Mixed-Integer Representations in Control Design Mathematical Foundations and Applications
tarafından
Prodan, Ionela. author.
Başlık
:
Mixed-Integer Representations in Control Design Mathematical Foundations and Applications
Yazar
:
Prodan, Ionela. author.
ISBN
:
9783319269955
Yazar
:
Prodan, Ionela. author.
Edisyon
:
1st ed. 2016.
Fiziksel Niteleme
:
XII, 107 p. 30 illus. in color. online resource.
Seri
:
SpringerBriefs in Electrical and Computer Engineering,
İçindekiler
:
Introduction -- Non-Covex Region Characterization by Hyperplane Arrangements -- Mixed-Integer Representations -- Examples of Multi-Agent Control Problems -- Conclusions.
Özet
:
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.
Konu Başlığı
:
Engineering.
System theory.
Calculus of variations.
Control engineering.
Robotics.
Automation.
Control.
Systems Theory, Control.
Calculus of Variations and Optimal Control; Optimization.
Robotics and Automation.
Yazar Ek Girişi
:
Stoican, Florin.
Olaru, Sorin.
Niculescu, Silviu-Iulian.
Ek Kurum Yazar
:
SpringerLink (Online service)
Elektronik Erişim
:
Materyal Türü | Barkod | Yer Numarası | Durumu/İade Tarihi |
---|
Electronic Book | 17116-1001 | TJ212 -225 | Springer E-Book Collection |