Stability Analysis for Nonlinear Weakly Hard Real-Time Control Systems
Abstract
This paper considers the stability analysis for nonlinear sampled-data systems with failures in the feedback loop. The failures are caused by shared resources, and modeled by a weakly hard real-time (WHRT) dropout description. The WHRT dropout description restricts the considered dropout sequences with a non-probabilistic, window based constraint, that originates from schedulability analysis. The proposed approach is based on the emulation of a controller for the nonlinear sampled-data system from a continuous-time feedback. The emulation technique is extended and combined with non-monotonic Lyapunov functions and a graph description for the WHRT constraints to guarantee asymptotic stability. The effectiveness of the proposed approach is illustrated with a numerical example from literature. This paper is the accepted version of Hertneck et al. (2020), containing also proofs of the main results.
Cite
@article{arxiv.2005.01345,
title = {Stability Analysis for Nonlinear Weakly Hard Real-Time Control Systems},
author = {Michael Hertneck and Steffen Linsenmayer and Frank Allgöwer},
journal= {arXiv preprint arXiv:2005.01345},
year = {2020}
}
Comments
Added missing part of incomplete sentence in the introduction of V1, accepted for 21st IFAC World Congress