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Design of Robust Discrete‐Time Observer‐Based Repetitive‐Control System
Author(s) -
Zhou Lan,
She Jinhua,
Zhou Shaowu,
Wu Min
Publication year - 2014
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.718
Subject(s) - control theory (sociology) , observer (physics) , linear matrix inequality , discrete time and continuous time , singular value decomposition , repetitive control , robust control , matrix (chemical analysis) , mathematics , stability (learning theory) , computer science , control (management) , control system , mathematical optimization , engineering , algorithm , artificial intelligence , statistics , physics , materials science , quantum mechanics , machine learning , electrical engineering , composite material
This paper concerns the design of a robust discrete‐time observer‐based repetitive‐control system for a class of linear plants with periodic uncertainties. A discrete two‐dimensional model is built that partially uncouples the control and learning actions of a repetitive‐control system, enabling their preferential adjustment. The combination of a singular‐value decomposition of the output matrix and L yapunov stability theory is used to derive a linear‐matrix‐inequality‐based design algorithm that determines the control and state‐observer gains. A numerical example illustrates the main advantage of the method: easy, preferential adjustment of control and learning by means of two tuning parameters in an linear‐matrix‐inequality‐based condition.