Mixed-Integer Representations in Control Design - Prodan, Ionela; Stoican, Florin; Olaru, Sorin; - Prospero Internet Bookshop

Mixed-Integer Representations in Control Design: Mathematical Foundations and Applications
 
Product details:

ISBN13:9783319269931
ISBN10:3319269933
Binding:Paperback
No. of pages:107 pages
Size:235x155 mm
Weight:1942 g
Language:English
Illustrations: 30 Illustrations, color
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Mixed-Integer Representations in Control Design

Mathematical Foundations and Applications
 
Edition number: 1st ed. 2016
Publisher: Springer
Date of Publication:
Number of Volumes: 1 pieces, Book
 
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EUR 53.49
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Long description:

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 auseful 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.

Table of Contents:
Introduction.- Non-Covex Region Characterization by Hyperplane Arrangements.- Mixed-Integer Representations.- Examples of Multi-Agent Control Problems.- Conclusions.