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ISA Trans. 2013 May;52(3):375-82. doi: 10.1016/j.isatra.2013.01.002. Epub 2013 Feb 11.

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

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  • 1School of Information Science and Engineering, Central South University, Changsha 410083, China.


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.

Copyright © 2013 ISA. Published by Elsevier Ltd. All rights reserved.

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