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Editor-in-Chief
Nikiforov
Vladimir O.
D.Sc., Prof.
Partners
doi: 10.17586/2226-1494-2022-22-4-666-673
Compensation of external disturbances for MIMO systems with control delay
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Article in Russian
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Abstract
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Nguyen K.T., Vlasov S.M., Pyrkin A.A., Skobeleva A.V. Compensation of external disturbances for MIMO systems with control delay. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2022, vol. 22, no. 4, pp. 666–673 (in Russian). doi: 10.17586/2226-1494-2022-22-4-666-673
Abstract
The problem of compensation of external disturbing influences for MIMO system with input delay is important and relevant. A solution to this problem is proposed in the problems of dynamic objects control and in a number of others. The proposed method is based on the principle of an internal model and requires the identification of perturbation parameters. At the first stage, a scheme for extracting a disturbance is presented which is represented as a sinusoidal signal with an unknown frequency, amplitude, and phase. At the second stage, the problem of identifying the frequencies of a sinusoidal and multisinusoidal signal is solved. In the last stage, an algorithm for stabilizing the state of the object to zero is developed using feedback. A new scheme for compensating external disturbances for a MIMO system with an input delay is proposed. A new algorithm for identifying the frequencies of a multisinusoidal signal is proposed. The analysis of the possibilities of the proposed estimation method using computer simulation in the MATLAB Simulink environment is carried out. The developed method can be effectively applied to a wide class of applied tasks related to the control of robots and robotic manipulators for various purposes.
Keywords: adaptive control, MIMO systems, identification, internal model, delay
References
References
-
Bobtsov A., Kremlev A. Adaptive compensation of biased sinusoidal disturbances with unknown frequency. IFAC Proceedings Volumes, 2005, vol. 38, no. 1, pp. 131–136. https://doi.org/10.3182/20050703-6-CZ-1902.00022
-
Nikiforov V.O. Adaptive nonlinear servocompensation of unknown external disturbances. IFAC Proceedings Volumes,1999,vol. 32, no. 2,pp. 4506–4511.https://doi.org/10.1016/S1474-6670(17)56768-3
-
Bobtsov A.,Pyrkin A., TitovA., KremlevA. Compensation of harmonic disturbance for nonlinear plant with parametric and functional uncertainty. IFAC Proceedings Volumes, 2011,vol. 44, no. 1, pp. 1528–1533. https://doi.org/10.3182/20110828-6-IT-1002.02324
-
Nikiforov V. Adaptive non-linear tracking with complete compensation of unknown disturbances. European Journal of Control, 1998,vol. 4, no. 2,pp. 132–139. https://doi.org/10.1016/S0947-3580(98)70107-4
-
Nikiforov V.O.Adaptive servocompensation of input disturbances.IFAC Proceedings Volumes,1996,vol. 29, no. 1,pp. 5114–5119. https://doi.org/10.1016/S1474-6670(17)58492-X
-
Wang J., Vedyakov A., Vediakova A., Pyrkin A., Bobtsov A., Shavetov S. Output adaptive controller for a class of MIMO systems with input delay and multisinusoidal disturbance. IFAC-PapersOnLine, 2015, vol. 48, no. 11, pp. 892–899. https://doi.org/10.1016/j.ifacol.2015.09.304
-
Olbrot A. Stabilizability, detectability, and spectrum assignment for linear autonomous systems with general time delays. IEEE Transactions on Automatic Control, 1978, vol. 23, no. 5, pp. 887–890. https://doi.org/10.1109/TAC.1978.1101879
-
