9783319269931 - SpringerBriefs in Electrical and Computer Engineering Mixed-Integer Representations in Control Design - Ionela Prodan Florin Stoican Sorin Olaru Silviu-Iulian Niculescu Kartoniert (TB)

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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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23.03.2025 um 14:51 Uhr

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