Title
A hierarchical method for stochastic motion planning in uncertain environments
Abstract
This paper considers the problem of stochastic motion planning in uncertain environments, and extends existing chance constrained optimal control solutions. Due to the imperfect knowledge of the system state caused by motion uncertainty, sensor noise and environment uncertainty, the system constraints cannot be guaranteed to be satisfied and consequently must be considered probabilistically. To account for the uncertainty, the constraints are formulated as convex constraints on a random variable, known as chance constraints, with the violation probability of all the constraints guaranteed to be below a threshold. Standard chance constrained stochastic motion planning methods do not incorporate environmental sensing which typically leads to overly-conservative solutions. To address this, a novel hierarchical framework is proposed that consists of two main steps: an expected shortest path problem on an uncertain graph and a chance constrained motion planning problem. The first successful, real-time experimental demonstration of chance constrained control with uncertain constraint parameters and variables is also presented for a quadrotor equipped with a Kinect sensor navigating through an uncertain, cluttered 3D environment.
Year
DOI
Venue
2012
10.1109/IROS.2012.6385724
Intelligent Robots and Systems
Keywords
Field
DocType
autonomous aerial vehicles,convex programming,gesture recognition,graph theory,optimal control,path planning,probability,stochastic systems,uncertain systems,Kinect sensor,chance constrained motion planning problem,chance constrained optimal control solutions,cluttered 3D environment,convex constraints,environment uncertainty,expected shortest path problem,hierarchical method,imperfect system state knowledge,motion uncertainty,overly-conservative solutions,quadrotor,random variable,sensor noise,stochastic motion planning,uncertain constraint parameters,uncertain environments,uncertain graph,uncertain variables,violation probability
Motion planning,Graph theory,Random variable,Mathematical optimization,Imperfect,Optimal control,Shortest path problem,Computer science,Control theory,Gesture recognition,Convex optimization
Conference
ISSN
ISBN
Citations 
2153-0858
978-1-4673-1737-5
8
PageRank 
References 
Authors
0.59
7
3
Name
Order
Citations
PageRank
Michael P. Vitus126420.08
Wei Zhang222611.96
Claire J. Tomlin31491158.05