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Mixed-Integer Representations in Control Design
Mathematical Foundations and Applications
Ionela Prodan, Florin Stoican, Sorin Olaru, Silviu-Iulian Niculescu
Livre broché | Anglais | SpringerBriefs in Electrical and Computer Engineering | SpringerBriefs in Control, Automation and Robotics
52,95 €
+ 105 points
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.
Spécifications
Parties prenantes
- Auteur(s) :
- Editeur:
Contenu
- Nombre de pages :
- 107
- Langue:
- Anglais
- Collection :
Caractéristiques
- EAN:
- 9783319269931
- Date de parution :
- 02-12-15
- Format:
- Livre broché
- Format numérique:
- Trade paperback (VS)
- Dimensions :
- 156 mm x 234 mm
- Poids :
- 176 g
