| Title:
|
Disturbance observer-based robust control for a class of uncertain nonlinear systems (English) |
| Author:
|
Wang, Chengcheng |
| Author:
|
Jia, Xianglei |
| Author:
|
Xiang, Chengdi |
| Author:
|
Han, Yingying |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
62 |
| Issue:
|
4 |
| Year:
|
2026 |
| Pages:
|
561-583 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper addresses the global output regulation problem for a class of strict-feedback systems subject to unknown nonlinearities and mismatched disturbances. A composite robust control strategy based on backstepping, high-gain scaling and disturbance observers is developed. In particular, unknown mismatched nonlinearities are suppressed by introducing high-gain scaling, and mismatched disturbances are compensated for by improved disturbance observers. Rigorous Lyapunov analysis guarantees the global stability of the closed-loop system and the achievement of output regulation. A key advantage of the proposed controller is that it does not rely on specific models of nonlinearities, thus ensuring strong robustness to model uncertainties. Finally, simulation results are provided to validate the effectiveness of the proposed method. (English) |
| Keyword:
|
backstepping control |
| Keyword:
|
disturbance observers |
| Keyword:
|
high-gain scaling |
| Keyword:
|
nonlinear systems |
| MSC:
|
93C10 |
| MSC:
|
93C73 |
| MSC:
|
93D05 |
| DOI:
|
10.14736/kyb-2026-4-0561 |
| . |
| Date available:
|
2026-10-07T10:18:21Z |
| Last updated:
|
2026-10-07 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153774 |
| . |
| Reference:
|
[1] Astolfi, D., Casadei, G.: Stabilization of nonlinear systems in presence of filtered output via extended high-gain observers..Automatica 110 (2019), 108594. |
| Reference:
|
[2] Bingöl, Ö., Güzey, H. M.: Design of a neuro-sliding mode controller for interconnected quadrotor UAVs carrying a suspended payload..Kybernetika 59 (2023), 670-699. |
| Reference:
|
[3] Chen, M., Ge, S. S.: Adaptive neural output feedback control of uncertain nonlinear systems with unknown hysteresis using disturbance observer..IEEE Trans. Ind. Electron. 62 (2015), 7706-7716. |
| Reference:
|
[4] Davila, J.: Exact tracking using backstepping control design and high-order sliding modes..IEEE Trans. Automat. Control 58 (2013), 2077-2081. |
| Reference:
|
[5] He, W., Guo, J., Xiang, Z.: Disturbance-observer-based sampled-data adaptive output feedback control for a class of uncertain nonlinear systems..Int. J. Syst. Sci. 50 (2019), 1771-1783. |
| Reference:
|
[6] Jia, F., Cao, F., He, X.: Adaptive fault-tolerant tracking control for uncertain nonlinear systems with unknown control directions and limited resolution..IEEE Trans. Syst. Man Cybernet. 53 (2022), 1813-1825. |
| Reference:
|
[7] Kalina, J., Vidnerová, P., Janáček, P.: Highly robust training of regularized radial basis function networks..Kybernetika 60 (2024), 38-59. |
| Reference:
|
[8] Krstic, M., Kokotovic, P. V., Kanellakopoulos, I.: Nonlinear and Adaptive Control Design..John Wiley and Sons, Inc., New York 1995. |
| Reference:
|
[9] Li, M., Chen, Y., Liu, Y.: Adaptive disturbance observer-based event-triggered fuzzy control for nonlinear system..Inform. Sci. 575 (2021), 485-498. |
| Reference:
|
[10] Liu, W., Li, P.: Disturbance observer-based fault-tolerant adaptive control for nonlinearly parameterized systems..IEEE Trans. Ind. Electron. 66 (2019), 8681-8691. |
| Reference:
|
[11] Liu, W., Ma, Q., Lu, Y., Xu, S.: Adaptive fixed-time event-triggered fuzzy control for time-delay nonlinear systems with disturbances and quantization..IEEE Trans. Fuzzy Syst. 31 (2023), 2848-2860. |
| Reference:
|
[12] Liu, W., Ma, Q., Xu, S.: Anti-disturbance fault-tolerant adaptive output feedback control for uncertain nonlinear systems with disturbance observer..IEEE Trans. Syst. Man Cyb. 55 (2025), 2987-2997. |
| Reference:
|
