Mixed-Integer Representations in Control Design : Mathematical Foundations and Applications Paperback / softback
by Ionela Prodan, Florin Stoican, Sorin Olaru, Silviu-Iulian Niculescu
Part of the SpringerBriefs in Control, Automation and Robotics series
Paperback / softback
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.
Information
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Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:107 pages, 30 Illustrations, color; XII, 107 p. 30 illus. in color.
- Publisher:Springer International Publishing AG
- Publication Date:02/12/2015
- Category:
- ISBN:9783319269931
Other Formats
- PDF from £38.24
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:107 pages, 30 Illustrations, color; XII, 107 p. 30 illus. in color.
- Publisher:Springer International Publishing AG
- Publication Date:02/12/2015
- Category:
- ISBN:9783319269931
