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Adaptive Neural Control of MIMO Nonstrict-Feedback Nonlinear Systems With Time Delay
Abstract
In this paper, an adaptive neural output-feedback tracking controller is designed for a class of multiple-input and multiple-output nonstrict-feedback nonlinear systems with time delay. The system coefficient and uncertain functions of our considered systems are both unknown. By employing neural networks to approximate the unknown function entries, and constructing a new input-driven filter, a backstepping design method of tracking controller is developed for the systems under consideration. The proposed controller can guarantee that all the signals in the closed-loop systems are ultimately bounded, and the time-varying target signal can be tracked within a small error as well. The main contributions of this paper lie in that the systems under consideration are more general, and an effective design procedure of output-feedback controller is developed for the considered systems, which is more applicable in practice. Simulation results demonstrate the efficiency of the proposed algorithm.
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“Traditional methods based on Lyapunov-Krasovskii functionals are generally less effective in managing input delays compared to state delays [25][26][27].”
From Fixed-Time Adaptive Control for Nonstrict-Feedback Nonlinear Systems with Input Delay and Unknown Backlash-Like Hysteresis (2025) · cites this paper as [25]
Citations
Cites
Dynamic surface control for a class of nonlinear systems
Swaroop, D., Hedrick, J. K., Yip, P. P., & Gerdes, J. C. (2000) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2000.880994 · Cited by 2,454
A Review on Basic Data-Driven Approaches for Industrial Process Monitoring
Yin, S., Ding, S. X., Xie, X., & Luo, H. (2014) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2014.2301773 · Cited by 1,724
Wang, D., & Huang, J. (2005) · IEEE Transactions on Neural Networks · doi:10.1109/tnn.2004.839354 · Cited by 1,267
Chen, M., Ge, S. S., & How, B. V. E. (2010) · IEEE Transactions on Neural Networks · doi:10.1109/tnn.2010.2042611 · Cited by 733
Wang, T., Gao, H., & Qiu, J. (2015) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2015.2411671 · Cited by 636
Tong, S., Sui, S., & Li, Y. (2014) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2014.2327987 · Cited by 554
Tong, S., Li, Y., Feng, G., & Li, T. (2011) · IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics) · doi:10.1109/tsmcb.2011.2108283 · Cited by 498
Robust and Adaptive Backstepping Control for Nonlinear Systems Using RBF Neural Networks
Li, Y., Qiang, S., Zhuang, X., & Kaynak, O. (2004) · IEEE Transactions on Neural Networks · doi:10.1109/tnn.2004.826215 · Cited by 456
Wang, H., Chen, B., Liu, X., Liu, K., & Lin, C. (2013) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2013.2240296 · Cited by 445
Adaptive Fuzzy Control of a Class of Nonlinear Systems by Fuzzy Approximation Approach
Chen, B., Liu, X. P., Ge, S. S., & Lin, C. (2012) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2012.2190048 · Cited by 428
Cited by
Sorted by citations
Yu, J., Zhao, L. H., Yu, H., & Lin, C. (2019) · Automatica · doi:10.1016/j.automatica.2019.03.022 · Cited by 285
Yu, J., Shi, P. J., Lin, C., & Yu, H. (2019) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2019.2901250 · Cited by 228
Adaptive Fuzzy Prescribed Performance Control of Nontriangular Structure Nonlinear Systems
Li, Y., Shao, X., & Tong, S. (2019) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2019.2937046 · Cited by 211
“In addition, there exists another strict limit in the nontriangular structure nonlinear systems [21]–[28], i.e., in the last equation of the controlled systems, the control input u appears as an affine variable ( ˙ x n = f n (¯ x n ) + g n (¯ x n ) u ).”
BackgroundInfluentialWu, J., Chen, X., Zhao, Q., Li, J., & Wu, Z. (2020) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2020.3012607 · Cited by 209
Zhao, X., Yang, H., Xia, W., & Wang, X. (2016) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2016.2594273 · Cited by 203
“Then, in [9], the research is extended to multiinput multioutput (MIMO) nonstrict-feedback nonlinear systems.”
