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HyRRT-Connect: Motion Planning Algorithm for Hybrid Systems


Core Concepts
Proposing the HyRRT-Connect algorithm for motion planning in hybrid systems.
Abstract
The content introduces the HyRRT-Connect algorithm, a bidirectional rapidly-exploring random trees (RRT) algorithm for motion planning in hybrid systems. It discusses the construction of motion plans through forward and backward propagation, addressing discontinuities, and ensuring solutions satisfy hybrid dynamics. The algorithm is applied to actuated bouncing ball and walking robot examples, showcasing computational efficiency and generality.
Stats
The proposed algorithm is called HyRRT-Connect. It constructs motion plans through forward and backward propagation. The algorithm addresses potential discontinuities in motion plans. It is applied to actuated bouncing ball and walking robot examples. The algorithm highlights computational efficiency and generality.
Quotes
"The proposed algorithm, called HyRRT-Connect, propagates in both forward and backward directions in hybrid time until an overlap between the forward and backward propagation results is detected." "The proposed algorithm is applied to an actuated bouncing ball example and a walking robot example so as to highlight its generality and computational improvement."

Key Insights Distilled From

by Nan Wang,Ric... at arxiv.org 03-28-2024

https://arxiv.org/pdf/2403.18413.pdf
HyRRT-Connect

Deeper Inquiries

How does the HyRRT-Connect algorithm compare to other motion planning algorithms in terms of computational efficiency

The HyRRT-Connect algorithm stands out in terms of computational efficiency compared to other motion planning algorithms due to its bidirectional approach. By propagating in both forward and backward directions simultaneously, the algorithm can construct two search trees that incrementally grow towards each other until they overlap. This bidirectional strategy allows for a more focused exploration of the state space, reducing the overall search time and computational complexity. Additionally, the algorithm's ability to connect forward and backward search trees through a reconstruction process further enhances its efficiency by eliminating discontinuities and ensuring a smoother motion plan. Overall, the bidirectional nature of HyRRT-Connect contributes significantly to its computational efficiency, making it a favorable choice for motion planning in hybrid systems.

What are the potential limitations of the bidirectional approach in the HyRRT-Connect algorithm

While the bidirectional approach in the HyRRT-Connect algorithm offers several advantages in terms of computational efficiency, there are potential limitations to consider. One limitation is the complexity of managing and coordinating the forward and backward search trees, especially in high-dimensional problems. As the algorithm incrementally constructs these trees and looks for overlaps, the computational overhead may increase significantly, impacting the overall efficiency. Additionally, the reliance on random sampling for selecting points and inputs can introduce variability in the results, leading to potential challenges in ensuring the convergence of the algorithm. Moreover, the reconstruction process to address discontinuities may add an extra computational burden, especially when fine-tuning the tolerance levels to achieve smoother motion plans. These limitations highlight the need for careful implementation and optimization of the bidirectional approach in the HyRRT-Connect algorithm to mitigate potential challenges.

How can the concepts introduced in the content be applied to real-world robotics applications beyond the examples provided

The concepts introduced in the content, particularly the HyRRT-Connect algorithm and its bidirectional motion planning approach, can be applied to various real-world robotics applications beyond the examples provided. For instance, in autonomous navigation systems for drones or self-driving vehicles, the algorithm can help in efficiently planning collision-free paths by considering both forward and backward exploration of the environment. In industrial automation settings, such as robotic assembly lines or warehouse operations, the bidirectional approach can optimize motion planning for robots operating in dynamic and constrained spaces. Additionally, in healthcare robotics for assistive devices or surgical robots, the algorithm can enhance trajectory planning to ensure safe and precise movements in complex environments. By adapting the principles of bidirectional motion planning and hybrid system dynamics, robotics engineers can improve the efficiency and reliability of motion planning algorithms across a wide range of robotic applications.
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