Abstract
A method is presented for synthesis of optimal sampled-data tracking systems with two controllers, one of which is incorporated into the closed loop, while another is placed in feedforward chain. The approach is based on Laplace transform in continuous time and polynomial equations theory. The set of all admissible reference controllers is constructed. The cost function include integral quadratic output and control errors in continuous time.
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REFERENCES
Youla, D.C. and Bonjiorno, J.J., Jr., A Feedback Theory of Two-Degree-of-Freedom Optimal Wiener-Hopf Design. IEEE Trans. Autom. Control, 1985, vol. AC-30, no. 7, pp. 652-665.
Grimble, M.J., Two and a Half Degrees of Freedom LQG Controller and Application to Wind Turbines, IEEE Trans. Autom. Control, 1994, vol. AC-39, no. 1, pp. 122-127.
Grimble, M.J., Robust Industrial Control, New York: Prentice Hall, 1995.
Chen, T. and Francis, B.A., Optimal Sampled-Sata Control Systems, Berlin: Springer, 1995.
Hagiwara, T. and Araki, M., FR-Operator Approach to the H 2 Analysis and Synthesis of Sampled-Data Systems, IEEE Trans. Autom. Control, 1995, vol. AC-40, no. 8, pp. 1411-1421.
Rosenwasser, E.N., Lineinaya teoriya tsifrovogo upravleniya v nepreryvnom vremeni (Linear Theory of Digital Control in Continuous Time), Moscow: Nauka, 1994.
Rosenwasser, Y.N., Lampe, B.P. Digitale Regelung in kontinuierlicher Zeit, Stuttgart: Teubner-Verlag, 1997.
Rosenvasser, E., Poljakov, K., and Lampe B., Entwurf optimaler digitaler Kursregler mit Hilfe von Parametrischen Ñbertragungsfunktionen, Automatisierungstechnik, 1996, vol. 44, no. 10, pp. 487-495.
Rosenvasser, E., Polyakov, K., and Lampe, B., Frequency Method for H 2-Optimization of Time-Delayed Sampled-Data Systems, Automatica, 1997, vol. 33, no. 7, pp. 1387-1392.
Rosenwasser, E., Polyakov, K., and Lampe, B., Application of Laplace Transformation for Digital Redesign of Continuous Control Systems, IEEE Trans. Autom. Control, 1999, vol. AC-44, no. 4, pp. 883-886.
Polyakov, K.Yu., An Algorithm for Synthesis of Optimal Digital Controller on the Basis of the Parametric Transfer Function Method, Izv. Ross. Akad. Nauk, Teor. Sist. Upravlen., 1998, no. 3, pp. 32-39.
Polyakov, K.Yu., Polynomial Synthesis of Digital Control Systems for Continuous Plants. I., Avtom. Telemekh, 1998, no. 10, pp. 76-89.
Polyakov, K.Yu., Polynomial Synthesis of Digital Control Systems for Continuous Plants. II., Avtom. Telemekh, 1998, no. 12, pp. 94-108.
Polyakov, K.Yu., Polynomial Synthesis of Optimal Digital Tracking Systems. I., Avtom. Telemekh, 2001, no. 2, pp. 149-163.
Polyakov, K.Yu., Polynomial Synthesis of Optimal Digital Tracking Systems. II., Avtom. Telemekh, 2001, no. 3, pp. 94-107.
Kučera, V., Discrete Linear Control, New York: Wiley, 1979.
Volgin, L.N., Optimal'noe diskretnoe upravlenie dinamicheskimi sistemami (Optimal Discrete Control of Dynamic Systems), Moscow: Nauka, 1986.
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Polyakov, K.Y. Design of Optimal 2-DOF Sampled-Data Systems. Automation and Remote Control 62, 934–942 (2001). https://doi.org/10.1023/A:1010249720439
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DOI: https://doi.org/10.1023/A:1010249720439