[DOWNLOAD] "Mixed-Integer Representations in Control Design" by Ionela Prodan, Florin Stoican, Sorin Olaru & Silviu-Iulian Niculescu # eBook PDF Kindle ePub Free

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eBook details

• Title: Mixed-Integer Representations in Control Design
• Author : Ionela Prodan, Florin Stoican, Sorin Olaru & Silviu-Iulian Niculescu
• Release Date : January 25, 2015
• Genre: Engineering,Books,Professional & Technical,Science & Nature,Mathematics,
• Pages : * pages
• Size : 2853 KB

Description

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.

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