motion planning in dynamic environments two challenges for optimal path planning

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Motion Planning in Dynamic Environments

Two Challenges for Optimal Path planning

Classic Two-Layered Architecture for Mobile Robots

Dynamic Window

Approach (DWA)

Dynamic Window Approach

Admissible Velocities

Reachable Velocities

DWA Search Space

Dynamic Window Approach

Dynamic Window Approach

Dynamic Window Approach

Dynamic Window Approach

Dynamic Window Approach

Dynamic Window Approach

Dynamic Window Approach: PLUSES of this method

Problems of DWA

Robot Path Planning with A*

Robot Path Planning with A*

A*: Minimize the estimated Path Costs

Example: Path Planning for Robots in a Grid-World

Deterministic Value Iteration

Typical Assumption in Robotics for A* Path Planning

Problems with A* for robot path planning

Convolution of the Grid Map

Convolution of the Grid Map

Example: Map Convolution

5D – Planning. An Alternative to Two-Layered

Architecture

The Search Space

The Search Space Problem formulation

The Search Space Problem Formalization (2)

• What is the problem?• What is a solution?

The Main Steps of the 5D algorithm

Updating the Grid Map

Find a Path in the 2D-Space

Restricting the Search Space

Space Restriction

Find a Path in the Five Dimensional Space

Example and Comparisons to other

approaches

Example

Timeouts

Alternative Steering Command

Timeout Avoidance

Another Example and Comparisons

Summary

What else should be discussed?