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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.
Produkteigenschaften
- Artikelnummer: 9783319269931
- Medium: Buch
- ISBN: 978-3-319-26993-1
- Verlag: Palgrave Macmillan
- Erscheinungstermin: 02.12.2015
- Sprache(n): Englisch
- Auflage: 1. Auflage 2016
- Serie: SpringerBriefs in Electrical and Computer Engineering
- Produktform: Kartoniert, Paperback
- Gewicht: 1942 g
- Seiten: 107
- Format (B x H x T): 155 x 235 x 7 mm
- Ausgabetyp: Kein, Unbekannt
Themen
- Technische Wissenschaften
- Elektronik | Nachrichtentechnik
- Nachrichten- und Kommunikationstechnik
- Regelungstechnik
- Mathematik | Informatik
- Mathematik
- Numerik und Wissenschaftliches Rechnen
- Angewandte Mathematik, Mathematische Modelle
- Technische Wissenschaften
- Elektronik | Nachrichtentechnik
- Nachrichten- und Kommunikationstechnik
- Regelungstechnik