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Integrated Task and Motion Planning

Published 2 Oct 2020 in cs.RO and cs.AI | (2010.01083v1)

Abstract: The problem of planning for a robot that operates in environments containing a large number of objects, taking actions to move itself through the world as well as to change the state of the objects, is known as task and motion planning (TAMP). TAMP problems contain elements of discrete task planning, discrete-continuous mathematical programming, and continuous motion planning, and thus cannot be effectively addressed by any of these fields directly. In this paper, we define a class of TAMP problems and survey algorithms for solving them, characterizing the solution methods in terms of their strategies for solving the continuous-space subproblems and their techniques for integrating the discrete and continuous components of the search.

Citations (423)

Summary

  • The paper presents a comprehensive survey that integrates discrete task planning with continuous motion planning to address complex robotic challenges.
  • It details methodologies such as sequencing before satisfy and interleaved approaches to solve high-dimensional constraint satisfaction problems.
  • The study highlights future directions including kinodynamic planning, uncertainty management, and the integration of learning for adaptive robot behavior.

An Overview of Integrated Task and Motion Planning

The paper "Integrated Task and Motion Planning" by Garrett et al. provides a comprehensive survey of Task and Motion Planning (TAMP) as an integrated approach to solving complex robot planning problems that involve both discrete task planning and continuous motion planning. TAMP is especially vital for robots operating in unstructured environments where both the sequence of tasks and their execution need to be planned dynamically, such as in homes or hospitals.

TAMP Problem Definition

TAMP problems are characterized by the need to plan for robots that not only navigate but also manipulate objects within their environment. This necessitates combining elements from discrete task planning, mathematical programming, and motion planning. The paper delineates a class of TAMP problems and surveys various algorithms formulated to address them, emphasizing strategies for the continuous-space subproblems and the integration of discrete and continuous planning elements.

TAMP problems extend traditional motion planning by considering the entire system state, encompassing the robot and its environment, including objects that the robot can manipulate. They involve planning in a high-dimensional configuration space which is often under-actuated due to the constraints imposed by the robot's physical interactions with objects and the environment.

Motion Planning and Multi-Modal Planning

Motion planning lies at the heart of TAMP, involving the calculation of a trajectory for a point representing the robot's configuration through a multi-dimensional configuration space. An essential aspect of this planning is avoiding collisions, a problem well-addressed by sampling-based methods and trajectory optimization techniques.

The paper further discusses multi-modal motion planning, where the robot's interactions with its environment alter the feasible set of plans, necessitating a hybrid discrete-continuous search approach. This includes transitioning between modes or configurations, such as switching from holding an object to placing it. Understanding the modal structure of configuration spaces and leveraging it to plan effectively across different modes is key to TAMP.

Task Planning and Its Integration

Task planning provides a higher-level strategy for determining the sequence of actions required to achieve a goal. The paper discusses how AI techniques for large discrete domains, leveraging state-space factoring and domain-independent algorithms, can be beneficial in task planning for robotics. TAMP seeks to unify these approaches with motion planning to enable efficient, flexible, and reliable robot behavior planning.

Algorithms and Techniques

The paper provides a taxonomy of existing TAMP algorithms, categorized by their approach to solving hybrid constraint satisfaction problems and their integration with discrete task planning. It draws attention to methods for individual and joint satisfaction of constraints, as well as strategies for sampling and optimization.

Key approaches include sequencing before satisfy (finding a plan and then satisfying constraints), satisfy before sequencing (generating satisfying values for constraints before sequencing), and interleaved approaches (performing both tasks incrementally). The paper highlights the importance of modular solutions and reusability of computed values across planning problems.

Extensions and Future Directions

The authors identify several extension areas for TAMP, including planning for kinodynamic systems, handling uncertainty in state and action spaces, and integrating learning for more adaptive and less manually-specified planning processes. These extensions are crucial for improving TAMP's applicability to real-world scenarios involving dynamic environments and partial information.

Conclusion

The paper concludes with a call for continued research in integrating sampling and optimization, planning in environments with more complex dynamics, and incorporating learning-based methods into TAMP. These advancements could provide substantial improvements in robot autonomy and effectiveness, especially in unstructured environments.

Overall, this paper serves as both an introduction and a deep dive into TAMP, providing insights into current methodologies and potential improvements for future research.

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