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Efficient Incremental Replanning for Feasible and Infeasible Linear Temporal Logic Task Specifications in Dynamic Environments


Kernekoncepter
An incremental replanning algorithm that efficiently finds optimal solutions for both feasible and infeasible Linear Temporal Logic task specifications in dynamically changing environments.
Resumé

The paper presents an incremental replanning algorithm, dubbed LTL-D*, for temporal-logic-based task planning in a dynamically changing environment. The considered failures are categorized into two classes: (i) the desired LTL specification can be satisfied via replanning, and (ii) the desired LTL specification is infeasible to meet strictly and can only be satisfied in a "relaxed" fashion.

For feasible tasks, the algorithm leverages the D* Lite algorithm and employs a distance metric within the synthesized automaton to quantify the degree of the task violation and then replan incrementally. This ensures plan optimality and reduces planning time, especially when frequent replanning is required.

For infeasible tasks, the algorithm optimally revises the plan to minimally violate the desired task specifications by integrating the violation penalty into the key design of the incremental search. This allows the algorithm to efficiently find an optimal run that deviates the least from the original task specification.

The approach is implemented in a robot navigation simulation to demonstrate a significant improvement in the computational efficiency for replanning by two orders of magnitude compared to baseline methods.

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Statistik
The number of states and transitions in the NBA, WTS, PA, and relaxed-PA for different map sizes are provided in Table I.
Citater
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Vigtigste indsigter udtrukket fra

by Jiming Ren,H... kl. arxiv.org 04-02-2024

https://arxiv.org/pdf/2404.01219.pdf
LTL-D*

Dybere Forespørgsler

How can the proposed algorithm be extended to handle uncertainty in the environment and robot dynamics

To handle uncertainty in the environment and robot dynamics, the proposed algorithm can be extended by incorporating probabilistic models and adaptive planning strategies. By integrating probabilistic motion planning techniques, the algorithm can account for uncertainties in sensor measurements, environmental changes, and robot dynamics. This can involve using techniques like Monte Carlo localization for localization uncertainty, Bayesian filtering for sensor fusion, and stochastic motion planning algorithms for dynamic environments. Additionally, the algorithm can incorporate adaptive replanning mechanisms that adjust the plan based on real-time feedback and sensor data, allowing the robot to react to unexpected events and uncertainties effectively.

How would the algorithm's performance be affected if the task specification is modified during execution, rather than just the environment

If the task specification is modified during execution, the algorithm's performance would be impacted in terms of plan optimality and computational efficiency. When the task specification changes dynamically, the algorithm would need to adapt by revising the plan in real-time to meet the new requirements. This could lead to increased computational complexity as the algorithm needs to replan while considering the modified task constraints. Additionally, the algorithm may need to balance between achieving the new task goals and minimizing deviations from the original specifications, which can affect the overall performance and efficiency of the replanning process.

What other applications beyond robot navigation could benefit from this incremental replanning approach for temporal logic specifications

Beyond robot navigation, the incremental replanning approach for temporal logic specifications can benefit various other applications in autonomous systems and robotics. One such application is automated warehouse management, where robots need to navigate through dynamic environments to pick and transport items efficiently. The algorithm can also be applied in autonomous vehicles for adaptive route planning based on changing traffic conditions and road closures. Furthermore, in smart manufacturing systems, the algorithm can optimize production workflows by dynamically adjusting task sequences based on real-time constraints and resource availability. Overall, any system that requires intelligent decision-making in dynamic environments can leverage this incremental replanning approach to enhance efficiency and adaptability.
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