MethodSelf-citationWang, H., Liu, P. X., & Shi, P. J. (2017) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2017.2655501 · Cited by 189
Adaptive Neural Control of Nonlinear Systems With Unknown Control Directions and Input Dead-Zone
Wang, H., Karimi, H. R., Liu, P. X., & Yang, H. (2017) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2017.2709813 · Cited by 184
Self-citationFei, Z., Guan, C., & Gao, H. (2017) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2017.2700321 · Cited by 183
“However, due to the limitation of network communication capacity and bandwidth, congestion and time delay may occur in the network channels [27]–[30].”
Li, Y., & Tong, S. (2016) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2016.2600263 · Cited by 173
“Compared with the results of [27]–[34], the main contributions of this paper can be summarized as follows.”
BackgroundMethodResultInfluentialWang, H., Kang, S., Zhao, X., Xu, N., & Li, T. (2021) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2021.3079129 · Cited by 172
Self-citationReduced Adaptive Fuzzy Decoupling Control for Lower Limb Exoskeleton
Sun, W., Lin, J.-W., Su, S., Wang, N., & Er, M. J. (2020) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2020.2972582 · Cited by 169
“nonlinear time-delay systems in [31] and [32].”
Li, D., & Li, D. (2018) · Automatica · doi:10.1016/j.automatica.2018.03.063 · Cited by 130
Novel Adaptive Fuzzy Control for Output Constrained Stochastic Nonstrict Feedback Nonlinear Systems
Sun, W., Su, S., Wu, Y., & Xia, J. (2020) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2020.2969909 · Cited by 125
Adaptive Neural Event-Triggered Control for Discrete-Time Strict-Feedback Nonlinear Systems
Wang, M., Wang, Z., Chen, Y., & Sheng, W. (2019) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2019.2921733 · Cited by 123
“In contrast to the fruitful results on continuous-time strict-feedback nonlinear systems [1]–[3], [13], [17]–[19], [36], [42], [55], the corresponding results on the discrete-time counterpart have been relatively few despite the popularity of nowadays digitalization process [52]–[54].”
ResultContinuous finite‐time control for uncertain robot manipulators with integral sliding mode
Zhang, L., Liu, L., Wang, Z., & Xia, Y. (2018) · IET Control Theory and Applications · doi:10.1049/iet-cta.2017.1361 · Cited by 121
Qiu, J., Ma, M., & Wang, T. (2020) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2020.3013744 · Cited by 110
Adaptive Finite-Time Fuzzy Funnel Control for Nonaffine Nonlinear Systems
Liu, C., Wang, H., Liu, X., & Zhou, Y. (2019) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2019.2917547 · Cited by 100
Dynamic Stability Enhancement Using Fuzzy PID Control Technology for Power System
Eltag, K., Aslamx, M. S., & Ullah, R. (2019) · International Journal of Control Automation and Systems · doi:10.1007/s12555-018-0109-7 · Cited by 96
Observer-Based Adaptive Consensus for a Class of Nonlinear Multiagent Systems
Mao, J., Karimi, H. R., & Xiang, Z. (2017) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2017.2776219 · Cited by 95
“Remark 3: In [44]–[48], the time-varying control coefficients gi(x̄i), i = 1, 2, .”
BackgroundSelf-citationAdaptive dynamic surface asymptotic tracking for a class of uncertain nonlinear systems
Liu, Y. (2017) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.3947 · Cited by 92
“The virtual control law αi and the update law for θ̂i are designed as αi = 1 gi ⎜⎜⎜⎝−kizi − 2gi−1zi−1 − θ̂i fi − M̂2 i−1ei−1 √ M̂2 i−1e 2 i−1 + σ2(t) − ei−1 τi−1 ⎟⎟⎟⎠ (12)”
Wang, X., Wang, Q., & Sun, C. (2021) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2021.3057482 · Cited by 87
Han, H., Wu, X., Zhang, L., Tian, Y., & Qiao, J. (2017) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2017.2764744 · Cited by 84
“2764744 networks (ANNs) have been widely developed to solve nonlinear and complex systems [1]–[3].”
