Abstract
A new reference model adaptive control scheme is proposed for plants with input delays where the control is formed only from the information about the input and output of the plant. The design procedure is based on the concept of reference model prediction by using the augmented error. The controller contains only filters of minimal complexity and blocks with lumped delay, which is in contrast to the known configurations with distributed delays. A numerical example is presented.
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Polyak, B.T. and Shcherbakov, P.S., Robastnaya ustoichivost’ i upravlenie (Robust Stability and Control), Moscow: Nauka, 2002.
Tao, G., Adaptive Control Design and Analysis, New York: Wiley, 2003.
Hua, C., Guan, X., and Shi, P., Robust Adaptive Control for Uncertain Time-delay Systems, Int. J. Adapt. Control Signal Proc., 2005. vol. 19, no. 7, pp. 531–545.
Ichikawa, K., Adaptive Control of Delay Systems, Int. J. Control, 1986, vol. 41, pp. 1653–1659.
Parsheva, E.A. and Tsykunov, A.M., Adaptive Control of an Object with a Delayed Control and Scalar Input-Output Signals, Autom. Remote Control, 2001, no. 1, pp. 124–131.
Ortega, R. and Lozano, R., Globally Stable Adaptive Controller for Systems with Delay, Int. J. Control, 1988, vol. 47, no. 1, pp. 17–23.
Evesque, S., Annaswamy, A.M., Niculescu, S.I., and Dowling, A.P., Adaptive Control of a Class of Timedelay Systems, J. Dynam. Syst., Measurement, Control, 2003, vol. 125, no. 2, pp. 186–193 (Special Issue on Time Delay Systems).
Mirkin, E.L., Combination of Sliding Mode and Reference Model Prediction Methods for Adaptive Control of Input Delay Systems, Proc. 7th Int. Workshop on Variable Structure Syst., Sarajevo, 2002, pp. 153–162.
Mirkin, B.M., Mirkin, E.L., and Gutman, P.-O., Model Reference Adaptive Control of Nonlinear Plant with Dead Time, Proc. 47th IEEE Conf. Decision Control, Cancun, Mexico, 2008, pp. 1920–1924.
Mirkin, B.M., Mirkin, E.L., and Gutman, P.-O., State-Feedback Adaptive Tracking of Linear Systems with Input and State Delays, Int. J. Adapt. Control Signal Proc., 2009, vol. 23, no. 6, pp. 567–580.
Mirkin, E.L. and Sharshenaliev, Zh.Sh., Reference Model Adaptive Control Design for SISO Systems, in Problemy avtomatiki i upravleniya (Problems in Automatics and Control), Bishkek: Ilim, 2008, no. 9, pp. 5–14.
Gantmakher, F.R., Teoriya matrits (Matrix Theory), Moscow: Nauka, 1988.
Monopoli, R.V., Model Reference Adaptive Control with an Augmented Error Signal, IEEE Trans. Automat. Control, 1974, vol. 19, pp. 474–484.
Yakubovich, V.A., Solution of Some Matrix Inequalities in Automatic Control Theory, Dokl. Akad. Nauk SSSR, 1962, vol. 143, no. 6, pp. 1304–1307.
Ioannou, P.A. and Sun, J., Robust Adaptive Control, New Jersey: Prentice-Hall, 1996.
Narendra, K.S., Annaswamy, A.M., and Singh, R.P., A General Approach to the Stability Analysis of Adaptive Systems, Int. J. Control, 1985, vol. 41, no. 1, pp. 193–216.
Orlov, R., Belkoura, L., Richard, J., and Dambrine, M., On Identifiability of Linear Time-delay Systems, IEEE Trans. Automat. Control, 2002, no. 8, pp. 1319–1324.
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Original Russian Text © E.L. Mirkin, Zh.Sh. Sharshenaliev, 2010, published in Avtomatika i Telemekhanika, 2010, No. 11, pp. 159–171.
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Mirkin, E.L., Sharshenaliev, Z.S. Model reference adaptive control design for plants with input delays. Autom Remote Control 71, 2405–2416 (2010). https://doi.org/10.1134/S0005117910110123
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DOI: https://doi.org/10.1134/S0005117910110123