AUTHORS : Tain-Sou Tsay
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ABSTRACT : In this literature, a model based nonlinear digital control scheme is proposed for analyses and designs of stable feedback control systems. It is derived from the converging characteristic of two specified numerical time series. The ratios of neighborhoods of the series are formulated as a function of the output of the plant and the reference input command, and will be converged to be unities after the output has tracked the reference input command. Lead compensations are found by another numerical time series to speed up the system responses on the on-line adjusting manner and matching the reference model. A servo system, a time-delay system, a high order system and a very high order system are used to show effectiveness of the proposed nonlinear digital controller. Comparisons with other conventional methods are also made.
KEYWORDS : Discrete time series, Model based auto tuning, Nonlinear control
REFERENCES :
[1] K. Ogata, Discrete-Time Control System, Prentice- Hall Inc. Englewood Cliffs, NJ, 1994.
[2] B. C. Kuo, Digital Control Systems, 1995.
[3] C. L. Phillips & H.T. Nagle, Digital Control System Analyses and Designs, Prentice- Hall Inc., Englewood Cliffs, NJ, 1994.
[4] G. F. Franklin, and J. D Powelll, Feedback Control Dynamics, Addison-Wesley Publishing Company, 1986.
[5] G. F. Franklin, J. D. Powell and M. L. Workman, Digital Control of Dynamics, Ellis-Kagle Press., Half Moon Bay, CA, 2006.
[6] T. S. Tsay, Automatic Regulation Time Series for Industry Processes, Mathematical Problems in Engineering, Vol.2012, Article ID 710690, 2012, p.16.
[7] S. Majhi and D.P. Atherton, Auto-tuning and controller design for process with small time delays, IEE Proc. Control Theory Application, Vol.146, pp.415-425, 1999.
[8] S. Majhi, On-line PI Control of Stable Process, Journal of Process Control, Vol.15, 2005, pp.859-867.
[9] J. G. Ziegler and N. B. Nichols, Optimum Setting for Automatic Controller, Transactions of ASME, Vol.65, 1942, pp.759-768.
[10]K. J. Ǻström, T. Hägglund, Revisting the Ziegler-Nichols step responses method for PID control, Journal of Process Control, Vol.14, 2004, pp.635-650.
[11]K. J. Ǻström and C. C. Hang, Towards Intelligent PID Control, Automatica, Vol.28, pp.1-9, 1991.
[12]K. J. Ǻström and T. Hägglund, Automatic tuning of simple regulators with specifications on phase and amplitude margins, Automatica, Vol.20, pp.645-651, 1984.
[13]K. K. Tan, T. H Lee & X. Jiang, Robust Online Relay Automatic Tuning of PID Control System, ISA Transactions. Vol.39, 2000, pp.219-232.
[14]K. K. Tan , T. H. Lee & X. Jiang, On-line Relay Identification, Assessment and Tuning of PID controller, Journal of Process Control, Vol.11, 2001, pp.483-486.
[15]W. K. Ho, C. C. Hang and L. S. Cao, Tuning of PID Controllers Based on Gain and Phase Margin Specification, Automatica, Vol. 31, 1995, pp. 497-502.
[16]M. Zhuang and D. P. Atherton, Automatic Tuning of Optimum PID Controllers, IEE Control Theory Application, Vol.140, 1993, pp.216-224.