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作者 Prodan, Ionela, author
書名 Mixed-integer representations in control design : mathematical foundations and applications / by Ionela Prodan, Florin Stoican, Sorin Olaru, Silviu-Iulian Niculescu
出版項 Cham : Springer International Publishing : Imprint: Springer, 2016
國際標準書號 9783319269955 (electronic bk.)
9783319269931 (paper)
國際標準號碼 10.1007/978-3-319-26995-5 doi
book jacket
說明 1 online resource (xii, 107 pages) : illustrations, digital ; 24 cm
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
系列 SpringerBriefs in electrical and computer engineering, 2191-8112
SpringerBriefs in electrical and computer engineering
附註 Introduction -- Non-Covex Region Characterization by Hyperplane Arrangements -- Mixed-Integer Representations -- Examples of Multi-Agent Control Problems -- Conclusions
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
Host Item Springer eBooks
主題 Engineering
System theory
Calculus of variations
Automatic control
Systems Theory, Control
Calculus of Variations and Optimal Control; Optimization
Robotics and Automation
Alt Author Stoican, Florin, author
Olaru, Sorin, author
Niculescu, Silviu-Iulian, author
SpringerLink (Online service)
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