A Design Method for Modified Smith Predictive Control System to Attenuate Periodic Disturbances

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Kou Yamada
Nghia Thi Mai
Takaaki Hagiwara
Iwanori Murakami
Tatsuya Hoshikawa

Abstract

The modified Smith predictor is well known as an effective time-delay compensator for a plant with large time-delays, and several papers on the modified Smith predictor have been published. Recently, the parameterization of all stabilizing modified Smith predictors for minimum-phase time-delay plants is obtained by Yamada and Matsushima. In addition, Yamada et al. expanded the result by Yamada and Matsushima and proposed the parameterization of all stabilizing modi¯ed Smith predictors for non-minimum-phase time-delay plants. However, they do not examine a design method for modified Smith predictive control system using the parameterization of all stabilizing modified Smith predictors to achieve desirable control specification. In this paper, we propose a design method for modified Smith predictive control system to attenuate periodic disturbances that often appear real time-delay plants using the parameterization of all stabilizing modified Smith predictors.

Article Details

How to Cite
Yamada, K., Mai, N. T., Hagiwara, T., Murakami, I., & Hoshikawa, T. (2010). A Design Method for Modified Smith Predictive Control System to Attenuate Periodic Disturbances. ECTI Transactions on Electrical Engineering, Electronics, and Communications, 9(1), 142–149. https://doi.org/10.37936/ecti-eec.201191.172464
Section
Research Article

References

[1] O.J.M. Smith, "A controller to overcome deadtime", ISA Journal, Vol.6, pp.28-33, 1959.

[2] S. Sawano, "Analog study of process-model control systems", Journal of the Society of Instrument and Control Engineers, Vol.1, pp.198-203, 1962.

[3] C.C. Hang and F.S. Wong, "Modi¯ed Smith predictors for the control of processes with dead time", Proc. ISA Annual Conf., pp.33-44, 1979.

[4] K. Watanabe and M. Ito, "A process-model control for linear systems with delay", IEEE Transactions on Automatic Control, Vol.26, pp.1261-1266, 1981.

[5] K. Watanabe and M. Sato, "A process-model control for multivariable systems with multiple delays in inputs and outputs subject to unmeasurable disturbances", International Journal ofontrol, Vol.39, pp.1-17, 1984.

[6] A.M. De Paor, "A modified Smith predictor and controller for unstable processes with time delay", International Journal of Control, Vol.41, pp.1025, 1985.

[7] P.B. Despande and R.H. Ash, "Computer process control", ISA Pub ., 1988.

[8] A.M. De Paor and R.P.K. Egan, "Extension and partial optimization of a modified Smith predictor and controller for unstable processes with time delay", International Journal of Control, Vol.50, pp.1315, 1989.

[9] K.J. Astrom, C.C. Hang and B.C. Lim, "A new Smith predictor for controlling a process with an integrator and long dead-time", IEEE Transactions on Automatic Control, Vol.39, pp.343-345, 1994.

[10] M.R. Matusek and A.D. Micic, "A modified Smith predictor for controlling a process with an integrator and long dead-time", IEEE Transactions on Automatic Control, Vol.41, pp.1199-1203, 1996.

[11] K. Watanabe, "A new modi¯ed Smith predictor control for time-delay systems with an integrator", Proceedings of the 2nd Asian Control Conference, pp.127-130, 1997.

[12] H.J. Kwak, S.W. Sung, I.B. Lee and J.Y. Park, "A modi¯ed Smith predictor with a new structure for unstable processes", Ind. Eng. Chem. Res., Vol.38, pp.405-411, 1999.

[13] S. Levine, "The control handbook", CRC Press, 1996.

[14] G. Zames, "Feedback and optimal sensitivity: model reference transformations, multiplicative seminorms and approximate inverse", IEEE Transactions on Automatic Control, Vol.26, pp.301-320, 1981.

[15] D.C. Youla, H. Jabr and J.J. Bongiorno, "Modern Wiener-Hopf design of optimal controllers. Part I", IEEE Transactions on Automatic Control, Vol.21, pp.3-13, 1976.

[16] C.A. Desoer, R.W. Liu, J. Murray and R. Saeks, "Feedback system design: The fractional representation approach to analysis and synthesis", IEEE Transactions on Automatic Control, Vol.25, pp.399-412, 1980.

[17] M. Vidyasagar, "Control System Synthesis-A factorization approach", MIT Press, 1985.

[18] M. Morari and E. Za¯riou, "Robust Process Control", Prentice-Hall, 1989.

[19] J.J. Glaria and G.C. Goodwin, "A parameterization for the class of all stabilizing controllers for linear minimum phase systems", IEEE Transactions on Automatic Control, Vol.39, pp.433-434, 1994.

[20] K. Yamada, "A parameterization for the class of all proper stabilizing controllers for linear minimum phase systems", Preprints of the 9th IFAC/IFORS/IMACS/IFIP/ Symposium on Large Scale Systems: Theory and Applications, pp.578-583, 2001.

[21] E. Nobuyama and T. Kitamori, "Spectrum assignment and parameterization of all stabilizing compensators for time-delay systems", Proceedings of the 29th Conference on Decision and Control, Honolulu, Hawaii, pp.3629-3634, 1990.

[22] E. Nobuyama and T. Kitamori, "Parameterization of all stabilizing compensators in time-delay systems", Transactions of the Society of Instrument and Control Engineers, Vol.27, pp.1115-1122, 1991.

[23] K. Yamada and N. Matsushima, "A design method for Smith predictor for minimum-phase time-delay plants", Proceedings of The 2005 Electrical Engineering/Electronics, Computer, Telecommunication, and Information Technology (ECTI) International Conference, vol.I of II, pp.347-350, 2005.

[24] K. Yamada and N. Matsushima, "A design method for Smith predictors for minimum-phase time-delay plants", ECTI Transactions on Computer and Information Technology, vol.2, no.2, pp.100-107, 2005.

[25] K. Yamada, H. Takenaga, T. Hagiwara, Y. Ando and I. Murakami, "A design method for stabilizing modi¯ed Smith predictor for non-minimum-phase time-delay plants", submitted for publication.

[26] K. Yamada and W. Kinoshita, "New state space design method of stable ¯ltered inverse systems and their application", Transactions of the Institute of Systems, Control and Information Engineers, Vol.16, No.2, pp.85-93, 2003.