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arXiv · 2404.00133

An Optimization-Based Planner with B-spline Parameterized Continuous-Time Reference Signals

Chuyuan Tao·Sheng Cheng·Yang Zhao·Fanxin Wang·Naira Hovakimyan
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Abstract

For the cascaded planning and control modules implemented for robot navigation, the frequency gap between the planner and controller has received limited attention. In this study, we introduce a novel B-spline parameterized optimization-based planner (BSPOP) designed to address the frequency gap challenge with limited onboard computational power in robots. The proposed planner generates continuous-time control inputs for low-level controllers running at arbitrary frequencies to track. Furthermore, when considering the convex control action sets, BSPOP uses the convex hull property to automatically constrain the continuous-time control inputs within the convex set. Consequently, compared with the discrete-time optimization-based planners, BSPOP reduces the number of decision variables and inequality constraints, which improves computational efficiency as a byproduct. Simulation results demonstrate that our approach can achieve a comparable planning performance to the high-frequency baseline optimization-based planners while demanding less computational power. Both simulation and experiment results show that the proposed method performs better in planning compared with baseline planners in the same frequency.

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Chuyuan Tao, Sheng Cheng, Yang Zhao, Fanxin Wang, Naira Hovakimyan. 2024-03-29. An Optimization-Based Planner with B-spline Parameterized Continuous-Time Reference Signals. https://arxiv.org/abs/2404.00133

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