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Zhang et al. Intell Robot 2022;2(3):275­97
                                                                                     Minitaur
                                                                     ANYmal
                                                                                                Minitaur
                                                                                                                                       ANYmal
                                                                                                Pybullet
                                                                                     Pybullet
                                                                                                                                       RaiSim
                                                                     RaiSim
                                                                                  Acceler-
                                                                                               Orienta-
                                                                                                                                          Ve-
                                                                                     Roll
                                                                    Impulse
                                                                         and
                                                                      and
                                                                                                                                       Joint
                                                                                                                                          Base
                                                                      Slippage
                                                                                     Base
                                                                                                                                             Deviation.
                                                                                                                                       Slip,
                                                                         Collision,
                                                                                  Joint
                                                                    Body
                                                                                                                                          Torques,
                                                                                               Base
                                                                                     and
                                                                                                                                       and
                                                                      Foot
                                                                                     Angles,
                                                                                  Distance,
                                                                    State,
                                                                                                                                       Target
                                                                                               and
                                                                                                                                             Angular
                                                                         Self
                                                                                                                                          and
                                                                      Slippage,
                                                                    Joint
                                                                                               Gap,
                                                                            Gap.
                                                                                                                                       Controller:
                                                                         Clearance,
                                                                                     and
                                                                                                                                          Velocities
                                                                                  Walking
                                                                                                                                             locities,
                                                                            Action
                                                                    Power,
                                                                                       Angle.
                                                                                     ations
                                                                                               Speed
                                                                                                  tion.
                                                                      and
                                                                                   Leg Swing Angles and
                                                                                                and
                                                                                              Angles
                                                                    Joint
                                                                                                                                         Joint
                                                                                                Extensions,
                                                                                                   Scales.
                                                                                              Swing
                                                                                      Extensions.
                                                                                                                                           Positions.
                                                                      Positions.
                                                                                                                                         Desired
                                                                    Desired
                                                                                                   Phase
                                                                                                and
                                                                                              Leg
                                                                        Locomo-
                                                                                                                                       Con-
                                                                                  Orienta-
                                                                                                                                          (Current&Next),
                                                                          Height,
                                                                                     Angular
                                                                  Standing
                                                                                               BaseLinearVelocity, Orientation
                                                                     State
                                                                                                  Positions.
                                                                                                                                             Velocities.
                                                                                                                                       Variables.
                                                                     Velocity,
                                                                             Up).
                                                                          Base
                                                                                     Base
                                                                                  (8-dim),
                                                                  History.
                                                                        (Self-Righting).
                                                                             (Standing
                                                                                                  Motor
                                                                                       (2-dim).
                                                                                     and
                                                                          Command,
                                                                     Linear
                                                                                                                                             and
                                                                                                                                       Phase
                                                                                                                                          Phase
                                                                  and
                                                                                  Angles
                                                                                     (2-dim),
                                                                                                  and
                                                                                                                                             Angles
                           publications research locomotion quadrupedal DRL-based  in  Robot  Simulator  Function  Reward  Space  Action  Space  State  Po-  Base  Previous  and  Current  Angu-  Base  (2-dim),  Orientation  Direc-  Running  Desired  sitions,  Minitaur  Pybullet  Pose.  Leg  Desired lar Velocities (2-dim), and Motor  Veloci-  and  Torques  Motor  tion,  (8-dim).  Angles  ties.  Angles  Swing  Leg Orientation, Base Angular Veloc-  Fre- Extensions,  and  Minitaur  Pybullet  Acutual). SpeedGap(Desiredvs.  (control  Velocity  Desired  ities,  Amplitude,  quency,  TG.  the  of  Phase  and  input),  Height.  Walking  An-  Base  Gravity, Self-Righting:  Ve
                                                                             Space
                                                                                                                                       State,
                                                                     Base
                                                                                       Velocities
                                                                  Velocities
                                                                                                  (3-dim),
                                                                                                                                          troller:
                                                                                  Motor
                                                                        Space
                                                                                                                                             Joint
                                                                             State
                                                                          tion:
                                                                                     tion
                                                                                                                                       Feet
                                                                     Up:
                           relevant  Algorithm  PPO  PPO            +  TRPO  GAE [22]  SAC      CEM  +       ARS          PPO         TRPO,  GAE
                           most                                                                 MPC                                   PPO,
                           the         loco-  algo-  be-  pro-    to  us-                                  au-              in        com-
                           of          agile  DRL  learning  that  knowl-  approach  maneuvers  controller.  Entropy  minimal  neural  framework  from  to  complex  learn  to  behaviors  terrain-  which
                           Classification  design  leveraging  for  PMTG  using  prior  and  DRL  recovery  Max.  requiring  learn  to  tuning  policies.  RL  locomotion only4.5minutesofdatacollected  robot.  framework  decompose  tasks.  effective quadrupedal walking using DRL,  these  training  for  locomotion, binesModel-BasedPlanningand
                           1.    Description  to  system  by  architecture  by  memory  model-free  hierarchical  a  sample-efficient  algorithm  model-based  learning  quadruped  hierarchical  tomatically  locomotion  is  realize  technique
                           Table       A  motion  rithms.  An  haviors  vides  edge.  A  control  ing  A  RL  per-task  network  A  for  a  on  A  kMPs  and  Stoch.  A  aware  RL.
                                 Year     2018       2018            2019            2019       2019         2019         2019         2019
                                 Pub.     RSS        CoRL            ArXiv           RSS        CoRL         IROS         ICRA         ICRA
                                        Locomo-     Gener-        a  for  Rein-    Reinforce-               Learning    Loco-  Kinematic  of  Control  Rein-
                                        Agile  Robots [39]  Trajectory  Controller  Deep  using  Deep          Locomotion [46]  Quadruped  through  (kMPs) [55]  and  Deep  using
                                        Learning  Quadruped  Modulating  Recovery  Robot  Learning [48]  via  Walk  DataEfficientReinforcementLearning  Robots [99]  Reinforcement  Learned  Behaviors  Primitives  Planning  Gaits  Learning [100]
                        APPENDIX  Publication  Sim-to-Real:  For  tion  Policies  ators [49]  Robust  Quadrupedal  forcement  to  Learning  Learning [98]  ment  Legged  for  Hierarchical  Quadruped  for  Realizing  motion  Motion  DeepGait:  Quadrupedal  forcement
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