Mixed-integer representations in control design : mathematical foundations and applications / / by Ionela Prodan, Florin Stoican, Sorin Olaru, Silviu-Iulian Niculescu

• Autore: Prodan Ionela
• Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016
• Edizione: 1st ed. 2016.
• Descrizione fisica: 1 online resource (115 p.)
• Disciplina: 629.8312
• Soggetto topico: Automatic control; System theory; Calculus of variations; Robotics; Automation; Control and Systems Theory; Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization; Robotics and Automation
• Persona (resp. second.): StoicanFlorin; OlaruSorin; NiculescuSilviu-Iulian
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references at the end of each chapters and index.
• Nota di contenuto: Introduction -- Non-Covex Region Characterization by Hyperplane Arrangements -- Mixed-Integer Representations -- Examples of Multi-Agent Control Problems -- Conclusions.
• Sommario/riassunto: 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.
• Titolo autorizzato: Mixed-Integer Representations in Control Design
• ISBN: 3-319-26995-X
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910254202103321
• Lo trovi qui: Univ. Federico II
• Serie: SpringerBriefs in Control, Automation and Robotics, . 2192-6786