A One-step Approach to Computing a Polytopic Robust Positively Invariant Set
Systems and Control
2016-07-22 v3 Optimization and Control
Abstract
A procedure and theoretical results are presented for the problem of determining a minimal robust positively invariant (RPI) set for a linear discrete-time system subject to unknown, bounded disturbances. The procedure computes, via the solving of a single LP, a polytopic RPI set that is minimal with respect to the family of RPI sets generated from a finite number of inequalities with pre-defined normal vectors.
Cite
@article{arxiv.1504.06488,
title = {A One-step Approach to Computing a Polytopic Robust Positively Invariant Set},
author = {Paul Trodden},
journal= {arXiv preprint arXiv:1504.06488},
year = {2016}
}
Comments
Accepted by IEEE Transactions on Automatic Control [Accepted version; corrected]