Manitius A., Olbrot A. Finite spectrum assignment problem for systems with delays. IEEE Transactions on Automatic Control, 1979, vol. 24, no. 4, pp. 541–552. https://doi.org/10.1109/TAC.1979.1102124
-
Anderson R., Spong M. Bilateral control of teleoperators with time delay. IEEE Transactions on Automatic Control, 1989, vol. 34, no. 5, pp. 494–501. https://doi.org/10.1109/9.24201
-
Krstic M., Smyshlyaev A. Backstepping boundary control for first-order hyperbolic PDEs and application to systems with actuator and sensor delays. Systems and Control Letters, 2008, vol. 57, no. 9, pp. 750–758. https://doi.org/10.1016/j.sysconle.2008.02.005
-
Bresch-Pietri D., Krstic M. Adaptive trajectory tracking despite unknown input delay and plant parameters. Automatica, 2009, vol. 45, no. 9, pp. 2074–2081. https://doi.org/10.1016/j.automatica.2009.04.027
-
Pyrkin A.A., Bobtsov A.A., Nikiforov V.O., Vedyakov A.A., Kolyubin S.A., Borisov O.I. Output control approach for delayed linear systems with adaptive rejection of multiharmonic disturbance. IFAC Proceedings Volumes, 2014, vol. 43, no. 3, pp. 12110–12115. https://doi.org/10.3182/20140824-6-ZA-1003.01787
-
Pyrkin A.A., Bobtsov A.A., Nikiforov V.O., Kolyubin S.A., Vedyakov A.A., Borisov O.I., Gromov V.S.Compensation of polyharmonic disturbance of state and output of a linear plant with delay in the control channel. Automation and Remote Control, 2015, vol. 76, no. 12, pp. 2124–2142. https://doi.org/10.1109/TAC.2016.2614889
-
Pyrkin A.A., Bobtsov A.A., Chepinskiy S.A., Kapitanyuk Y.A. Compensation of unknown multiharmonic disturbance for nonlinear plant with delay in control. IFAC Proceedings Volumes, 2010, vol. 43, no. 14, pp. 481–486. https://doi.org/10.3182/20100901-3-IT-2016.00065
-
Wang J., Vedyakov A.A., Vediakova A.O., Pyrkin A.A., Bobtsov A.A., Shavetov S.V. Output adaptive controller for a class of MIMO Systems with input delay and multisinusoidal disturbance. IFAC-PapersOnLine, 2015, vol. 48, no. 11, pp. 892–899. https://doi.org/10.1016/j.ifacol.2015.09.304
-
Nikiforov V.O. Adaptive compensation of external disturbances. Control of Complex Systems: Preprint 125. Ed. by A.L. Fradkov, A.A. Stotsky. St. Petersburg, IPME, 1995, pp. 34–40.
-
Johnson C.D. Accommodation of external disturbances in linear regulator and servomechanism problems.IEEE Transactions on Automatic Control, 1971, vol. 16, no. 6,pp. 635–644. https://doi.org/10.1109/TAC.1971.1099830
-
Francis D.A., Wonham W.M. The internal model principle for linear multivariable regulators.Applied Mathematics and Optimization, 1975, vol. 2,no. 2,pp. 170–194. https://doi.org/10.1007/BF01447855
-
Nikiforov V.O. Adaptive servomechanism controller with an implicit reference model. International Journal of Control, 1997, vol. 68, no. 2,pp. 277–286. https://doi.org/10.1080/002071797223604
-
Nikiforov V.O.Adaptive and Robust Control with Compensation of the External Disturbances.St. Petersburg, Nauka Publ., 2003, 282 p. (in Russian)
-
Nikiforov V.O.Observers of external deterministic disturbances. I. Objects with known parameters. Automation and Remote Control, 2004, vol. 65, no. 10, pp. 1531–1541.https://doi.org/10.1023/B:AURC.0000044264.74470.48
-
Nguyen Kh.T.,Vlasov S.M.,Pyrkin A.A.,Popkov I.V.A new algorithm for the identification of sinusoidal signal frequency with constant parameters. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2022, vol. 22,no. 1, pp. 18–24. (in Russian). https://doi.org/10.17586/2226-1494-2022-22-1-18-24
-
Aranovskiy S., Bobtsov A., Ortega R., Pyrkin A. Performance enhancement of parameter estimators via dynamic regressor extension and mixing.IEEE Transactions on Automatic Control, 2017,vol. 62,no. 7, pp. 3546–3550. https://doi.org/10.1109/TAC.2016.2614889