Mixed-integer representations in control design mathematical foundations and applications

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1. Verfasser: Prodan, Ionela (VerfasserIn)
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Sprache:English
Veröffentlicht: [Cham] Springer [2016]
Schriftenreihe:SpringerBriefs in electrical and computer engineering : Control, automation and robotics
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Datensatz im Suchindex

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adam_text MIXED-INTEGER REPRESENTATIONS IN CONTROL DESIGN / PRODAN, IONELA : 2016 TABLE OF CONTENTS / INHALTSVERZEICHNIS INTRODUCTION NON-COVEX REGION CHARACTERIZATION BY HYPERPLANE ARRANGEMENTS MIXED-INTEGER REPRESENTATIONS EXAMPLES OF MULTI-AGENT CONTROL PROBLEMS CONCLUSIONS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. MIXED-INTEGER REPRESENTATIONS IN CONTROL DESIGN / PRODAN, IONELA : 2016 ABSTRACT / INHALTSTEXT 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 DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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series2 SpringerBriefs in electrical and computer engineering : Control, automation and robotics
spellingShingle Prodan, Ionela
Mixed-integer representations in control design mathematical foundations and applications
Engineering
System theory
Calculus of variations
Control engineering
Robotics
Automation
Control
Systems Theory, Control
Calculus of Variations and Optimal Control; Optimization
Robotics and Automation
Ingenieurwissenschaften
title Mixed-integer representations in control design mathematical foundations and applications
title_auth Mixed-integer representations in control design mathematical foundations and applications
title_exact_search Mixed-integer representations in control design mathematical foundations and applications
title_full Mixed-integer representations in control design mathematical foundations and applications Ionela Prodan, Florin Stoican, Sorin Olaru, Silviu-Iulian Niculescu
title_fullStr Mixed-integer representations in control design mathematical foundations and applications Ionela Prodan, Florin Stoican, Sorin Olaru, Silviu-Iulian Niculescu
title_full_unstemmed Mixed-integer representations in control design mathematical foundations and applications Ionela Prodan, Florin Stoican, Sorin Olaru, Silviu-Iulian Niculescu
title_short Mixed-integer representations in control design
title_sort mixed integer representations in control design mathematical foundations and applications
title_sub mathematical foundations and applications
topic Engineering
System theory
Calculus of variations
Control engineering
Robotics
Automation
Control
Systems Theory, Control
Calculus of Variations and Optimal Control; Optimization
Robotics and Automation
Ingenieurwissenschaften
topic_facet Engineering
System theory
Calculus of variations
Control engineering
Robotics
Automation
Control
Systems Theory, Control
Calculus of Variations and Optimal Control; Optimization
Robotics and Automation
Ingenieurwissenschaften
url https://doi.org/10.1007/978-3-319-26995-5
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