Mixed-Integer Representations in Control Design
Prodan, Ionela, Stoican, Florin, Olaru, Sorin, Niculescu, Silviu-Iulian
Produktnummer:
186fadd72c48b8431a8e7deed66d405f33
Autor: | Niculescu, Silviu-Iulian Olaru, Sorin Prodan, Ionela Stoican, Florin |
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Themengebiete: | Hyperplane Arrangements Mixed-integer Programming Non-convex Constraints Optimization-based Control Design Set Theory |
Veröffentlichungsdatum: | 02.12.2015 |
EAN: | 9783319269931 |
Sprache: | Englisch |
Seitenzahl: | 107 |
Produktart: | Kartoniert / Broschiert |
Verlag: | Springer International Publishing |
Untertitel: | Mathematical Foundations and Applications |
Produktinformationen "Mixed-Integer Representations in Control Design"
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.

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