Hostname: page-component-669899f699-7xsfk Total loading time: 0 Render date: 2025-04-24T18:18:43.076Z Has data issue: false hasContentIssue false

Full-state-constrained intelligent adaptive control for nonlinear systems with unmodeled dynamics and mismatched disturbances

Published online by Cambridge University Press:  06 December 2024

Y. Yin
Affiliation:
National Key Laboratory of Aerospace Flight Dynamics, Northwestern Polytechnical University, Xi’an, China School of Astronautics, Northwestern Polytechnical University, Xi’an, China
X. Ning
Affiliation:
National Key Laboratory of Aerospace Flight Dynamics, Northwestern Polytechnical University, Xi’an, China School of Astronautics, Northwestern Polytechnical University, Xi’an, China
Z. Wang*
Affiliation:
National Key Laboratory of Aerospace Flight Dynamics, Northwestern Polytechnical University, Xi’an, China Research Center for Unmanned System Strategy Development, Northwestern Polytechnical University, Xi’an, China Northwest Institute of Mechanical and Electrical Engineering, Xianyang, China Unmanned System Research Institute, Northwestern Polytechnical University, Xi’an, China
R. Li
Affiliation:
AECC South Industry Company Limited, Zhuzhou, China
*
Corresponding author: Z. Wang; Email: wz_nwpu@126.com

Abstract

This paper develops a novel full-state-constrained intelligent adaptive control (FIAC) scheme for a class of uncertain nonlinear systems under full state constraints, unmodeled dynamics and external disturbances. The key point of the proposed scheme is to appropriately suppress and compensate for unmodeled dynamics that are coupled with other states of the system under the conditions of various disturbances and full state constraints. Firstly, to guarantee that the time-varying asymmetric full state constraints are obeyed, a simple and valid nonlinear error transformation method has been proposed, which can simplify the constrained control problem of the system states into a bounded control problem of the transformed states. Secondly, considering the coupling relationship between the unmodeled dynamics and other states of the controlled system such as system states and control inputs, a decoupling approach for coupling uncertainties is introduced. Thereafter, owing to the employed dynamic signal and bias radial basis function neural network (BIAS-RBFNN) improved on traditional RBFNN, the adverse effects of unmodeled dynamics on the controlled system can be suppressed appropriately. Furthermore, the matched and mismatched disturbances are reasonably estimated and circumvented by a mathematical inequality and a disturbance observer, respectively. Finally, numerical simulations are provided to demonstrate the effectiveness of the proposed FIAC strategy.

Type
Research Article
Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of Royal Aeronautical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

