A Design Method for Control System to Attenuate Periodic Input Disturbances Using Disturbance Observers for Time-Delay Plants
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Abstract
In this paper, we examine a design method for control system to attenuate periodic input disturbances using disturbance observers for time-delay plants. The disturbance observers have been used to estimate the disturbance in the plant. Several papers on design methods of disturbance observers have been published. Recently, parameterizations of all disturbance observers and all linear functional disturbance observers for time-delay plants with any input disturbance were clarified. If parameterizations of all such observers for time-delay plants with any input disturbance are used, there is a possibility that we can design control systems to attenuate input dis- turbances effectively. However, no paper examines a design method for control system using parameterizations of all disturbance observers and all linear functional disturbance observers for time-delay plants with any input disturbance. In this paper, to attenuate periodic input disturbances effectively, we propose a design method for control system using these parameterizations.
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References
[2] S. Komada and K. Ohnishi, Force feedback control of robot manipulator by the acceleration tracing orientation method, IEEE Transactions on Industrial Electronics, Vol.37, No.1, pp.6-12, 1990.
[3] T. Umeno and Y. Hori, Robust speed control of DC servomotors using modern two degreesof-freedom controller design, IEEE Transactions on Industrial Electronics, Vol.38, No.5, pp.363-368, 1991.
[4] M. Tomizuka, On the design of digital tracking controllers, Transactions of the ASME Journal of Dynamic Systems, Measurement, and Control, Vol.115, pp.412-418, 1993.
[5] K. Ohnishi, M. Shibata and T. Murakami, Motion control for advanced mechatronics, IEEE/ASME Transaction on Mechatronics, Vol.1, No.1, pp.56-67, 1996.
[6] H.S. Lee and M. Tomizuka, Robust motion controller design for high-accuracy positioning systems, IEEE Transactions on Industrial Electronics, Vol.43, No.1, pp.48-55, 1996.
[7] T. Mita, M. Hirata, K. Murata and H. Zhang, H1 control versus disturbance-observer-based control, IEEE Transactions on Industrial Electronics, Vol.45, No.3, pp.488-495, 1998.
[8] H. Kobayashi, S. Katsura and K. Ohnishi, An analysis of parameter variations of disturbance observer for motion control, IEEE Transactions on Industrial Electronics, Vol.54, No.6, pp.3413-3421, 2007.
[9] 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.
[10] D. C. Youla, J. J. Bongiorno and H. Jabr, Modern Wiener–Hopf design of optimal controllers. Part I: The single-input-output case, IEEE Trans. Automatic Control, Vol.AC-21, No.3, pp.3-13, 1976.
[11] C. A. Desoer, R. W. Liu, J. Murray and R. Saeks, Feedback system design: The fractional representation approach to analysis and synthesis, IEEE Trans. Automatic Control, Vol.AC-25, No.3, pp.399-412, 1980.
[12] M. Vidyasagar, Control System Synthesis - A factorization approach -, MIT Press, 1985.
[13] M. Morari and E. Zafiriou, Robust Process Control, Prentice-Hall, 1989.
[14] 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.
[15] K. Yamada, I. Murakami, Y. Ando, T. Hagiwara, Y. Imai, D.Z. Gong and M. Kobayashi, The parametrization of all disturbance observers for plants with input disturbance, The 4th IEEE Conference on Industrial Electronics and Applications, pp.41-46, Xi’an, China, 2009.
[16] K. Yamada, D.Z. Gong, T. Hagiwara, I. Murakami, Y. Ando, Y. Imai and M. Kobayashi, The parametrization of all disturbance observers for time-delay plants with input disturbance, Fourth International Conference on Innovative Computing, Information and Control, pp.1343 - 1346, 2009.
[17] T. Nakano, T. Inoue, Y. Yamamoto and S. Hara, Repetitive Control, SICE Publications, 1989.
[18] K. Yamada and K.Watanabe, State space design method of filtered inverse system, Transactions of the Society of Instrument and Control Engineers, Vol.28, pp.923-930, 1992.
[19] K. Yamada and K. Watanabe, A state space design method of stable filtered inverse system, Transactions of the Society of Instrument and Control Engineers, Vol.32, pp.862-870, 1996.
[20] K. Yamada, K. Watanabe and Z.B. Shu, A State Space Design Method of Stable Filtered Inverse Systems and Its Application to H2 Suboptimal Internal Model Control, Proceedings of International
Federation of Automatic Control World Congress’96, pp.379-382, 1996.
[21] K. Yamada and W. Kinoshita, New design method of stable filtered inverse systems, Proceedings of 2002 American Control Conference, pp.4738-4743, 2002.
[22] K. Yamada and W. Kinoshita, New state space design method of stable filtered inverse systems and their application, Transactions of the Institute of Systems, Control and Information Engineers,
Vol.16, pp.85-93, 2003.
[23] C.N. Nett, C.A. Jacobson and M.J. Balas, A connection between state-space and doubly coprime fractional representation, IEEE Transactions on Automatic Control, Vol.29, pp.831-832, 1984.
[24] K. Yamada, N. T. Mai, Y. Ando, T. Hagiwara, I. Murakami and T. Hoshikawa, A design method for stabilizing modified Smith predictors for multiple-input/multiple-output time-delay plants, Key Engineering Materials, Vol.459, pp.221-233, 2011.