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Adaptive Control of Multichannel Nonlinear Systems with Unaccounted Dynamics Under Disturbances

https://doi.org/10.17586/0021-3454-2025-68-4-303-309

Abstract

The problem of adaptive control of multichannel nonlinear systems with unaccounted input dynamics under parametrically uncertain disturbances is considered. It is shown how the approach based on a “post-processing” adjustable internal model can be used to provide compensation for harmonic external disturbances. The adaptation algorithm is synthesized based on the stability analysis of the closed system using Lyapunov functions.

About the Authors

A. Yu. Zhivitsky
ITMO University
Russian Federation

Andrei Yu. Zhivitsky — Post-Graduate Student Faculty of Control Systems and Robotics

St. Petersburg



O. I. Borisov
ITMO University
Russian Federation

Oleg I. Borisov — PhD, Associate Professor Faculty of Control Systems and Robotics; Associate Professor

St. Petersburg



References

1. Francis B., Sebakhy O.A., Wonham W.M. Applied Mathematics and Optimization, 1974, no. 1(1), pp. 64–86, DOI: 10.1007/BF01449024.

2. Davison E. IEEE Transactions on Automatic Control, 1976, no. 1(21), pp. 25–34, DOI: 10.1109/TAC.1976.1101137.

3. Serrani A., Isidori A., Marconi L. IEEE Transactions on Automatic Control, 2001, no. 8(46), pp. 1178–1194, DOI: 10.1109/9.940923.

4. Pyrkin A., Isidori A. European Journal of Control, 2019, vol. 46, рр. 63–79, DOI: 10.1016/j.ejcon.2018.04.001.

5. Borisov O., Isidori A., Pyrkin A. 2023 62nd IEEE Conference on Decision and Control (CDC), 2023, рр. 1537–1542, DOI: 10.1109/CDC49753.2023.10383343.

6. Isidori A. Lectures in Feedback Design for Multivariable Systems, Springer, Cham, 2017, DOI: 10.1007/978-3-319-42031-8.

7. Astolfi D., Isidori A., Marconi L., Praly L. IFAC Proceedings Volumes, 2013, no. 23(46), pp. 295–300, DOI: 10.3182/20130904-3-FR-2041.00118.

8. Pyrkin A., Isidori A. 2017 IEEE 56th Annual Conference on Decision and Control (CDC), 2017, рр. 873–878, DOI: 10.1109/CDC.2017.8263769.


Review

For citations:


Zhivitsky A.Yu., Borisov O.I. Adaptive Control of Multichannel Nonlinear Systems with Unaccounted Dynamics Under Disturbances. Journal of Instrument Engineering. 2025;68(4):303-309. (In Russ.) https://doi.org/10.17586/0021-3454-2025-68-4-303-309

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ISSN 0021-3454 (Print)
ISSN 2500-0381 (Online)