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LQG-MP: Optimized path planning for robots with motion uncertainty and imperfect state information

van den Berg, Jur, Abbeel, Pieter, Goldberg, Ken·2011·The International Journal of Robotics Research

Abstract

In this paper we present LQG-MP (linear-quadratic Gaussian motion planning), a new approach to robot motion planning that takes into account the sensors and the controller that will be used during the execution of the robot’s path. LQG-MP is based on the linear-quadratic controller with Gaussian models of uncertainty, and explicitly characterizes in advance (i.e. before execution) the a priori probability distributions of the state of the robot along its path. These distributions can be used to assess the quality of the path, for instance by computing the probability of avoiding collisions. Many methods can be used to generate the required ensemble of candidate paths from which the best path is selected; in this paper we report results using rapidly exploring random trees (RRT). We study the performance of LQG-MP with simulation experiments in three scenarios: (A) a kinodynamic car-like robot, (B) multi-robot planning with differential-drive robots, and (C) a 6-DOF serial manipulator. We also present a method that applies Kalman smoothing to make paths C k-continuous and apply LQG-MP to precomputed roadmaps using a variant of Dijkstra’s algorithm to efficiently find high-quality paths.

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Metadata

Authors
van den Berg, J., Abbeel, P., & Goldberg, K.
Venue
The International Journal of Robotics Research
Published
2011-06
Volume
30
Issue
7
Pages
895-913
ISSN
  • 0278-3649 (ISSN-L)
  • 1741-3176
OpenAlex
W2002201291
Cited by
395
References
31
FWCI
27.26
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: LQG-MP: Optimized path planning for robots with motion uncertainty and imperfect state information. https://app.cochat.ai/papers/10.1177/0278364911406562
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van den Berg, J., Abbeel, P., & Goldberg, K. (2011). LQG-MP: Optimized path planning for robots with motion uncertainty and imperfect state information. The International Journal of Robotics Research. https://doi.org/10.1177/0278364911406562

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