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Editor-in-Chief
Nikiforov
Vladimir O.
D.Sc., Prof.
Partners
doi: 10.17586/2226-1494-2023-23-5-894-903
Robust disturbances compensation for MIMO linear systems with unmeasured state vector and control delay
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Article in Russian
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Abstract
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Bui V.H., Zhdanov V.A., Margun A.A. Robust disturbances compensation for MIMO linear systems with unmeasured state vector and control delay. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2023, vol. 23, no. 5, pp. 894–903 (in Russian). doi: 10.17586/2226-1494-2023-23-5-894-903
Abstract
In the paper, the problem of compensation of external disturbance in multichannel systems with unmeasurable state vector and delay in the control channel is considered. It is assumed that the disturbance has a harmonic form. To solve the problem of estimating the state vector of a system, a full-order observer with Unknown Input Observer is constructed. A new observer of external disturbance is formed on the basis of the state vector estimates produced by this observer. As a result, a system is formed that uses estimates with an extended state vector. For this system, a regulator is constructed that provides compensation of the disturbance. The proposed algorithm guarantees boundedness of all signals in the closed-loop system and asymptotic stability of the output. It does not require identification of parameters of external disturbance. To demonstrate the performance and efficiency of the proposed approach, computer simulation using MATLAB Simulink software environment is performed. The developed algorithm can be effectively applied in systems with external disturbance in the form of sinusoidal signals, including systems exposed to wind, ship systems, motion control systems of robotic complexes of various types, and others.
Keywords: adaptive control, MIMO system, sinusoidal disturbance, linear systems, disturbance compensation, delay in the control channel
Acknowledgements. The study was supported by the Ministry of Science and Higher Education of the Russian Federation, state assignment No. 2019-0898.
References
Acknowledgements. The study was supported by the Ministry of Science and Higher Education of the Russian Federation, state assignment No. 2019-0898.
References
- Bodson M., Douglas S.C. Adaptive algorithms for the rejection of sinusoidal disturbances with unknown frequency. Automatica, 1997, vol. 33, no. 12, pp. 2213–2221. https://doi.org/10.1016/S0005-1098(97)00149-0
- Nikiforov V.O. Adaptive servocompensation of input disturbances. IFAC ProceedingsVolumes,1996, vol. 29, no. 1, pp. 5114–5119. https://doi.org/10.1016/s1474-6670(17)58492-x
- Marino R., Santosuosso G.L., Tomei P. Robust adaptive compensation of biased sinusoidal disturbances with unknown frequency. Automatica, 2003, vol. 39, no. 10, pp. 1755–1761. https://doi.org/10.1016/S0005-1098(03)00170-5
- Hackl C.M. High-gain adaptive position control. International Journal of Control, 2011, vol. 84, no. 10, pp. 1695–1716. https://doi.org/10.1080/00207179.2011.623720
- Bobtsov A.A., Pyrkin A.A., Kolyubin S.A. Rejection of sinusoidal disturbance approach based on high-gain principle. Proc. of the IEEE 51st IEEE Conference on Decision and Control (CDC), 2012, pp. 6786–6791. https://doi.org/10.1109/cdc.2012.6426733
- Modern Sliding Mode Control Theory. New Perspectives and Applications. Ed. by G. Bartolini, L. Fridman, A. Pisano, E. Usai. Verlag Berlin Heidelberg: Springer, 2008, XX, 468 p. Lecture Notes in Control and Information Sciences; vol. 375. https://doi.org/10.1007/978-3-540-79016-7
- Advances in Sliding Mode Control Concept, Theory and Implementation. Ed. by B. Bandyopadhyay, S. Janardhanan, Sarah K. Spurgeon. Verlag Berlin Heidelberg, Springer, 2013, XXII, 381 p. Lecture Notes in Control and Information Sciences; vol. 440. https://doi.org/10.1007/978-3-642-36986-5
- Kurdiukov A.P. Basics of Robust Control. Moscow, BMSTU, 1995, 131 p. (in Russian)
- Ravi R., Nagpal K.M., Khargonekar P.P. H∞–Control of linear time-varying systems: a state–space approach. SIAM Journal on Control and Optimization, 1991, vol. 29, no. 6, pp. 1394–1413. https://doi.org/10.1137/0329071
- Ball J.A., Helton J.W., Walker M.L. H/sup infinity / Control for nonlinear systems with output feedback. IEEE Transactions on Automatic Control, 1993, vol. 38, no. 4, pp. 546–559. https://doi.org/10.1109/9.250523
- A Course in H∞–Control Theory. Ed. by B.A. Francis. Verlag, Berlin, Springer, 1987, X, 155 p. Lecture Notes in Control and Information Sciences; vol. 88. https://doi.org/10.1007/BFb0007371
- Francis D.A., Wonham W.N. The internal model principle for linear multivariable regulators. Applied Mathematics & Optimization, 1975, vol. 2, no. 2, pp. 170–194. https://doi.org/10.1007/bf01447855
- Davison E.J. The robust control of a servomechanism problem for linear time-invariant multivariable systems. IEEE Transactions on Automatic Control, 1976, vol. 21, no. 1, pp. 25–34. https://doi.org/10.1109/tac.1976.1101137
- 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
- Nikiforov V.O. Nonlinear servocompensation of unknown external disturbances. Automatica, 2001, vol. 37, no. 10, pp. 1647–1653. https://doi.org/10.1016/S0005-1098(01)00117-0
- Nikiforov V.O. 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 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 Disturbance Compensation. St. Petersburg: Nauka, 2003, pp. 282. (in Russian)
- Narendra K.S., Annaswamy A.M. Stable Adaptive Systems. Prentice-Hall, 1989, 494 p.
