2010
DOI: 10.1163/016918610x534277
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Three-Dimensional Path Planning of a Climbing Robot Using Mixed Integer Linear Programming

Abstract: Navigating rigid body objects through crowded environments can be challenging, especially when narrow passages are presented. Existing sampling-based planners and optimization-based methods like mixed integer linear programming (MILP) formulations, suffer from limited scalability with respect to either the size of the workspace or the number of obstacles. In order to address the scalability issue, we propose a three-stage algorithm that first generates a graph of convex polytopes in the workspace free of colli… Show more

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Cited by 10 publications
(6 citation statements)
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“…Despite the simplicity and easy handling, the shortest-path solution could hardly be used under a multi-constraint environment, thereby showing great limitations. Some scholars started from the perspective of energy for motion path planning of wall surface inspection robots in complex environments, selecting the optimal path via comprehensive evaluation of the consumed energy [33][34][35][36]. Meanwhile, some others introduced the penalty function for the selection of the optimal path [37][38][39].…”
Section: Related Workmentioning
confidence: 99%
“…Despite the simplicity and easy handling, the shortest-path solution could hardly be used under a multi-constraint environment, thereby showing great limitations. Some scholars started from the perspective of energy for motion path planning of wall surface inspection robots in complex environments, selecting the optimal path via comprehensive evaluation of the consumed energy [33][34][35][36]. Meanwhile, some others introduced the penalty function for the selection of the optimal path [37][38][39].…”
Section: Related Workmentioning
confidence: 99%
“…We first calculate the standard normal distribution of the interval [−2, 2] and then take 41 intervals of 0.1 normal distribution values. Each arc is determined according to the content of Definition 3 (see (17)). Consider…”
Section: Environment Modelingmentioning
confidence: 99%
“…These methods usually use external measurement to obtain the path planning of terrain two-dimensional coordinates and three-dimensional altitude information to establish digital terrain [10][11][12][13] and estimate its trafficability [14]. These traditional approaches solve the path planning problem to achieve two goals: shortest path [15][16][17] and obstacle avoidance demand [18]. However, in the face of an unstructured dynamic path environment formed by geological structure and stochastic dynamic generation, traditional space environment modeling should also consider topography and geology, pose adjustment cost, and walking constraints in addition to the realization of the shortest path planning target and obstacle avoidance.…”
Section: Introductionmentioning
confidence: 99%
“…;(ii) methods based on virtual potential fields and navigation functions, represented by artificial potential methods [8,9], etc. ;(iii) methods based on mathematic optimization, represented by rolling optimization [10], linear programming [11], etc. ; and (iv) methods based on biological intelligence, represented by ant colony algorithms [12], particle swarm algorithms [13], genetic algorithms [14,15], neural networks [16], etc.…”
Section: Introductionmentioning
confidence: 99%