BackgroundShojaei, F., Arefi, M. M., Khayatian, A., & Karimi, H. R. (2018) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2018.2852725 · Cited by 82
“For example, in [31], a neuro-adaptive output-feedback controller has been designed for a class of MIMO nonstrict-feedback nonlinear time-delay systems.”
BackgroundSelf-citationCheng, F., Wang, H., Zhang, L., Ahmad, A. M., & Xu, N. (2022) · Neurocomputing · doi:10.1016/j.neucom.2022.05.082 · Cited by 73
Adaptive Control of DC Motor Servo System With Application to Vehicle Active Steering
Wang, X., Wang, W., Li, L., Shi, J., & Xie, B. (2019) · IEEE/ASME Transactions on Mechatronics · doi:10.1109/tmech.2019.2906250 · Cited by 71
“It is well known that adaptive control is a promising tool to handle various system uncertainties [13], [14], including parametric uncertainties [15]–[17], uncertain nonsmooth nonlinearities [18]–[20], time delay [21]–[23], and unknown disturbances [24]–[26].”
BackgroundLv, M., Yu, W., & Baldi, S. (2019) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2019.2895101 · Cited by 70
“Lemma 1 [24]: The hyperbolic tangent function fulfills the following inequality for ∀ς > 0 and any q ∈ R: 0 ≤ |q| − q tanh(q/ς) ≤ 0.”
Leader–Follower Consensus of Multiagent Systems With Energy Constraints: A Markovian System Approach
Zhang, D., Xu, Z., Srinivasan, D., & Yu, L. J. (2017) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2017.2677471 · Cited by 69
Ma, H., Liang, H., Ma, H., & Zhou, Q. F. (2018) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.4315 · Cited by 68
“The actual control is chosen as v(t) = N(ξn)?̄?n, (14) where ?̄?n = [ mn + 1 2 β2 n−1 + 1 4 + 1 4 n−1 ∑ L=1 ( ∂αn−1 ∂XL )2] εn + ?̂?1nψ1n(Xn)∕βn − wn−1 − ∂αn−1 ∂̂ δn + [ ̂ − λ (n−2 ∑”
BackgroundYang, Y., Liu, Q., Yue, D., & Han, Q. (2021) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2020.3045026 · Cited by 57
Wu, J. M., Li, J., & Chen, W. (2017) · Information Sciences · doi:10.1016/j.ins.2017.08.085 · Cited by 54
Kong, J., Niu, B., Wang, Z., Zhao, P., & Qi, W. (2021) · International Journal of Systems Science · doi:10.1080/00207721.2021.1909775 · Cited by 53
Song, Y., Shen, Z., He, L., & Huang, X. (2017) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2017.2759498 · Cited by 50
“The adaptive NN controllers are designed for nonlinear MIMO systems with unmodeled uncertainties [5] and with time delay [6]–[7].”
BackgroundAdaptive quantized fuzzy control of stochastic nonlinear systems with actuator dead-zone
Wang, F., Liu, Z., Zhang, Y., & Chen, C. L. P. (2016) · Information Sciences · doi:10.1016/j.ins.2016.07.070 · Cited by 49
Zheng, M., Li, L., Peng, H., Xiao, J., Yang, Y., & Zhao, H. Y. (2017) · Neurocomputing · doi:10.1016/j.neucom.2017.01.037 · Cited by 48
Mir, A. S., & Senroy, N. (2019) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2019.2899904 · Cited by 47
Chen, W., Niu, B., Wang, H., Li, H., & Wang, D. (2023) · IEEE Transactions on Automation Science and Engineering · doi:10.1109/tase.2023.3292367 · Cited by 46
“Therefore, the methods of the obtained results [25], [26], where the conventional control designs applying exact states are developed, are not available for studying the system against malicious cyber-attacks.”
BackgroundMethodStochastic H∞ filtering for neural networks with leakage delay and mixed time-varying delays
Ali, M. S., Saravanakumar, R., Ahn, C. K., & Karimi, H. R. (2017) · Information Sciences · doi:10.1016/j.ins.2017.01.010 · Cited by 43
“The time delays that appear in the system can be constant or various [14–16].”