- Gerasimov D.N., Nikiforov V.O., Paramonov A.V. Adaptive disturbance compensation in delayed linear systems: internal model approach. Proc. of the IEEE Conference on Control Applications (CCA), 2015, pp. 1692–1696. https://doi.org/10.1109/CCA.2015.7320853
- Paramonov A.V. Adaptive robust disturbance compensation in linear systems with delay.Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2018, vol. 18, no. 3, pp. 384–391. (in Russian). https://doi.org/10.17586/2226-1494-2018-18-3-384-391
- Bui V.H., Margun A.A. Compensation of output external disturbances for a class of linear systems with control delay. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2022, vol. 22, no. 6, pp. 1072–1077. (in Russian). https://doi.org/10.17586/2226-1494-2022-22-6-1072-1077
- Dambrine M., Gouaisbaut F., Perruquetti W., Richard J.P. Robustness of sliding mode control under delays effects: a case study. Proc. of the 2nd IEEE-IMACS Conference CESA’98, pp. 817–821.
- Gouaisbaut F., Perruquetti W., Richard J.P. A sliding mode control for linear systems with input and state delays. Proc. of the 38th IEEE Conference on Decision and Control, 1999, pp. 4234–4239. https://doi.org/10.1109/cdc.1999.828026
- Kwon W., Pearson A. Feedback stabilization of linear systems with delayed control. IEEE Transactions on Automatic Control, 1980, vol. 25, no. 2, pp. 266–269. https://doi.org/10.1109/tac.1980.1102288
- Niculescu S.-I., Annaswamy A.M. An adaptive Smith–controller for time–delay systems with relative degree n* ≤ 2. Systems & Control Letters, 2003, vol. 49, no. 5, pp. 347–358. https://doi.org/10.1016/s0167-6911(03)00113-0
- Krstic M. Delay Compensation for Nonlinear, Adaptive, and PDE Systems. Birkhauser, Springer, 2009, 466 p. https://doi.org/10.1007/978-0-8176-4877-0
- Chen J., Patton R.J. Robust Model-Based Fault Diagnosis for Dynamic Systems. Beijing University of Aeronautics Beijing, 1999, 356 p.
- Nikiforov V.O., Gerasimov D.N. Adaptive Regulation. Reference Tracking and Disturbance Rejection. Springer, 2022, XVI, 358 p. Lecture Notes in Control and Information Sciences; vol. 491. https://doi.org/10.1007/978-3-030-96091-9
- Krstic M., Kanellakopoulos I., Kokotovic P. Nonlinear and Adaptive Control Design. John Wiley and Sons, Inc., NY, 1995, 563 p.
- Marino R., Tomei P. Output regulation for linear systems via adaptive internal model. IEEE Transactions on Automatic Control, 2003, vol. 48, no. 12, pp. 2199–2202. https://doi.org/10.1109/tac.2003.820143
- Ioannou P., Sun J. Robust Adaptive Control. NJ: Prentice Hall, 1996, 848 p.
- Gerasimov D.N., Paramonov A.V., Nikiforov V.O. Algorithms of adaptive disturbance compensation in linear systems with arbitrary input delay. International Journal of Control, 2020, vol. 93, no. 7, pp. 1596–1604. https://doi.org/10.1080/00207179.2018.1521527