Open AccessDigital Repetitive Control under Nonuniform Sampling: An LMI Stability Analysis
Author(s) -
Germán A. Ramos,
Josep M. Olm,
Ramon CostaCastelló
Publication year - 2011
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2011/120570
Subject(s) - repetitive control , control theory (sociology) , sampling (signal processing) , sampled data systems , controller (irrigation) , stability (learning theory) , digital control , tracking (education) , disturbance (geology) , computer science , control (management) , mathematics , engineering , control system , electronic engineering , telecommunications , artificial intelligence , psychology , agronomy , pedagogy , paleontology , machine learning , detector , electrical engineering , biology
Digital repetitive control is a technique which allows tracking periodic references and/or rejecting periodic disturbances. Repetitive controllers are usually designed assuming a fixed fundamental frequency for the signals to be tracked/rejected and its main drawback being a dramatic performance decay when this frequency varies. A usual approach to overcome the problem consists of an adaptive change of the sampling period according to the reference/disturbance period variation. This paper presents a stability analysis of a digital repetitive controller working under time-varying sampling period by means of an LMI gridding approach. Theoretical developments are illustrated with experimental results, which are preceded by a detailed description of fundamental issues related to the implementation procedure
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