BackgroundSelf-citationTang, L. D., Ma, D., & Zhao, J. Y. (2018) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2018.2847283 · Cited by 43
Guo, R., Zhang, Z., Liu, X., Lin, C., Wang, H., & Chen, J. (2017) · Neurocomputing · doi:10.1016/j.neucom.2017.10.038 · Cited by 42
Analysis of stochastic delayed SIRS model with exponential birth and saturated incidence rate
Ali, I., & Khan, S. U. (2020) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2020.110008 · Cited by 41
Bifurcation analysis in a delayed fractional neural network involving self-connection
Huang, C., Li, Z., Ding, D., & Cao, J. (2018) · Neurocomputing · doi:10.1016/j.neucom.2018.06.016 · Cited by 39
Active Control of Uncertain Seat Suspension System Based on a State and Disturbance Observer
Lathkar, M., Shendge, P. D., & Phadke, S. B. (2017) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2017.2734121 · Cited by 38
Wang, M., Zhang, Y., & Wang, C. (2018) · International Journal of Control · doi:10.1080/00207179.2018.1558285 · Cited by 38
Event-Based $H_{\infty}$ Fault Detection for Buck Converter With Multiplicative Noises Over Network
Yan, H., Zhang, H., Zhan, X., Li, Z., & Yang, C. (2019) · IEEE Transactions on Circuits and Systems I Regular Papers · doi:10.1109/tcsi.2018.2890527 · Cited by 37
Improved ant colony optimization algorithm and its application to solve pipe routing design
Wu, L., Tian, X. M., Wang, H., Liu, Q., & Xiao, W. (2019) · Assembly Automation · doi:10.1108/aa-02-2018-022 · Cited by 36
Dissipative output feedback control for semi-Markovian jump systems under hybrid cyber-attacks
Zhang, H., He, X., Minchala, L. I., & Shi, P. J. (2021) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2021.01.027 · Cited by 36
Tang, L. D., & Li, D. (2019) · International Journal of Control Automation and Systems · doi:10.1007/s12555-018-0745-y · Cited by 35
Niu, H., Yu, J., Yu, H., Lin, C., & Zhao, L. H. (2017) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2017.08.021 · Cited by 31
Real-Time SOSM Super-Twisting Combined With Block Control for Regulating Induction Motor Velocity
Morfin, O. A., Valenzuela, F. A., Betancour, R. R., Castaneda, C. E., Ruíz-Cruz, R., & Valderrábano‐González, A. (2018) · IEEE Access · doi:10.1109/access.2018.2812187 · Cited by 30
A comparative study of DC servo motor parameter estimation using various techniques
Batool, A., Ain, N. U., Amin, A. A., Adnan, M., & Shahbaz, M. H. (2022) · Automatika · doi:10.1080/00051144.2022.2036935 · Cited by 28
Li, Z., Cao, G., Xie, W., Gao, R., & Zhang, W. (2022) · Information Sciences · doi:10.1016/j.ins.2022.11.094 · Cited by 27
Yi, J., Li, J., & Li, J. (2018) · International Journal of Fuzzy Systems · doi:10.1007/s40815-018-0475-6 · Cited by 27
“Therefore, how to control the time-delay systems has been an active research topic for decades [40–44 , 51– 65 ].”
