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Mixed-Integer Representations in Control Design = Mathematical Foundations and Applications /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Mixed-Integer Representations in Control Design/ by Ionela Prodan, Florin Stoican, Sorin Olaru, Silviu-Iulian Niculescu.
Reminder of title:	Mathematical Foundations and Applications /
Author:	Prodan, Ionela.
other author:	Stoican, Florin.
Description:	XII, 107 p. 30 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Control engineering. -
Online resource:	https://doi.org/10.1007/978-3-319-26995-5
ISBN:	9783319269955

Mixed-Integer Representations in Control Design = Mathematical Foundations and Applications /
Prodan, Ionela.

Mixed-Integer Representations in Control DesignMathematical Foundations and Applications /[electronic resource] :by Ionela Prodan, Florin Stoican, Sorin Olaru, Silviu-Iulian Niculescu. - 1st ed. 2016. - XII, 107 p. 30 illus. in color.online resource. - SpringerBriefs in Control, Automation and Robotics,2192-6786. - SpringerBriefs in Control, Automation and Robotics,.

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

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.

ISBN: 9783319269955

Standard No.: 10.1007/978-3-319-26995-5doiSubjects--Topical Terms:

1249728
Control engineering.

LC Class. No.: TJ212-225

Dewey Class. No.: 629.8

Mixed-Integer Representations in Control Design = Mathematical Foundations and Applications /
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