physics engines • most complete open source software for dynamic simulations • very good set of APIs and control mechanisms • very fast software development when one gets the V-REP structure • V-REP main drawbacks • vision sensors have high computational payload • since it is a huge software, it is not so friendly at the beginning • multi-robot simulations have high computational payload • collision checking library is slow Oriolo: AMR - An Introduction to V-REP with an Application to Motion Planning 21

  22. task-constrained motion planning with moving obstacles • consider • a robot whose configuration 𝒓 takes values in an 𝑜 -dimensional configuration space • an assigned task path 𝒛 𝑒 (𝑡) , 𝑡 ∈ [𝑡 𝑗𝑜𝑗 , 𝑡 𝑔𝑗𝑜 ] , that takes values in an 𝑛 -dimensional task space • an environment populated by fixed and moving obstacles • assume • the robot is redundant wrt the task ( 𝑜 > 𝑛 ) • obstacle trajectories are known • the TCMP-MO problem consists in finding a feasible, collision-free configuration space trajectory that allows the robot to exactly execute the assigned task Oriolo: AMR - An Introduction to V-REP with an Application to Motion Planning 22

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