Prototypical Description and Controller Design for a Set of Systems Using v-gap Based Clustering
Abstract
We present an approach to design stabilizing controllers for a set of linear systems without restrictions regarding their modeling order. To this end, the systems are treated as abstract objects in the space of the -gap metric. Via a cluster analysis the set of systems is split into v-gap similar clusters which are treated separately. For this purpose we provide an algorithm that constructs an explicit prototype system by generalizing the information of a given set of systems. Applying this algorithm to each cluster a set of prototype systems is obtained. Given these prototypes we design controllers in such a way that all systems assigned to a cluster will be stabilized by a corresponding controller. The approach is demonstrated for a set of 80 linear systems.
Cite
@article{arxiv.2007.07541,
title = {Prototypical Description and Controller Design for a Set of Systems Using v-gap Based Clustering},
author = {Lukas Munser and Arne-Jens Hempel and Grigory Devadze and Stefan Streif},
journal= {arXiv preprint arXiv:2007.07541},
year = {2020}
}
Comments
Accepted for publication at the IFAC WC 2020