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portada Mixed-Integer Representations in Control Design: Mathematical Foundations and Applications
Type
Physical Book
Publisher
Language
English
Pages
107
Format
Paperback
Dimensions
23.4x15.6x0.6 cm
Weight
0.18 kg.
ISBN13
9783319269931

Mixed-Integer Representations in Control Design: Mathematical Foundations and Applications

Sorin Olaru (Author) · Florin Stoican (Author) · Ionela Prodan (Author) · Springer · Paperback

Mixed-Integer Representations in Control Design: Mathematical Foundations and Applications - Prodan, Ionela ; Stoican, Florin ; Olaru, Sorin

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Synopsis "Mixed-Integer Representations in Control Design: Mathematical Foundations and Applications"

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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