Summary
In this work we will apply a linear quadratic regulator for the controller of the magnetic levitation of a rigid body. A successfull implementation with a diferentiator to estimate the velocity is showed, using a linear and not noisy displacement sensor. Another implementation with a pragmatic control policy that worked well with a noisy and strongly nonlinear sensor is presented.
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References
Safonov, M. G. and M. Athans, “Gain and phase margins for Multiloop LQ6 regulator”, IEEE Trans. Automat. Contr., Apr. 1977.
Doyle, J. C., “Guaranteed margins for LQ6 regulators”, IEEE Trans. Automat. Contr., vol. Ac-23, pp. 756–757, Aug. 1978.
Anderson, B. D. O. and J. B. Moore, “Linear optimal control”, Prentice Hall, Englewood Cliffs, N. J., 1971.
Schweitzer, G. and H. Ulbrich, “Magnetic Bearings — A novel type of suspension”, Sec. Intern. Conf. on vibration in rotating machinery, Institution of Mechanical Engineers, London, Cambridge, 1988.
Deboni, J. E. Z. e W. R. Mello, “Estudos de controle otimo para levitaçao magnética”, COPESP, internal report, 1986.
Traxler, A. and G. Schweitzer, “Measurement of the force characterist contactless eletromagnetic rotor bearing”, IMEKO Intern Measurem. Conf, Symposium on Measurement and Estimation, Brixen, Italy, May, 1984, pp. 187–191.
Kailath, T., “Linear systems”. Prentice Hall, Englewood Cliffs, N. J., 1980.
Okada, T., Kihara, M. and H. Furihata, “Robust control systems with observers”, Int. J. Contr., vol. 41, num. 5, 1987, pp. 1207–1219.
Tsui, C. C., “On preserving the robustness of an optimal control system with observers”, IEEE Trans. Automat. Contr., vol Ac-32, PP. 823–826, Sep. 1987.
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© 1989 Springer-Verlag Berlin Heidelberg
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Pierri, P.S., Pereira da Silva, P.S., Betti, F. (1989). Design of a Controller for Magnetic Levitation. In: Schweitzer, G. (eds) Magnetic Bearings. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51724-2_13
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DOI: https://doi.org/10.1007/978-3-642-51724-2_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-51726-6
Online ISBN: 978-3-642-51724-2
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