A Design Method for Modified PID Control Systems to Attenuate Unknown Disturbances

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PID(Proportional-Integral-Derivative) controller structure is the most widely used one in industrial applications. Yamada and Hagiwara proposed a design method for modified PID controllers such that modified PID controllers make the control system for unstable plants stable and the admissible sets of P-parameter, I-parameter and D-parameter are independent from each other. When modified PID control systems are applied to real plants, the influence of disturbance in the plant must be considered. In many cases, disturbance in the plant is unknown. It is comparatively easy to attenuate known disturbance, but it is difficult to attenuate unknown disturbances. From a practical viewpoint, it is desirable to design a modified PID control system to attenuate unknown disturbances. However, no paper examines a design method for modified PID control systems to attenuate unknown disturbances. In this paper, we propose a design method for modified PID control systems to attenuate unknown disturbances.

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Periodical:

Edited by:

Osamu Hanaizumi and Masafumi Unno

Pages:

211-220

DOI:

10.4028/www.scientific.net/KEM.459.211

Citation:

T. Hagiwara et al., "A Design Method for Modified PID Control Systems to Attenuate Unknown Disturbances", Key Engineering Materials, Vol. 459, pp. 211-220, 2011

Online since:

December 2010

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$38.00

[1] N. Suda: PID control, Asakura Shoten, (1992)(in Japanese).

[2] K. Astrom, and T. Hagglund: PID controllers: Theory design, and tuning, Instrument Society of America, North Carolina, (1995).

[3] A. Datta, M.Z. Ho and S.P. Bhattacharyya: Structure and Synthesis of PID Controllers, Springer-Velag, London, (2000).

[4] J.G. Zieglae and N.B. Nicholes: Optimum settings for automatic controllers, Trans. ASME, 64, (1942), pp.759-768.

[5] P. Hazebroek and B.L. van der Warden: The Optimal Adjustment of Regulators, Trans. ASME, 72, (1950), pp.317-332.

[6] P. Hazebroek and B.L. van der Warden: Theoretical Considerations on the Optimal Adjustment of Regurators, Trans. ASME, 72, (1950), pp.309-315.

[7] W.A. Wolf: Controller Setting for Optimum Control, Trans. ASME, 73, (1951), pp.413-418.

[8] K.L. Chien, J.A. Hrones and J.B. Reswick: On the Automatic Control of Generalized Passive Systems, Trans. ASME, 74, (1952), pp.175-185.

[9] G.H. Cohen and G.A. Coon: Theoretical Consideration of Retaeded Control, Trans. ASME, 75, (1953), pp.857-834.

[10] A.M. Lopez, J.A. Miller, C.L. Smith and P.W. Murrill: Tuning Controllers with Error-Integral Criteria, Instrumentation Technology, 14, (1967), pp.52-62.

[11] J.A. Miller, A.M. Lopez, C.L. Smith and P.W. Murrill: A Comparison of Controller Tuning Techniques, Controll Engineering, 14, (1967), pp.72-75.

[12] T. Kitamori: A method of control system design based upon partial knowledge about controlled process, Transactions of the Society of Instrument and Control Engineers, 15-4, (1979), pp.549-555(in Japanese).

DOI: 10.9746/sicetr1965.15.549

[13] T. Kitamori: Design method for PID control systems, Journal of the Society of the Instrument and Congtrol Engineers, 19-4, (1980), pp.382-391(in Japanese).

[14] P. Cominos and N. Munro: PID Controllers: Recent Tuning Methods and Design to Specification, IEE Proceedings, 149, (2002), pp.46-53.

DOI: 10.1049/ip-cta:20020103

[15] F. Zheng, Q.G. Wang and T.H. Lee: On the Design of Multivariable PID Controllers via LMI Approach, Automatica, 38-3, (2002), pp.517-526.

DOI: 10.1016/s0005-1098(01)00237-0

[16] C. Lin, Q.G. Wang and T.H. Lee: An Improvement on Multivariable PID Controller Design via Iterative LMI Approach, Automatica, 40-3, (2004), pp.519-525.

DOI: 10.1016/j.automatica.2003.10.008

[17] N. Viorel and M. Constantin, A. Dorel and C. Emil: Aspects of Pole Placement Technique in Symmetrical Optimum Method for PID Controller Design, Preprints of the 16th IFAC World Congress DVD-ROM, (2005).

[18] K. Tamura and K. Shimizu: Eigenvalue Assignment Method by PID Control for MIMO System, Transactions of The Institute of Systems, Control and Information Engineers, 19-5, (2006), pp.193-202 (in Japanese).

DOI: 10.5687/iscie.19.193

[19] J. Yang: Parameter Plane Control Design for a Two-tank Chemical Reactor Systems, Journal of the Franklin Institute, 331B-1, (1994), pp.61-76.

[20] M.T. Ho, A. Datta, and S.P. Bhattacharyya: A linear programming characterization of all stabilizing PID controllers, Proceedings of the American Control Conference 1997, (1997), pp.3922-3928.

DOI: 10.1109/acc.1997.609624

[21] K. Yamada, and T. Moki: A design method for PI control for minimum phase systems, Intelligent Engineering Systems Through Artificial Neural Networks, Vol. 13(2003), pp.571-576.

[22] K. Yamada: Modified PID controllers for minimum phase systems and their practical application, Proceedings of The 2005 Electrical Engineering/Electronics, Computer, Telecommunication, and Information Technology (ECTI) International Conference, Volume II of II, (2005).

[23] K. Yamada, N. Matsushima and T. Hagiwara: A design method for modified PID controllers Telecommunication, and Information Technology (ECTI) International Conference, Vol. I of II, Ubon Ratchathani, Thailand, (2006), pp.123-126.

[24] K. Yamada, N. Matsushima and T. Hagiwara: A design method for modified PID controllers for stable plants, ECTI Transactions on Electrical Eng., Electronics, and Communications, Vol. 5-1, (2007), pp.31-40.

[25] K. Yamada and T. Hagiwara: A design method of modified PID controller for unstable plants, Intelligent Engineering System Through Artificial Neural Networks, Vol. 16, (2006), pp.753-758.

DOI: 10.1115/1.802566.paper111

[26] K. Yamada, T. Hagiwara and Y. Shimizu: A design method of robust stabilizing modified PID controllers, Theoretical and Applied Mechanics, Vol. 56, (2007), pp.123-134.

[27] K. Yamada, I. Murakami, Y. Ando, T. Hagiwara, Y. Imai and M. Kobayashi: The parametrization of all disturbance observers, ICIC Express Letters, An International Journal of Research and Surveys, Vol. 2, No. 4, (2008), pp.421-426.

[28] M. Vidyasagar: Control System Synthesis-A factorization approach-, MIT Press, (1985).

[29] 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, No. 2, (2003), pp.85-93.

DOI: 10.5687/iscie.16.85

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