Abstract
This paper focuses on the adaptive control issue for a class of uncertain nonlinear systems subject to full state constraints and external disturbance. A novel adaptive nonlinear observer is proposed to compensate for disturbance variables in the transformed system. Combining with radial basis function neural networks (RBFNNs) and nonlinear mapping (NM) mechanism, the constrained system is transformed into an unconstrained form and the system uncertainties are effectively handled. Besides that, an adaptive tracking control approach is formulated by invoking backstepping techniques and the event-sampled scheme is utilized to address the sparsity of resources. The adaptive control problem can be addressed with the proposed algorithm, applying the Lyapunov functions, RBF NNs theory, and inequality techniques. Based on the Lyapunov stability theory, it is proved that the system can never violate the specified state constraints and all the closed-loop signals are semiglobally uniformly ultimately bounded (SGUUB). The validity of the proposed approach is well illustrated by a developed numerical example.
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References
Yang ZR. Bayesian radial basis function neural network. Lect Notes Artif Intell. 2005;3578:211–9.
Wang D, Huang J. Dynamic surface control for a class of nonlinear systems neural network-based adaptive dynamic surface control for a class of uncertain nonlinear systems in strict-feedback form. IEEE Trans Neural Netw. 2005;16(1):195–202.
Min HF, Xu SY, Fei SM, Yu X. Observer-based NN control for nonlinear systems with full-state constraints and external disturbances. IEEE Trans Neural Netw Learn Syst. Early Access. https://doi.org/10.1109/TNNLS.2021.3056524.
Zhang R, Li JM. Observer-based adaptive neural control for non-triangular form systems with input saturation and full state constraints. IEEE Access. 2019;7:6072–83.
Zhang Q, Dong JX. Disturbance-observer-based adaptive fuzzy control for nonlinear state constrained systems with input saturation and input delay. Fuzzy Sets Syst. 2020;392:77–92.
Zhang HF, Wei XJ, Zhang LY, Han J. Disturbance observer-based control for A class of strict-feedback nonlinear systems with derivative-bounded disturbances. Trans Inst Measure Control. 2020;42(14):2601–10.
Pang N, Wang X, Wang ZM. Observer-based event-triggered adaptive control for nonlinear multiagent systems with unknown states and disturbances. IEEE Trans Neural Netw Learn Syst. Early Access. https://doi.org/10.1109/TNNLS.2021.3133440.
Min HF, Xu SY, Fei SM, Yu X. Observer-based NN control for nonlinear systems with full-state constraints and external disturbances. IEEE Trans Netw Learn Syst. 2021.
Zhang Q, Zha D, Dong JX. Observer-based adaptive fuzzy decentralized control of uncertain large-scale nonlinear systems with full state constraints. Int J Fuzzy Syst. 2019;21(4):1085–103.
Zhang TP, Xia MZ, Yi Y, Shen QK. Adaptive neural dynamic surface control of pure-feedback nonlinear systems with full state constraints and dynamic uncertainties. IEEE Trans Syst Man Cybern Syst. 2017;47(8):2378–87.
Wang CX, Wu YQ, Zhang ZC. Tracking control for strict feedback nonlinear systems with time-varying full state constraints. Trans Inst Measure Control. 2018;40(14):3964–77.
Liu L, Li XS, Liu YJ, Tong SC. Neural network based adaptive event trigger control for A class of electromagnetic suspension systems. Control Eng Pract. 2021;106.
Liu L, Li XS. Event-triggered tracking control for active seat suspension systems with time-varying full-state constraints. IEEE Trans Syst Man Cybern Syst. 2022;52(1):582–90.
Liu L, Li XS, Liu YJ, Tong SC. Neural network based adaptive event trigger control for a class of electromagnetic suspension systems. Pract Control Eng. 2021.
Zhang YH, Sun J, Liang HJ, Li HY. Event-triggered adaptive tracking control for multiagent systems with unknown disturbances. IEEE Trans Cybern. 2020;50(3):890–901.
Xu ZB, Xie NG, Shen H, Hu XL, Liu QY. Extended state observer-based adaptive prescribed performance control for a class of nonlinear systems with full-state constraints and uncertainties. Nonlinear Dyn. 2021;105(1):345–58.
Hen M, Ge SS. Adaptive neural output feedback control of uncertain nonlinear systems with Unknown Hysteresis Using Disturbance Observer. IEEE Trans Ind Electron. 2015;62(12):7706–16.
Jiang Z-P, Hill DJ. A robust adaptive backstepping scheme for nonlinear systems with unmodeled dynamics. IEEE Trans Autom Control. 1999;44(9):1705–11.
Zhang TP, Xia XN, Zhu JM. Adaptive neural control of state delayed non-linear systems with unmodelled dynamics and distributed time-varying delays. IET Control Theory Appl. 2014;8(12):1071–82.
Tee KP, Ren BB, Ge SS. Control of nonlinear systems with time-varying output constraints. Automatica. 2011;47(11):2511–6.
Tee KP, Ge SS. Control of nonlinear systems with partial state constraints using a barrier Lyapunov function. Int J Control. 2011;84(12):2008–13.
Jiang Z-P, Praly L. Design of robust adaptive controllers for non-linear systems with dynamic uncertainties. Automatica. 1998;34(7):825–40.
Liang HJ, Liu GL, Zhang HG, Huang TW. Neural-network-based event-triggered adaptive control of nonaffine nonlinear multiagent systems with dynamic uncertainties. IEEE Trans Neural Netw Learn Syst. 2021;32(5):2239–50.
Zhang TP, Xia MZ, Yi Y, Shen QK. Adaptive neural dynamic surface control of pure-feedback nonlinear systems with full state constraints and dynamic uncertainties. IEEE Trans Syst Man Cybern Syst. 2017;47(8):2378–87.
Zhang YH, Sun J, Liang HJ, Li HY. Event-triggered adaptive control for a class of uncertain nonlinear systems. IEEE Trans Autom Contrd. 2017;62(4):2071–6.
Chen M, Ge SS. Adaptive neural output feedback control of uncertain nonlinear systems with unknown hysteresis using disturbance observer. IEEE Trans Ind Electron. 2015;62(12):7706–16.
Xing LT, Wen CY, Liu ZT, Su HY, Cai JP. Event-triggered adaptive control for a class of uncertain nonlinear systems. IEEE Trans Autom Contrd. 2017;62(4):2071–6.
Wang M, Zhang YL, Dong HF, Yu JZ. Trajectory tracking control of a bionic robotic fish based on iterative learning. Sci China Inf Sci. 2020;63(7).
Zheng JZ, Zhang TH, Wang C, Xiong ML, Xie GM. Learning for attitude holding of a robotic fish: an end-to-end approach with sim-to-real transfer. Ocean Eng. 2022;38(2):1287–303.
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This work was supported by the National Natural and Science Foundation of China 62276214.
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Wang, Z., Wang, H., Wang, X. et al. Event-Triggered Adaptive Neural Control for Full State-Constrained Nonlinear Systems with Unknown Disturbances. Cogn Comput 16, 717–726 (2024). https://doi.org/10.1007/s12559-023-10223-7
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DOI: https://doi.org/10.1007/s12559-023-10223-7