Open AccessSignal‐to‐noise ratio constrained feedback control: discrete‐time robust stability analysis
Author(s) -
Rojas Alejandro J.,
Garcés Hugo O.
Publication year - 2019
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2018.5007
Subject(s) - control theory (sociology) , channel (broadcasting) , discretization , noise (video) , stability (learning theory) , discrete time and continuous time , computer science , signal (programming language) , feedback loop , control (management) , mathematics , telecommunications , artificial intelligence , mathematical analysis , statistics , computer security , machine learning , image (mathematics) , programming language
The explicit consideration of a communication channel model in a feedback control loop is known to introduce a fundamental limitation on the feedback control loop stabilisability in the form of a channel signal‐to‐noise ratio lower bound whenever the plant model is unstable. In this study, the authors study these type of limitations subject to model uncertainties, either from the plant model or the channel model. They consider the discrete‐time setting, motivated first by the fact that some form of discretisation is nowadays always required when implementing a feedback control loop solution, and second by the fact that communication channel models are more naturally represented in discrete time. In particular, they consider here the additive coloured noise channel with memory.