| Description |
1 online resource (xii, 107 pages) : illustrations (some color) |
| Series |
SpringerBriefs in Electrical and Computer Engineering, 2191-8120 Control, Automation and Robotics, 2192-6794 |
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SpringerBriefs in electrical and computer engineering, 2191-8112
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SpringerBriefs in electrical and computer engineering. Control, automation and robotics. 2192-6786
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| Contents |
1. Introduction -- 2. Non-convex Region Description by Hyperplane Arrangements -- 3. Mixed-Integer Representations -- 4. Control Problems Involving Mixed-Integer Decision Making -- 5. Conclusions -- Appendix. Numerical Data for Illustrative Examples |
| Summary |
"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."--Publisher's description |
| Bibliography |
Includes bibliographical references and index |
| Notes |
English |
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Online resource and print version record; title from PDF title page (SpringerLink, viewed March 13, 2017) |
| Subject |
Control theory.
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Calculus of variations.
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Automatic control.
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System theory.
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Robotics.
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Systems Theory
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Robotics
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TECHNOLOGY & ENGINEERING -- Engineering (General)
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Control theory
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Calculus of variations
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Automatic control
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System theory
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Robotics
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| Genre/Form |
dictionaries.
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Dictionaries
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Dictionaries.
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Dictionnaires.
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| Form |
Electronic book
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| Author |
Stoican, Florin, author
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Olaru, Sorin, author
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Niculescu, Silviu-Iulian, author
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| ISBN |
9783319269955 |
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331926995X |
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