Zusammenfassung
The previous chapter dealt with the problem of controlling a system with unknown, constant parameters. The material contained in this chapter was published previously as a doctoral thesis, see Feiler 2004 [48]. We consider the case where, in addition, the system is subject to unknown, external and time–varying disturbances. It is seen that under certain conditions, the problem can be translated to the previous one if a controller of extended order is used. The approach is based on the well–known fact from linear control theory that deterministic disturbances containing a finite number of frequencies can be completely rejected by placing appropriate poles in the feed–forward path of the control loop. According to the internal model principle (Francis and Wonham 1976 [58]), this can be regarded as a procedure of expanding the system by a “disturbance model” which generates an additional input that compensates the effect of the disturbance.
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Literaturverzeichnis
Cabrera, J.B.D und K.S. Narendra: Issues in the application of neural networks for tracking based on inverse control. IEEE Transactions on Automatic Control, vol. 44, no. 11, pp. 2007-2027, 1999.
Feiler, M. J.: Adaptive Control in the Presence of Disturbances. Doctoral Thesis, 2004.
Francis, B.A; Wonham, W.M.: The internal model principle of control theory. Automatica Vol. 12, pp. 457–465, 1976.
Goodwin, G. C. und K. S. Sin: Adaptive Filtering, Prediction and Control. Prentice–Hall, 1984.
Ioannou, P.A.; Sun, J.: Robust Adaptive Control. Prentice-Hall, 1996.
Khalil, H.: Nonlinear Systems. Prentice – Hall, 1996.
Kreisselmeier, G. und K.S. Narendra: Stable model reference adaptive control in the presence of bounded disturbances. IEEE Transactions on Automatic Control, vol. 27, pp. 1169–1175, 1982.
Landau, I.D., R. Lozano und M. M’Saad: Adaptive Control. Springer Verlag, 1998.
Ljung, L.: System Identification. Prentice Hall, 1999.
Narendra, K. S. und A. M. Annaswamy: Stable Adaptive Systems. Prentice Hall, 1989.
Narendra, K.S. und J. Balakrishnan: Improving transient response of adaptive control systems using multiple models and switching. Proc. of the 7th Yale Workshop on Adaptive and Learning Systems, Yale University, 1992.
Narendra, K.S. und J. Balakrishnan: Improving transient response of adaptive control systems using multiple models and switching. IEEE Transactions on Automatic Control, 39(9), pp. 1861-1866, 1994.
Narendra, K.S. und J. Balakrishnan: Adaptive Control Using Multiple Models. IEEE Transactions on Automatic Control, Vol. 42, No. 2, 1997.
Narendra, K.S., O.A. Driollet, M.J. Feiler und G. Koshy: Adaptive Control Using Multiple Models, Switching and Tuning. International Journal of Adaptive Control and Signal Processing, vol. 17, pp.87-102, 2003.
Narendra, K.S. und A.M. Lee: Stable direct adaptive control of time–varying discrete–time systems. Technical Report No. 8720, Center for Systems Science, Yale University, New Haven, 1987.
Tsakalis, K. und P. Ioannou: Adaptive Control of linear time–varying plants: A new model reference control structure. Technical Report No. 86-10-1, University of Southern California, 1987.
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Schröder (2010). Disturbance Rejection. In: Intelligente Verfahren. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11398-7_14
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DOI: https://doi.org/10.1007/978-3-642-11398-7_14
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