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12 - Planning Under Sensing Uncertainty

from III - Decision-Theoretic Planning

Published online by Cambridge University Press:  21 August 2009

Steven M. LaValle
Affiliation:
University of Illinois, Urbana-Champaign
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Summary

The main purpose of Chapter 11 was to introduce information space (I-space) concepts and to provide illustrative examples that aid in understanding. This chapter addresses planning under sensing uncertainty, which amounts to planning in an I-space. Section 12.1 covers general-purpose algorithms, for which it will quickly be discovered that only problems with very few states can be solved because of the explosive growth of the I-space. In Chapter 6, it was seen that general-purpose motion planning algorithms apply only to simple problems. Ways to avoid this were either to develop sampling-based techniques or to focus on a narrower class of problems. It is intriguing to apply sampling-based planning ideas to I-spaces, but as of yet this idea remains largely unexplored. Therefore, the majority of this chapter focuses on planning algorithms designed for narrower classes of problems. In each case, interesting algorithms have been developed that can solve problems that are much more complicated than what could be solved by the general-purpose algorithms. This is because they exploit some structure that is specific to the problem.

An important philosophy when dealing with an I-space is to develop an I-map that reduces its size and complexity as much as possible by obtaining a simpler derived I-space. Following this, it may be possible to design a special-purpose algorithm that efficiently solves the new problem by relying on the fact that the I-space does have the full generality. This idea will appear repeatedly throughout the chapter.

Type
Chapter
Information
Planning Algorithms , pp. 522 - 586
Publisher: Cambridge University Press
Print publication year: 2006

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