A Fuzzy Approach to Discrete and Continuous Optimizations in Path Planning

Trung T. Pham; Guanrong Chen

doi:10.1109/isic.2003.1253942

A Fuzzy Approach to Discrete and Continuous Optimizations in Path Planning

Trung T. Pham
, Guanrong Chen

Department of Electrical Engineering

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

2 Citations (Scopus)

Abstract

This paper outlines a fuzzy formulation and its solutions for a path-planning problem. In this fuzzy approach, a workspace can be either a finite or infinite collection of discrete points with each representing a fuzzy set. The path-planning problem is formulated as a fuzzy optimization problem where the cost to be minimize representing the length of the path connecting two fuzzy sets representing the source and destination. There are two approaches to treating obstacles: formulating the fuzzy membership function of the fuzzy sets representing the area occupied by obstacles into the constraints, and formulating the fuzzy cost function with stiff penalty in using these fuzzy sets representing the area occupied by obstacles. Solutions are derived and numerical simulations are presented to verify the theoretical results. © 2003 IEEE

Original language	English
Title of host publication	Proceedings of the 2003 IEEE International Symposium on Intelligent Control
Publisher	IEEE
Pages	216-222
ISBN (Print)	0-7803-7891-1
DOIs	https://doi.org/10.1109/isic.2003.1253942
Publication status	Published - Oct 2003
Event	2003 IEEE International Symposium on Intelligent Control - Houston, United States Duration: 5 Oct 2003 → 8 Oct 2003

Publication series

Name
ISSN (Print)	2158-9860

Conference

Conference	2003 IEEE International Symposium on Intelligent Control
Place	United States
City	Houston
Period	5/10/03 → 8/10/03

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10.1109/isic.2003.1253942

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title = "A Fuzzy Approach to Discrete and Continuous Optimizations in Path Planning",

abstract = "This paper outlines a fuzzy formulation and its solutions for a path-planning problem. In this fuzzy approach, a workspace can be either a finite or infinite collection of discrete points with each representing a fuzzy set. The path-planning problem is formulated as a fuzzy optimization problem where the cost to be minimize representing the length of the path connecting two fuzzy sets representing the source and destination. There are two approaches to treating obstacles: formulating the fuzzy membership function of the fuzzy sets representing the area occupied by obstacles into the constraints, and formulating the fuzzy cost function with stiff penalty in using these fuzzy sets representing the area occupied by obstacles. Solutions are derived and numerical simulations are presented to verify the theoretical results. {\textcopyright} 2003 IEEE",

author = "Pham, \{Trung T.\} and Guanrong Chen",

year = "2003",

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publisher = "IEEE",

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T1 - A Fuzzy Approach to Discrete and Continuous Optimizations in Path Planning

AU - Pham, Trung T.

AU - Chen, Guanrong

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AB - This paper outlines a fuzzy formulation and its solutions for a path-planning problem. In this fuzzy approach, a workspace can be either a finite or infinite collection of discrete points with each representing a fuzzy set. The path-planning problem is formulated as a fuzzy optimization problem where the cost to be minimize representing the length of the path connecting two fuzzy sets representing the source and destination. There are two approaches to treating obstacles: formulating the fuzzy membership function of the fuzzy sets representing the area occupied by obstacles into the constraints, and formulating the fuzzy cost function with stiff penalty in using these fuzzy sets representing the area occupied by obstacles. Solutions are derived and numerical simulations are presented to verify the theoretical results. © 2003 IEEE

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U2 - 10.1109/isic.2003.1253942

DO - 10.1109/isic.2003.1253942

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 0-7803-7891-1

SP - 216

EP - 222

BT - Proceedings of the 2003 IEEE International Symposium on Intelligent Control

PB - IEEE

T2 - 2003 IEEE International Symposium on Intelligent Control

Y2 - 5 October 2003 through 8 October 2003

ER -

A Fuzzy Approach to Discrete and Continuous Optimizations in Path Planning

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