- Springer
Mixed-Integer Representations in Control Design: Mathematical Foundations and Applications
Key Metrics
- Ionela Prodan
- Springer
- Paperback
- 9783319269931
- 9.21 X 6.14 X 0.25 inches
- 0.39 pounds
- Technology & Engineering > Automation
- English
Book 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.
Videos
No Videos
Community reviews
Write a ReviewNo Community reviews