Title
Parametrized Hyperplane Arrangements For Control Design With Collision Avoidance Constraints
Abstract
This paper concerns the problem of collision avoidance in a dynamical multi-obstacle environment. The design problem is commonly stated in the literature in terms of a receding-horizon constrained optimization problem over a non-convex domain. Preliminary results based on hyperplane arrangements lead to a mixed-integer formulation of the problem. This formalism is adequate for a static multiobstacle environment, but may be impractical in a dynamical context. Nevertheless, this shortcoming can be alleviated by considering an additional analysis step and by an appropriate proper choice of the representation of the environment in a time-varying framework. The present paper tackles this issue by using zonotopes and discussing their parametrization in a collision avoidance type of application.
Year
DOI
Venue
2019
10.1109/ICCA.2019.8899977
2019 IEEE 15TH INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION (ICCA)
Field
DocType
ISSN
Obstacle,Parametrization,Control theory,Collision,Hyperplane,Engineering,Formalism (philosophy),Constrained optimization problem
Conference
1948-3449
Citations 
PageRank 
References 
0
0.34
0
Authors
5
Name
Order
Citations
PageRank
Daniel Ioan100.34
Sorin Olaru226747.10
Ionela Prodan32610.02
Florin Stoican49515.86
Silviu-Iulian Niculescu500.68