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Machine Intelligence Research

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01-08-2013

Design of a Discrete-time Output-feedback Based Repetitive-control System

Authors: Lan Zhou, Jin-Hua She, Min Wu

Published in: Machine Intelligence Research | Issue 4/2013

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Abstract

This paper deals with the problem of designing a robust discrete output-feedback based repetitive-control system for a class of linear plants with periodic uncertainties. The periodicity of the repetitive-control system is exploited to establish a two-dimensional (2D) model that converts the design problem into a robust stabilization problem for a discrete 2D system. By employing Lyapunov stability theory and the singular-value decomposition of the output matrix, a linear-matrix-inequality (LMI) based stability condition is derived. The condition can be used directly to design the gains of the repetitive controller. Two tuning parameters in the LMI enable the preferential adjustment of control and learning. A numerical example illustrates the design procedure and demonstrates the validity of the method.

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[1]

B. A. Francis, W. M. Wonham. The internal model principle for linear multivariable regulators. Applied Mathematics and Optimization, vol. 2, no.2, pp. 170–194, 1975.CrossRefMATHMathSciNet

[2]

T. Inoue, M. nakano, S. Iwai. High accuracy control of a proton synchrotron magnet power supply. In Proceedings of the 8th Internat Fedaration on Automatic Control, Kyoto, Japan, pp. 216–221,1981.

[3]

D. Li, J. M. Li. Adaptive iterative learning control for nonz linearly parameterized systems with unknown time-varying delay and unknown control direction. International Journal of Automation and Computing, vol. 9, no. 6, pp. 578–586, 2012.CrossRef

[4]

M. Tomizuka, T. C. Tsao, K. K. Chew. Analysis and synthesis of discrete-time repetitive controllers. Journal of Dynamic Systems, Measurement, and Control, vol. 111, no. 3, pp. 353–358, 1989.CrossRefMATH

[5]

J. Na, R. Costa-Castelló, R. Griñó, X. M. Ren. Discrete-time repetitive controller for time-delay systems with disturbance observer. Asian Journal of Control, vol. 14, no. 5, pp. 1340–1354, 2012.CrossRefMathSciNet

[6]

Y. D. Han, D. H. Owens, B. Chu. Discrete time linear optimal repetitive control - A low order controller scheme. In Proceedings of the 2nd International Conference on Computational Intelligence, Communication Systems and Networks, IEEE, Washington, DC, USA, pp. 238–243, 2010.

[7]

L. Zhou, J. She, M. Wu, J. Zhang. Design of robust modified repetitive-control system for linear periodic plants. Journal of Dynamic Systems, Measurement, and Control, vol. 134, no. 1, pp. 011023–1–7, 2012.CrossRef

[8]

M. Wu, L. Zhou, J. She. Design of observer-based H∞ robust repetitive-control system. IEEE Transactions on Automatic Control, vol. 56, no. 6, pp. 1452–1457, 2011.CrossRefMathSciNet

[9]

N. K. Bose. Multidimensional Systems Theory and Applications, The Netherlands: Kluwer Academic Publishers, 2003.MATH

[10]

J. Shi, F. R. Gao, T. J. Wu. Robust design of integrated feedback and iterative learning control of a batch process based on a 2D Roesser system. Journal of Process Control, vol. 15, no. 8, pp. 907–924, 2005.CrossRef

[11]

C. H. Fu, Y. He, M. Wu, S. G. Yuan. Guaranteed cost robust discrete repetitive control based on two-dimension model. In: Proceedings of the 29th Chinese Control Conference, IEEE, Beijing, China, pp. 2023–2028, 2010. (in Chinese)

[12]

S. G. Yuan. M. Wu, B. G. Xu, R. J. Liu. Design of discrete-time repetitive control system based on two-dimensional model. International Journal of Automation and Computing, vol. 9, no. 2, pp. 165–170, 2012.CrossRef

[13]

Y. Yamamoto. A function space approach to sampled data control systems and tracking problems. IEEE Transactions on Automatic Control, vol. 39, no. 4, pp. 703–713, 1994.CrossRefMATH

[14]

K. M. Zhou, J. C. Doyle, K. Glover. Robust and Optimal Control, Prentice Hall, pp. 32-35, 1996.

[15]

D. W. C. Ho, G. P. Lu. Robust stabilization for a class of discrete-time non-linear systems via output feedback: The unified LMI approach. International Journal of Control, vol. 76, no. 2, pp. 105–115, 2003.CrossRefMATHMathSciNet

[16]

P. P. Khargonek, I. R. Petersen, K. M. Zhou. Robust stabilization of uncertain linear systems: Quadratic stabiliz-ability and H∞ control theory. IEEE Transactions on Automatic Control, vol.35, no. 3, pp. 356–361, 1990.CrossRef

[17]

V. A. Yakubovich. S-procedure in Nonlinear Control Theory, Vestnik Leningrad University, vol. 1, pp. 62–77, 1971.

[18]

G. Balas, R. Chiang, A. Packard, M. Safonov. Robust Control Toolbox-User’ Guide, 3. MA: The MathWorks, Inc, 2005.

Title: Design of a Discrete-time Output-feedback Based Repetitive-control System
Authors: Lan Zhou
Jin-Hua She
Min Wu
Publication date: 01-08-2013
Publisher: Springer-Verlag
Published in: Machine Intelligence Research / Issue 4/2013
Print ISSN: 2731-538X
Electronic ISSN: 2731-5398
DOI: https://doi.org/10.1007/s11633-013-0730-0

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