4.7 Article

Design of a robust observer-based modified repetitive-control system

Journal

ISA TRANSACTIONS
Volume 52, Issue 3, Pages 375-382

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.isatra.2013.01.002

Keywords

Repetitive control; State-observer; Two-dimensional system; Linear matrix inequality (LMI); Robust stability

Funding

  1. National Natural Science Foundation of China [61203010, 61210011]
  2. Hunan Natural Science Foundation [11JJ4059]
  3. Scientific Research Fund of Hunan Provincial Education Department [12B044]

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This paper concerns the design of a robust observer-based modified repetitive-control system for a class of strictly proper plants with periodic time-varying uncertainties. It exploits the inherent structure characteristics of repetitive control to convert the design problem to a robust stabilization problem for a continuous-discrete two-dimensional system. The singular-value decomposition and Lyapunov stability theory are used to derive a linear-matrix-inequality-based design algorithm for the parameters of control and state-observer gains. Two tuning parameters are introduced to perform the preferential adjustment of control and learning. A numerical example illustrates the adjusting procedure and demonstrates the validity of the method. (C) 2013 ISA. Published by Elsevier Ltd. All rights reserved.

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