BackgroundRobust adaptive control for a class of semi‐strict feedback systems with state and input constraints
Zhang, Z., Duan, G., & Hu, Y. (2018) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.4069 · Cited by 27
Chen, L. (2018) · International Journal of Adaptive Control and Signal Processing · doi:10.1002/acs.2921 · Cited by 27
“where ρ1 = min{2mκ1, π1, 2l1} > 0 (49) ν1 = ε(2)1 2 + M 2 1 2 + 1 2 θ∗2 1 (50)”
Motion Planning of Robot Manipulator Based on Improved NSGA-II
Huang, Y., & Fei, M. (2018) · International Journal of Control Automation and Systems · doi:10.1007/s12555-016-0693-3 · Cited by 25
Cui, Y., Liu, X.-P., Deng, X., & Wang, Q. (2021) · International Journal of Fuzzy Systems · doi:10.1007/s40815-020-01004-7 · Cited by 24
Chien, Y., Chen, J.-W., & Xu, S. S. (2018) · IEEE Access · doi:10.1109/access.2018.2825239 · Cited by 23
Wu, S., Zhang, J., & Chai, B. (2018) · Asian Journal of Control · doi:10.1002/asjc.1798 · Cited by 22
Kamali, S., Tabatabaei, S. M., Arefi, M. M., & Jahed‐Motlagh, M. R. (2019) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.4468 · Cited by 22
“Substituting (36)-(39) into (35) results in V̇e ≤ eT ( A T P + PA + P + (b1 + b2 + b4)I ) e − n‖P‖ n ∑”
Liu, W., Lim, C., Shi, P. J., & Xu, S. (2016) · International Journal of Control · doi:10.1080/00207179.2016.1250162 · Cited by 22
“1 (Zhao et al., 2016): For unknown function Fi, j(z̄i, j + ᾱi, j−1 + ēi, j), there exist positive unknown smooth functions βi, jl (z̄i, j + ᾱi, j−1 + ēi, j) such that”
BackgroundMethodInfluentialXi, C., & Dong, J. (2018) · Fuzzy Sets and Systems · doi:10.1016/j.fss.2018.12.003 · Cited by 22
Li, S., An, X., Ding, L., Wang, Q., Gao, H., Hou, Y., & Deng, Z. (2019) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2019.2944275 · Cited by 22
“Inthe future research work, the author will fully consider the influence of the constraint [54] or time delay [55] on the target system based on the research of this article, and overcome or effectively suppress the impact caused by the corresponding technical means, and finally realize finite-time…”
BackgroundWang, P., Zhang, D., & Lu, B. (2019) · Industrial Robot the international journal of robotics research and application · doi:10.1108/ir-04-2019-0074 · Cited by 22
Adaptive finite-time control of a class of non-triangular nonlinear systems with input saturation
Cai, M., & Xiang, Z. (2016) · Neural Computing and Applications · doi:10.1007/s00521-016-2540-0 · Cited by 21
“In [32], NNs were used to approximate the unknown functions and an adaptive tracking controller was developed for a class of MIMO non-strict feedback systems by constructinga input-driven filter.”
BackgroundMethodDai, A., Zhou, X., Dang, H., Sun, M., & Wu, Z. (2018) · IEEE Access · doi:10.1109/access.2018.2806370 · Cited by 21
“For instance the ANN application in the wind turbine control shown in [18], and in [19] an adaptive fuzzy control method is presented for a class of nonaffine stochastic nonlinear systems via backstepping; in [20] an observer-based fuzzy output feedback control algorithm is proposed by using backstepping and fuzzy sys…”
MethodXu-dong, L., Chen, X., & Zhou, C. (2018) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2018.05.050 · Cited by 21
Xin-jun, W., Yin, X., Wu, Q., & Meng, F. (2018) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.4303 · Cited by 20
“Then, other works 16 - 19 extended the research to multiple-input–multiple-output nonlinear systems.”
BackgroundZhang, A., Lv, B. C., Zhang, C. Z., & She, D. Z. (2017) · IEEE Access · doi:10.1109/access.2017.2745701 · Cited by 19
“In the recent references [12], [13], the authors not only focus on the nonlinear Hamiltonian multi-input multi-output systems but also focus on a class of uncertain nonlinear systems, the uncertainty of the system are all dealt with adaptive tracking control.”
BackgroundWang, X., Yin, X., & Shen, F. (2018) · Neurocomputing · doi:10.1016/j.neucom.2018.02.082 · Cited by 19
A Runge–Kutta neural network-based control method for nonlinear MIMO systems
Uçak, K. (2018) · Soft Computing · doi:10.1007/s00500-018-3405-5 · Cited by 19
Zhang, X., Lan, J., Liu, Y., & Liu, L. (2021) · IET Control Theory and Applications · doi:10.1049/cth2.12183 · Cited by 17
Ye, D., Wang, K., Yang, H., & Zhao, X. (2020) · International Journal of Adaptive Control and Signal Processing · doi:10.1002/acs.3172 · Cited by 17
Self-citationVan, M., & Phu, D. X. (2020) · European Journal of Control · doi:10.1016/j.ejcon.2019.12.005 · Cited by 16
Ji, N., & Liu, J. (2019) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.4658 · Cited by 16
“In the work of Zhao et al, 30 an adaptive neural output-feedback tracking controller is developed for a class of MIMO nonstrict-feedback nonlinear systems with time delay and unknown function entries are approximated by employing neural networks.”
