Mixed-Integer Representations in Control Design

Mathematical Foundations and Applications

Nonfiction, Science & Nature, Science, Other Sciences, System Theory, Technology, Automation
Cover of the book Mixed-Integer Representations in Control Design by Silviu-Iulian Niculescu, Florin Stoican, Sorin Olaru, Ionela Prodan, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Silviu-Iulian Niculescu, Florin Stoican, Sorin Olaru, Ionela Prodan ISBN: 9783319269955
Publisher: Springer International Publishing Publication: November 25, 2015
Imprint: Springer Language: English
Author: Silviu-Iulian Niculescu, Florin Stoican, Sorin Olaru, Ionela Prodan
ISBN: 9783319269955
Publisher: Springer International Publishing
Publication: November 25, 2015
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Future Network Systems and Security by Silviu-Iulian Niculescu, Florin Stoican, Sorin Olaru, Ionela Prodan
Cover of the book Democratic Transition and the Rise of Populist Majoritarianism by Silviu-Iulian Niculescu, Florin Stoican, Sorin Olaru, Ionela Prodan
Cover of the book Complex Systems Design & Management by Silviu-Iulian Niculescu, Florin Stoican, Sorin Olaru, Ionela Prodan
Cover of the book Non-technological Innovations for Sustainable Transport by Silviu-Iulian Niculescu, Florin Stoican, Sorin Olaru, Ionela Prodan
Cover of the book Persuasive Technology by Silviu-Iulian Niculescu, Florin Stoican, Sorin Olaru, Ionela Prodan
Cover of the book Participant Empowerment Through Photo-elicitation in Ethnographic Education Research by Silviu-Iulian Niculescu, Florin Stoican, Sorin Olaru, Ionela Prodan
Cover of the book Veterinary Forensic Pathology, Volume 1 by Silviu-Iulian Niculescu, Florin Stoican, Sorin Olaru, Ionela Prodan
Cover of the book Enterprise, Business-Process and Information Systems Modeling by Silviu-Iulian Niculescu, Florin Stoican, Sorin Olaru, Ionela Prodan
Cover of the book Private Sector Development in West Africa by Silviu-Iulian Niculescu, Florin Stoican, Sorin Olaru, Ionela Prodan
Cover of the book On the Move to Meaningful Internet Systems. OTM 2017 Conferences by Silviu-Iulian Niculescu, Florin Stoican, Sorin Olaru, Ionela Prodan
Cover of the book Constructive Side-Channel Analysis and Secure Design by Silviu-Iulian Niculescu, Florin Stoican, Sorin Olaru, Ionela Prodan
Cover of the book Communication Technologies, Information Security and Sustainable Development by Silviu-Iulian Niculescu, Florin Stoican, Sorin Olaru, Ionela Prodan
Cover of the book Nonlinear Systems, Vol. 1 by Silviu-Iulian Niculescu, Florin Stoican, Sorin Olaru, Ionela Prodan
Cover of the book The Basics of Item Response Theory Using R by Silviu-Iulian Niculescu, Florin Stoican, Sorin Olaru, Ionela Prodan
Cover of the book Physically Unclonable Functions by Silviu-Iulian Niculescu, Florin Stoican, Sorin Olaru, Ionela Prodan
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy