Motion Planning
Master path planning algorithms, kinematics, and obstacle avoidance to enable robots to navigate and manipulate objects in complex environments.
What is Motion Planning?
Motion planning is the problem of finding a sequence of valid configurations (positions and orientations) that move a robot from a start state to a goal state while avoiding obstacles. It is one of the most fundamental challenges in robotics, spanning both mobile robot navigation and robotic arm manipulation.
Planning Approaches
Grid-Based Search
A*, Dijkstra's, and D* algorithms search a discretized grid. Simple and complete but memory-intensive for high-dimensional spaces.
Sampling-Based
RRT, RRT*, and PRM randomly sample the configuration space. Effective for high-dimensional problems like robotic arm planning.
Optimization-Based
CHOMP, TrajOpt, and MPC formulate planning as optimization problems. Produce smooth trajectories with cost minimization.
Learning-Based
Neural motion planners and reinforcement learning policies learn to plan from experience. Fast inference but require training data.
Mobile Robot Navigation with Nav2
# Launch Nav2 navigation stack
ros2 launch nav2_bringup navigation_launch.py \
use_sim_time:=True \
params_file:=/path/to/nav2_params.yaml
# Send a navigation goal programmatically
from geometry_msgs.msg import PoseStamped
from nav2_simple_commander.robot_navigator import BasicNavigator
navigator = BasicNavigator()
goal = PoseStamped()
goal.header.frame_id = 'map'
goal.pose.position.x = 3.0
goal.pose.position.y = 2.0
goal.pose.orientation.w = 1.0
navigator.goToPose(goal)
while not navigator.isTaskComplete():
feedback = navigator.getFeedback()
print(f'Distance remaining: {feedback.distance_remaining:.2f}m')
Robotic Arm Planning with MoveIt 2
MoveIt 2 is the standard motion planning framework for robotic manipulators in ROS 2. It provides:
- Inverse kinematics (IK): Computing joint angles to reach a desired end-effector pose
- Collision checking: Ensuring the robot doesn't collide with itself or the environment
- Multiple planners: OMPL (RRT, PRM), STOMP, Pilz industrial planner
- Grasp planning: Generating feasible grasp poses for pick-and-place tasks
Algorithm Comparison
| Algorithm | Type | Completeness | Best For |
|---|---|---|---|
| A* | Grid search | Complete & optimal | 2D mobile robot navigation |
| RRT* | Sampling | Asymptotically optimal | High-dimensional arm planning |
| DWA | Local planner | Reactive | Real-time obstacle avoidance |
| MPC | Optimization | Receding horizon | Dynamic environments, smooth control |
| TEB | Optimization | Local optimal | Time-elastic band for mobile robots |
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