Mixed-Integer Representations in Control Design [electronic resource] : Mathematical Foundations and Applications / by Ionela Prodan, Florin Stoican, Sorin Olaru, Silviu-Iulian Niculescu.
2016
TJ212-225
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Title
Mixed-Integer Representations in Control Design [electronic resource] : Mathematical Foundations and Applications / by Ionela Prodan, Florin Stoican, Sorin Olaru, Silviu-Iulian Niculescu.
Author
Prodan, Ionela, author.
ISBN
9783319269955 (electronic book)
331926995X (electronic book)
9783319269931
331926995X (electronic book)
9783319269931
Published
Cham : Springer, 2016.
Language
English
Description
1 online resource (xii, 107 pages) : color illustrations.
Item Number
10.1007/978-3-319-26995-5 doi
Call Number
TJ212-225
Dewey Decimal Classification
629.8
Summary
In this book, the authors propose efficient characterizations of the non-convex regions that appear in many control problems, such as those involving collision/obstacle avoidance and, in a broader sense, in the description of feasible sets for optimization-based control design involving contradictory objectives. The text deals with a large class of systems that require the solution of appropriate optimization problems over a feasible region, which is neither convex nor compact. The proposed approach uses the combinatorial notion of hyperplane arrangement, partitioning the space by a finite collection of hyperplanes, to describe non-convex regions efficiently. Mixed-integer programming techniques are then applied to propose acceptable formulations of the overall problem. Multiple constructions may arise from the same initial problem, and their complexity under various parameters - space dimension, number of binary variables, etc. - is also discussed. This book is a useful tool for academic researchers and graduate students interested in non-convex systems working in control engineering area, mobile robotics and/or optimal planning and decision-making.
Bibliography, etc. Note
Includes bibliographical references and index.
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text file PDF
Series
SpringerBriefs in electrical and computer engineering.
SpringerBriefs in electrical and computer engineering. Control, automation and robotics.
SpringerBriefs in electrical and computer engineering. Control, automation and robotics.
Available in Other Form
Print version: 9783319269931
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Table of Contents
Introduction
Non-Covex Region Characterization by Hyperplane Arrangements
Mixed-Integer Representations
Examples of Multi-Agent Control Problems
Conclusions.
Non-Covex Region Characterization by Hyperplane Arrangements
Mixed-Integer Representations
Examples of Multi-Agent Control Problems
Conclusions.