Mixed-Integer Representations in Control Design: Mathematical Foundations and Applications (SpringerBriefs in Electrical and Computer Engineering)
ISBN-13:
9783319269931
ISBN-10:
3319269933
Edition:
1st ed. 2016
Author:
Silviu-Iulian Niculescu, Ionela Prodan, Florin Stoican, Sorin Olaru
Publication date:
2015
Publisher:
Springer
Format:
Paperback
119 pages
FREE US shipping
Book details
ISBN-13:
9783319269931
ISBN-10:
3319269933
Edition:
1st ed. 2016
Author:
Silviu-Iulian Niculescu, Ionela Prodan, Florin Stoican, Sorin Olaru
Publication date:
2015
Publisher:
Springer
Format:
Paperback
119 pages
Summary
Mixed-Integer Representations in Control Design: Mathematical Foundations and Applications (SpringerBriefs in Electrical and Computer Engineering) (ISBN-13: 9783319269931 and ISBN-10: 3319269933), written by authors
Silviu-Iulian Niculescu, Ionela Prodan, Florin Stoican, Sorin Olaru, was published by Springer in 2015.
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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 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.
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