Mixed-Integer Representations in Control Design : Mathematical Foundations and Applications
Prodan, Ionela
Mixed-Integer Representations in Control Design : Mathematical Foundations and Applications by Ionela Prodan, Florin Stoican, Sorin Olaru, Silviu-Iulian Niculescu - 1st ed. - Cham Springer International Publishing 2016 - 1 recurso en línea (XII, 107 p.) 30 ilustraciones col. - SpringerBriefs in Electrical and Computer Engineering 2191-8112 . - SpringerBriefs in Electrical and Computer Engineering .
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.
9783319269955
Análisis matemático
QA402.3 / .P763 2016 EB
Mixed-Integer Representations in Control Design : Mathematical Foundations and Applications by Ionela Prodan, Florin Stoican, Sorin Olaru, Silviu-Iulian Niculescu - 1st ed. - Cham Springer International Publishing 2016 - 1 recurso en línea (XII, 107 p.) 30 ilustraciones col. - SpringerBriefs in Electrical and Computer Engineering 2191-8112 . - SpringerBriefs in Electrical and Computer Engineering .
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.
9783319269955
Análisis matemático
QA402.3 / .P763 2016 EB