MethodSu, H., & Zhang, W. (2018) · Nonlinear Dynamics · doi:10.1007/s11071-018-4645-8 · Cited by 15
Yang, Y., Yu, Z., Li, S., & Sun, J. (2017) · Neurocomputing · doi:10.1016/j.neucom.2017.12.023 · Cited by 15
Cao, X., Gu, L., Qiu, H., Lai, C., & Qin, Y. (2017) · Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering · doi:10.1177/0959651817731250 · Cited by 15
“Then, the error term in equation (7) can be replaced by contour error term”
BackgroundConsensus of Multi-agent Systems with Feedforward Nonlinear Dynamics and Digraph
Yu, S., Jiang, H., Yu, Z., & Hu, C. (2018) · International Journal of Control Automation and Systems · doi:10.1007/s12555-017-0702-1 · Cited by 14
Predictor-Based Neural Dynamic Surface Control of a Nontriangular System With Unknown Disturbances
Yang, Y., Chen, D., Liu, Q., Zhang, T., Liu, A., & Yue, W. (2022) · IEEE Transactions on Circuits and Systems I Regular Papers · doi:10.1109/tcsi.2022.3166988 · Cited by 14
Yoo, S. J. (2016) · International Journal of Systems Science · doi:10.1080/00207721.2016.1256450 · Cited by 13
“1 for nonstrict-feedback nonlinear systems are not provided in existing literatures (Bechlioulis & Rovithakis, 2009, 2014; Chen et al., 2012, 2014, 2016;Hua et al., 2016; Li & Tong, 2015, 2016a, 2016b; Liu et al., 2014; Theodorakopoulos & Rovithakis, 2015; Tong et al., 2015; Wang et al., 2014, 2016a, 2016b, 2015; Yu e…”
BackgroundMethodInfluentialChen, C., Tang, Y., Wu, L., Lu, M. L., Zhan, X., Li, X., Huang, C., & Gui, W. (2018) · IEEE Access · doi:10.1109/access.2018.2889969 · Cited by 13
“In [21], [29], and [33], the virtual control coefficients φi is an unknown constant.”
BackgroundYang, Y., Xu, C., Fan, X., Yue, D., Zhang, T., & Hou, X. (2020) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2019.12.025 · Cited by 13
Askari, M. R., Shahrokhi, M., Talkhoncheh, M. K., & Moradvandi, A. (2020) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2020.05.006 · Cited by 13
Shi, X., Lim, C., Xu, S., & Shi, P. J. (2018) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.4081 · Cited by 13
“Putting together (28), (29), (30), and (31) yields V̇ei ≤ ei [ 3n 2 ei + i−1 ∑”
Funnel tracking control for nonlinear servo drive systems with unknown disturbances
Wang, S., Li, S., Chen, Q., Ren, X., & Yu, H. (2021) · ISA Transactions · doi:10.1016/j.isatra.2021.08.047 · Cited by 12
Finite-Time Stability of Large-Scale Systems with Interval Time-Varying Delay in Interconnection
La-inchua, T., Niamsup, P., & Liu, X. (2017) · Complexity · doi:10.1155/2017/1972748 · Cited by 11
Shi, X., Xu, S., Chen, W., Li, Y., & Zhang, Z. (2017) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2017.10.011 · Cited by 11
Bai, L., & Gao, Z. (2019) · Journal of Control Automation and Electrical Systems · doi:10.1007/s40313-019-00498-3 · Cited by 11
Lee, S.-D., & Jung, S. (2018) · International Journal of Control Automation and Systems · doi:10.1007/s12555-017-0187-y · Cited by 11
Control of twin-double pendulum lower extremity exoskeleton system with fuzzy logic control method
Tanyıldızı, A. K., Yakut, O., Taşar, B., & Tatar, A. B. (2021) · Neural Computing and Applications · doi:10.1007/s00521-020-05554-7 · Cited by 10
Lin, Q., Zhou, P., & Duan, D. (2022) · Transactions of the Institute of Measurement and Control · doi:10.1177/01423312221124648 · Cited by 10
“The control problem of time delay has attracted the attention of many researchers (Li et al., 2019b; Liu et al., 2014; Wang et al., 2015; Xia et al., 2019, 2020, 2021a; Zhao et al., 2016).”
