Mixed-Integer Representations in Control Design

Mathematical Foundations and Applications

von Ionela Prodan, Florin Stoican, Sorin Olaru, Silviu-Iulian Niculescu

107 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: SpringerBriefs in Control, Automation and Robotics
• Themen: Technologie, Ingenieurswissenschaft, Landwirtschaft, Industrieprozesse Elektronik, Nachrichtentechnik Elektronik Regelungstechnik
• ISBN: 9783319269931
• Sprache: Englisch
• Erscheinungsdatum: 02.12.2015
• Größe: 23.5 x 15.5 cm
• Verlag: Springer International Publishing