| 书目名称 | Mixed-Integer Representations in Control Design | | 副标题 | Mathematical Foundat | | 编辑 | Ionela Prodan,Florin Stoican,Silviu-Iulian Nicules | | 视频video | | | 概述 | Gives readers a unified treatment of mathematical features encountered in important engineering problems.Provides multiple illustrations of key mathematical constructions.Details analysis of existing | | 丛书名称 | SpringerBriefs in Electrical and Computer Engineering | | 图书封面 |  | | 描述 | .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.. | | 出版日期 | Book 2016 | | 关键词 | Hyperplane Arrangements; Mixed-integer Programming; Non-convex Constraints; Optimization-based Control | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-26995-5 | | isbn_softcover | 978-3-319-26993-1 | | isbn_ebook | 978-3-319-26995-5Series ISSN 2191-8112 Series E-ISSN 2191-8120 | | issn_series | 2191-8112 | | copyright | The Author(s) 2016 |
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发表于 2025-3-21 18:10:53