[13] Liu, W., Tang, W., Zhao, H., Xu, S., Park, J. H.: Combined disturbance observer-based fuzzy finite-time preassigned performance control for state-constrained nonlinear systems..Fuzzy Set. Syst. 508 (2025), 109321. |
| Reference:
|
[14] Liu, Z. G., Tian, Y. P., Sun, Z. Y.: An adaptive homogeneous domination method to time-varying control of nonlinear systems..Int. J. Robust Nonlin. 32 (2022), 527-540. |
| Reference:
|
[15] Liu, L., Xu, S., Xie, X. J., Xiao, B.: Observer-based decentralized control of large-scale stochastic high-order feedforward systems with multi time delays..J. Franklin Inst. 356 (2019), 9627-9645. |
| Reference:
|
[16] Nguyen, D. G., Tran, D. T., Ahn, K. K.: Disturbance observer-based chattering-attenuated terminal sliding mode control for nonlinear systems subject to matched and mismatched disturbances..Appl. Sci. 11 (2021), 8158. |
| Reference:
|
[17] Razzaghian, A., Moghaddam, R. Kardehi, Pariz, N.: Disturbance observer-based fractional-order nonlinear sliding mode control for a class of fractional-order systems with matched and mismatched disturbances..Int. J. Dyn. Control 9 (2021), 671-678. |
| Reference:
|
[18] Shafei, H. R., Bahrami, M., Talebi, H. A.: Disturbance observer-based two-layer control strategy design to deal with both matched and mismatched uncertainties..Int. J. Robust Nonlin. 31 (2021), 1640-1656. |
| Reference:
|
[19] Shen, Y., Lin, L.: Adaptive output feedback stabilization for nonlinear systems with unknown polynomial-of-output growth rate and sensor uncertainty..Kybernetika 58 (2022), 637-660. |
| Reference:
|
[20] Shen, Y., Ma, C., Zhao, C., Wu, Z.: Neural network-based fault diagnosis and fault-tolerant control for nonlinear systems with output measurement noise..Kybernetika 60 (2024), 244-270. |
| Reference:
|
[21] Song, Z., Li, P.: Fixed-time adaptive command-filter-based event-triggered control of constrained switched nonlinear systems with unmodeled dynamics..Kybernetika 61 (2025), 32-57. |
| Reference:
|
[22] Su, X., Chen, C. L. P., Liu, Z.: Adaptive fuzzy control for uncertain nonlinear systems subject to full state constraints and actuator faults..Inform. Sci. 581 (2021), 553-566. |
| Reference:
|
[23] Sun, H., Guo, L.: Neural network-based DOBC for a class of nonlinear systems with unmatched disturbances..IEEE Trans. Neur. Net. Lear. 28 (2016), 482-489. |
| Reference:
|
[24] Sun, H., Li, S., Yang, J., Zheng, W. X.: Global output regulation for strict-feedback nonlinear systems with mismatched nonvanishing disturbances..Int. J. Robust Nonlin. 25 (2015), 2631-2645. |
| Reference:
|
[25] Wang, Y., Zhan, X., Li, X., Jiang, Y., Tang, X., Wang, Y.: Finite-time disturbance observer-based sliding mode control for a vehicle platoon subject to mismatched disturbance..Appl. Sci. 15 (2025), 6327. |
| Reference:
|
[26] Xu, X., Zeng, Z.: Homogeneous domination-based composite adaptive control strategy for perturbed chain of integrators with mismatched disturbances..Nonlinear Dynam. 112 (2024), 15399-15411. |
| Reference:
|
[27] Yang, T., Sun, N., Fang, Y.: Adaptive fuzzy control for a class of MIMO underactuated systems with plant uncertainties and actuator deadzones: Design and experiments..IEEE Trans. Cybernet. 52 (2021), 8213-8226. |
| Reference:
|
[28] Yang, S. H., Sun, Z. Y., Wang, Z., Li, T.: A new approach to global stabilization of high-order time-delay uncertain nonlinear systems via time-varying feedback and homogeneous domination..J. Franklin Inst. 355 (2018), 6469-6492. |
| Reference:
|
[29] Yang, Y., Zhang, J., Huang, M., Tan, X.: Disturbance observer-based event-triggered control of switched positive systems..IEEE T. Circuits - II 71 (2023), 1191-1195. |
| Reference:
|
[30] Zhang, C., Yang, J., Li, S.: Homogeneous active disturbance attenuation for a perturbed chain of integrators..IFAC-PapersOnLine 49 (2016), 534-539. |
| Reference:
|
[31] Zhou, F., Shen, Y., Wu, Z.: Non-fragile observers design for nonlinear systems with unknown Lipschitz constant..Kybernetika 60 (2024), 475-491. |
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