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Safer Gap: A Gap-based Local Planner for Safe Navigation with Nonholonomic Mobile Robots

This paper extends the gap-based navigation technique in Potential Gap by guaranteeing safety for nonholonomic robots for all tiers of the local planner hierarchy, so-called Safer Gap. The first tier generates a Bezier-based collision-free path through gaps. A subset of navigable free space from the robot to a gap, called the keyhole, is defined to be the union of the largest collision-free disc centered on the robot and a trapezoidal region directed through the gap. The keyhole free space is encoded by a shallow neural network-based zeroing barrier function (ZBF). In the next tier, Nonlinear Model Predictive Control (NMPC), with Keyhole ZBF constraints and output tracking of the Bezier path, synthesizes a safe kinematically feasible trajectory. Low-level use of projection operator, serves as a last action to enforcing safety if NMPC and Keyhole ZBF fail to converge to a solution within the prescribed time. Simulation and experimental validation of Safer Gap confirm its collision-free navigation properties.

Supplementary materials

Dependencies and Installation

Run safer gap in simulation

STDR

Start simulation

roslaunch safer_gap_benchmark stdr_nonholonomic_sector_laser_world.launch

Start safer gap

roslaunch safer_gap_benchmark bgap_mpc_casadi_nonholonomic_controller

Open Rviz, then send goal points

rviz -d PATH_TO_SAFER_GAP_BENCHMARK/safer_gap_benchmark/rviz/bgap_mpc_stdr.rviz

Gazebo

Start simulation environment

roslaunch nav_configs gazebo_sector_world.launch

Spawn robot in the environment

roslaunch nav_configs spawn_turtlebot.launch

Start safer gap

roslaunch nav_scripts turtlebot_bgap_mpc_casadi_controller.launch

Open Rviz, then send goal points

rviz -d PATH_TO_SAFER_GAP_BENCHMARK/safer_gap_benchmark/rviz/bgap_mpc.rviz

License

The source code is released under MIT license.

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