Liu, L., Li, X., Liu, Y. and Tong, S. Neural network based adaptive event trigger control for a class of electromagnetic suspension systems, Control Eng. Pract., 2021, 106, p 104675.Google Scholar
Li, D., Chen, C., Liu, Y. and Tong, S. Neural network controller design for a class of nonlinear delayed systems with time-varying full-state constraints, IEEE Trans. Neural Netw. Learn. Syst., 2019, 30, (9), pp 26252636.Google ScholarPubMed
Luo, X., Mu, D., Wang, Z., Ning, P. and Hua, C. Adaptive full-state constrained tracking control for mobile robotic system with unknown dead-zone input, Neurocomputing, 2023, 524, pp 3142.Google Scholar
Wang, J., Yan, Y., Liu, Z., Chen, C., Zhang, C. and Chen, K. Finite-time consensus control for multi-agent systems with full-state constraints and actuator failures, Neural Netw., 2023, 157, pp 350363.Google ScholarPubMed
Niu, B., Zhang, Y., Zhao, X., Wang, H. and Sun, W. Adaptive predefined-time bipartite consensus tracking control of constrained nonlinear MASs: An improved nonlinear mapping function method, IEEE Trans. Cybern., 2023, 53, (9), pp 60176026.Google ScholarPubMed
Liu, L., Liu, Y., Chen, A., Tong, S. and Chen, C. Integral barrier Lyapunov function-based adaptive control for switched nonlinear systems, Sci. China Inf. Sci., 2020, 63, (3), pp 114.Google Scholar
Liu, H., Zhao, S., He, W. and Lu, R. Adaptive finite-time tracking control of full state constrained nonlinear systems with dead-zone, Automatica, 2019, 100, pp 99107.Google Scholar
Wang, C., Wu, Y., Wang, F. and Zhao, Y. TABLF-based adaptive control for uncertain nonlinear systems with time-varying asymmetric full-state constraints, Int. J. Control, 2021, 94, (5), pp 12381246.Google Scholar
Hua, C., Jiang, A. and Li, K. Adaptive neural network finite-time tracking quantized control for uncertain nonlinear systems with full-state constraints and applications to QUAVs, Neurocomputing, 2021, 440, pp 264274.CrossRefGoogle Scholar
Xia, D., Yue, X. and Wen, H. Output feedback tracking control for rigid body attitude via immersion and invariance angular velocity observers, Int. J. Adapt. Control Signal Process., 2020, 34, (12), pp 18121830.Google Scholar
Wang, B., Yu, X., Mu, L. and Zhang, Y. Disturbance observer-based adaptive fault-tolerant control for a quadrotor helicopter subject to parametric uncertainties and external disturbances, Mech. Syst. Sig. Process., 2019, 120, pp 727743.Google Scholar
Cao, L., Xiao, B. and Golestani, M. Robust fixed-time attitude stabilization control of flexible spacecraft with actuator uncertainty, Nonlinear Dyn., 2020, 100, (3), pp 25052519.CrossRefGoogle Scholar
Liang, Z., Zhao, J., Dong, Z., Wang, Y. and Ding, Z. Torque vectoring and rear-wheel-steering control for vehicle’s uncertain slips on soft and slope terrain using sliding mode algorithm, IEEE Trans. Veh. Technol., 2020, 69, (4), pp 38053815.CrossRefGoogle Scholar
Huang, J., Ri, S., Fukuda, T. and Wang, Y. A disturbance observer based sliding mode control for a class of underactuated robotic system with mismatched uncertainties, IEEE Trans. Autom. Control, 2018, 64, (6), pp 24802487.Google Scholar
Han, J., Kim, T., Oh, T. and Lee, S. Effective disturbance compensation method under control saturation in discrete-time sliding mode control, IEEE Trans. Ind. Electron., 2019, 67, (7), pp 56965707.CrossRefGoogle Scholar
Ran, M., Wang, Q., Dong, C. and Xie, L. Active disturbance rejection control for uncertain time-delay nonlinear systems, Automatica, 2020, 112, (7), p 108692.Google Scholar
Zhang, Y., Chen, Z., Zhang, X., Sun, Q. and Sun, M. A novel control scheme for quadrotor UAV based upon active disturbance rejection control, Aerosp. Sci. Technol., 2018, 79, pp 601609.Google Scholar
Ahi, B. and Haeri, M. Linear active disturbance rejection control from the practical aspects, IEEE/ASME Trans. Mechatron., 2018, 23, (6), pp 29092919.Google Scholar
Sun, S., Ren, T. and Wei, X. Composite DOBC with fuzzy fault-tolerant control for stochastic systems with unknown nonlinear dynamics, Int. J. Robust Nonlinear Control, 2019, 29, (18), pp 66056615.CrossRefGoogle Scholar
Ma, J., Xu, S., Cui, G., Chen, W. and Zhang, Z. Adaptive backstepping control for strict-feedback non-linear systems with input delay and disturbances, IET Control Theory Appl., 2019, 13, (4), pp 506516.Google Scholar
Ma, Z. and Ma, H. Adaptive fuzzy backstepping dynamic surface control of strict-feedback fractional-order uncertain nonlinear systems, IEEE Trans. Fuzzy Syst., 2019, 28, (1), pp 122133.Google Scholar
Bu, X., He, G. and Wei, D. A new prescribed performance control approach for uncertain nonlinear dynamic systems via back-stepping, J. Frankl. Inst., 2018, 355, (17), pp 85108536.Google Scholar
Polycarpou, M. and Ioannou, P. A robust adaptive nonlinear control design, In 1993 American Control Conference, 1993, pp 1365–1369.CrossRefGoogle Scholar
Wang, Z., Yuan, Y. and Yang, H. Adaptive fuzzy tracking control for strict-feedback markov jumping nonlinear systems with actuator failures and unmodeled dynamics, IEEE Trans. Cybern., 2020, 50, (1), pp 126139.Google ScholarPubMed
Lavretsky, E. and Wise, K. Robust adaptive control, Robust Adap. Cont., 2013, pp 317353.CrossRefGoogle Scholar
Liu, Y., Zeng, Q., Tong, S., Chen, C. and Liu, L. Adaptive neural network control for active suspension systems with time-varying vertical displacement and speed constraints, IEEE Trans. Ind. Electron., 2019, 66, (12), pp 94589466.Google Scholar
Huang, X., Wen, C. and Song, Y. Adaptive neural control for uncertain constrained pure feedback systems with severe sensor faults: A complexity reduced approach, Automatica, 2023, 147, pp 110701.Google Scholar
Chen, P., Luan, X., Wang, Z., Zhang, T., Ge, Y and Liu, F. Adaptive neural optimal tracking control of stochastic nonstrict-feedback nonlinear systems with output constraints, J. Frankl. Inst., 2023, 360, (16), pp 1229912338.CrossRefGoogle Scholar
Ni, J. and Shi, P. Adaptive neural network fixed-time leader-follower consensus for multiagent systems with constraints and disturbances, IEEE Trans. Cybern., 2020, 51, (4), pp 18351848.CrossRefGoogle Scholar
Liu, Q., Li, D., Ge, S., Ji, R., Ouyang, Z. and Tee, K. Adaptive bias RBF neural network control for a robotic manipulator, Neurocomputing, 2021, 447, pp 213223.Google Scholar
Dai, S., Wang, C. and Luo, F. Identification and learning control of ocean surface ship using neural networks, IEEE Trans. Ind. Inf., 2012, 8, (4), pp 801810.Google Scholar
Cybenko, G. Approximation by superpositions of a sigmoidal function, Math. Control Signals Syst., 1989, 2, (4), pp 303314.CrossRefGoogle Scholar
Jiang, Z. and Praly, L. Design of robust adaptive controllers for nonlinear systems with dynamic uncertainties, Automatica, 1998, 34, (7), pp 825840.CrossRefGoogle Scholar