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Mixed-integer representations in control design[electronic resource] :mathematical foundations and applications /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	629.8
書名/作者:	Mixed-integer representations in control design : mathematical foundations and applications // by Ionela Prodan ... [et al.].
其他作者:	Prodan, Ionela.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	xii, 107 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Engineering.
標題:	System theory.
標題:	Calculus of variations.
標題:	Automatic control.
標題:	Robotics.
標題:	Automation.
標題:	Control.
標題:	Systems Theory, Control.
標題:	Calculus of Variations and Optimal Control; Optimization.
標題:	Robotics and Automation.
ISBN:	9783319269955
ISBN:	9783319269931
內容註:	Introduction -- Non-Covex Region Characterization by Hyperplane Arrangements -- Mixed-Integer Representations -- Examples of Multi-Agent Control Problems -- Conclusions.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-26995-5

Mixed-integer representations in control design[electronic resource] :mathematical foundations and applications /
Mixed-integer representations in control designmathematical foundations and applications /[electronic resource] :by Ionela Prodan ... [et al.]. - Cham :Springer International Publishing :2016. - xii, 107 p. :ill., digital ;24 cm. - SpringerBriefs in electrical and computer engineering,2191-8112. - SpringerBriefs in electrical and computer engineering..

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.

ISBN: 9783319269955

Standard No.: 10.1007/978-3-319-26995-5doiSubjects--Topical Terms:

372756
Engineering.

LC Class. No.: QA402.3

Dewey Class. No.: 629.8

Mixed-integer representations in control design[electronic resource] :mathematical foundations and applications /
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