BackgroundLv, G., Shan, Y., Li, F., & Zhang, Y. (2025) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2025.107751 · Cited by 9
Liu, W., Lu, J., Zhang, Z., & Xu, S. (2016) · IET Control Theory and Applications · doi:10.1049/iet-cta.2016.0789 · Cited by 9
Du, P., Liang, H., Huang, T., & Li, T. (2019) · Neurocomputing · doi:10.1016/j.neucom.2019.07.067 · Cited by 9
Command filtered event‐triggered adaptive control for MIMO stochastic multiple time‐delay systems
Zhu, Z., Liang, H., Liu, Y., & Xue, H. (2021) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.5868 · Cited by 9
Finite‐time exact tracking control for a class of non‐linear dynamical systems
Hussian, A., Zhao, X., & Zong, G. (2017) · IET Control Theory and Applications · doi:10.1049/iet-cta.2017.0093 · Cited by 9
Self-citationAdaptive fuzzy constraint control for switched nonlinear systems in nonstrict feedback form
Tang, L. D., Yang, M., & Sun, J.-G. (2021) · International Journal of Adaptive Control and Signal Processing · doi:10.1002/acs.3277 · Cited by 8
Liu, Z., Sun, W., & Zhang, W. (2021) · ISA Transactions · doi:10.1016/j.isatra.2021.11.007 · Cited by 8
Yang, Y., Chen, D., Yue, W., & Liu, Q. (2022) · ISA Transactions · doi:10.1016/j.isatra.2022.02.030 · Cited by 8
Duan, C., & Tian, M. (2024) · IEEE Access · doi:10.1109/access.2024.3360107 · Cited by 7
“Aswe all know, the network bandwidth is limited [25], [26], therefore, in order to avoid unnecessary waste of resources and reduce network load capacity, the event-triggered mechanism [27] was proposed as a powerful tool and has become a subject of intense research activities [28], [29], [30],…”
Background
Metadata
- Authors
- Zhao, X., Yang, H., Karimi, H. R., & Zhu, Y.
- Affiliations
- Bohai University (CN)
- University of Agder (NO)
- Harbin Institute of Technology (CN)
- Venue
- IEEE Transactions on Cybernetics
- Published
- 2016-06
- Volume
- 46
- Issue
- 6
- Pages
- 1337-1349
- ISSN
- 2168-2267 (ISSN-L)
- 2168-2275
- OpenAlex
- W2353924536
- Cited by
- 130
- References
- 44
- Citations by year
- 2025: 2 · 2024: 2 · 2023: 2 · 2022: 8 · 2021: 15 · 2020: 11 · 2019: 23 · 2018: 30 · 2017: 30 · 2016: 7
- FWCI
- 20.68
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEEE Transactions on Cybernetics (publishedVersion)
- PubMed (publishedVersion)
- Virtual Community of Pathological Anatomy (University of Castilla La Mancha) (submittedVersion)
- Funders
- National Natural Science Foundation of China (61203123, 61333012)
- Liaoning Excellent Talents in University (LR2014035)
- Shandong Provincial Natural Science Foundation, China (ZR2012FQ019)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Adaptive Control of Nonlinear Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Neural Networks Stability and Synchronization
- Keywords
- adaptive neural network control, MIMO nonlinear systems, nonstrict-feedback systems, time delay, output feedback tracking control, backstepping design, neural network approximation, ultimate boundedness
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