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Book synopsis

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.§§

Book details

Book category Books in English Technology, engineering, agriculture Electronics & communications engineering Electronics engineering

• Full title: Mixed-Integer Representations in Control Design
• Subtitle: Mathematical Foundations and Applications
• Author: Ionela Prodan, Florin Stoican, Sorin Olaru, Silviu-Iulian Niculescu
• Language: English
• Binding: Paperback
• Number of pages: 107
• EAN: 9783319269931
• ISBN: 3319269933
• ID: 02823862
• Publisher: Springer International Publishing AG
• Weight: 1942 g
• Dimensions: 235 × 155 × 235 mm
• Date of publishing: 25. November 2015

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