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Mixed-Integer Representations in Control Design

- Mathematical Foundations and Applications
Af: Sorin Olaru, Florin Stoican, Silviu-Iulian Niculescu, Ionela Prodan Engelsk Paperback

Mixed-Integer Representations in Control Design

- Mathematical Foundations and Applications
Af: Sorin Olaru, Florin Stoican, Silviu-Iulian Niculescu, Ionela Prodan Engelsk Paperback
Tjek vores konkurrenters priser

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.

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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.

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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 107
ISBN-13: 9783319269931
Indbinding: Paperback
Udgave:
ISBN-10: 3319269933
Kategori: Kybernetik og systemteori
Udg. Dato: 2 dec 2015
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer International Publishing AG
Oplagsdato: 2 dec 2015
Forfatter(e): Sorin Olaru, Florin Stoican, Silviu-Iulian Niculescu, Ionela Prodan
Forfatter(e) Sorin Olaru, Florin Stoican, Silviu-Iulian Niculescu, Ionela Prodan

Kategori Kybernetik og systemteori

ISBN-13 9783319269931

Sprog Engelsk

Indbinding Paperback

Sider 107

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 2 dec 2015

Oplagsdato 2 dec 2015

Forlag Springer International Publishing AG

Kategori sammenhænge