Adaptive neural control for switched nonlinear systems with unknown backlash-like hysteresis and output dead-zone
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When a system is influenced by hysteresis nonlinearity, it may exhibit undesirable inaccuracies, oscillations, and even instability, leading to severe consequences for the overall system performance.
“It is widely recognized that when a system is influenced by hysteresis nonlinearity, it may exhibit undesirable inaccuracies, oscillations, and even instability, leading to severe consequences for the overall system performance [14].”
From Fixed-Time Adaptive Control for Nonstrict-Feedback Nonlinear Systems with Input Delay and Unknown Backlash-Like Hysteresis (2025) · cites this paper as [14]
RBFNNs are employed to approximate completely unknown nonlinear functions.
“Since the nonlinear functions in (2.1) are completely unknown, RBFNNs are employed to approximate these functions [14].”
From Fixed-Time Adaptive Control for Nonstrict-Feedback Nonlinear Systems with Input Delay and Unknown Backlash-Like Hysteresis (2025) · cites this paper as [14]
This work simultaneously considers input delay and backlash-like hysteresis, which were not addressed together in [14].
“Additionally, this work simultaneously considers input delay and backlash-like hysteresis, which were not addressed together in [14].”
From Fixed-Time Adaptive Control for Nonstrict-Feedback Nonlinear Systems with Input Delay and Unknown Backlash-Like Hysteresis (2025) · cites this paper as [14]
In comparison to [14], this paper focuses on fixed-time stability for non-switched nonlinear systems.
“In comparison to [14], which presents an adaptive control scheme for switched nonlinear systems affected by backlash-like hysteresis and output dead-zone, this paper focuses on fixed-time stability for non-switched nonlinear systems.”
From Fixed-Time Adaptive Control for Nonstrict-Feedback Nonlinear Systems with Input Delay and Unknown Backlash-Like Hysteresis (2025) · cites this paper as [14]
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“Nowadays, many scholars have proposed a variety of adaptive control methods to deal with DZN in nonlinear systems [13]–[15].”
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“From the application point of view, these assumptions are sometimes impossible to be satisfied in practical systems.”
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“With the development of intelligent control theories, a number of advanced results have been reported, such as neural network (NN) control [6]–[9], adaptive control [10], [11], and fuzzy-logic control [12].”
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Self-citationAdaptive Finite-Time Control Scheme for Teleoperation With Time-Varying Delay and Uncertainties
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Fast Recognition and Location of Target Fruit Based on Depth Information
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MethodFinite-time controller design of multiple integrator nonlinear systems with input saturation
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“To date a large amount of references focused on consensus [1]–[15] have been made public.”
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“Since that the existence of non-smooth dead-zone nonlinearity in sensor will inevitably such that the part of the state information is not measurable, which brings about a challenging difficulty in feedback control design [15], [16], [17].”
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“For switched nonlinear systems affected by dead zone output and hysteresis, an adaptive control issue has been presented [45].”
A complete in phase FiniteDiffrnc algorithm for DiffrntEqutins in chemistry
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“Substituting (22) and (23) into (21) yields”
Self-citationAdaptive neural tracking control for switched nonlinear systems with state quantization
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Adaptive control design for MIMO switched nonlinear systems with full state constraints
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“Note that tracking consensus [16], [17] is a special case of consensus in which only part of agents has access to the leader’s information, and the objective is that each agent follows the leader asymptotically.”
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Self-citationOptimal control of discrete-time switched linear systems
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Explicit, ninth order, two step methods for solving inhomogeneous linear problems x″(t)=Λx(t)+f(t)
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Light fixed-time control for cluster synchronization of complex networks
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“Based on the modified Bouc-Wen hysteresis model, for switched systems or large-scale systems, many interesting research results about unknown hysteresis have been obtained, such as input hysteresis, 36,37 backlash-like hysteresis, 38 output hysteresis 39,40 .”
MethodA complete in phase FinitDiff procedure for DiffEquns in chemistry
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“Examples are mechanical systems with friction and impacts [19], walking robots [20], genetic regulatory networks [21], power electronic converters [22]–[24], hybrid control systems [25], systems with backlash [26], and saturation phenomena.”
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Globally Adaptive Neural Network Tracking for Uncertain Output-Feedback Systems
Wang, Q., Zhang, Z., & Xie, X. (2021) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2021.3102274 · Cited by 18 · see citing works
“…for instance pure-feedback systems [3]–[5], strict-feedback systems [6]–[8], output-feedback systems [9]–[13], time-delay systems [14]–[17], stochastic systems [18], [19], switched systems [20], [21], single-input single-output systems [22], [23], multi-input multi-output (MIMO) systems [24]–[26].”
Hybrid neural network control of uncertain switched nonlinear systems with bounded disturbance
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“The tracking control problems for switched nonlinear systems were discussed in [1, 2].”
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“i=1 z4 j,i k4 j,1 (||zj,i|| cj,i (?̂?j,i)) + 9 8 ( nj + 1 )2nji2z4 j,1 (11)”
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Pair-Wise Matching of EEG Signals for Epileptic Identification via Convolutional Neural Network
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“(i) Unlike the results in Ma et al. [26], Ahmed wet al. [50], and Tang and Li [51], unknown hysteresis and unmeasurable states are considered simultaneously in this paper, and the fuzzy state observer-based adaptive fuzzy backstepping super-twisting sliding mode control scheme is proposed for the…”
ResultSwitching Control of Nonlinear Interconnected Systems With Unknown Control Directions
Sun, Z., & Hua, C. (2023) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2023.3325486 · Cited by 16 · see citing works
“Remark 1: The growth conditions in Assumption 2 can be found in many practical systems, such as dc motor electrical model [27], two-stage chemical reactors [29], and manipulator systems [31].”
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Adaptive fixed-time consensus control of nonlinear multiagent systems with dead-zone output
Peng, W., Zheng, L., Chen, C. L. P., Wu, Z., & Liu, Z. (2023) · Information Sciences · doi:10.1016/j.ins.2023.119998 · Cited by 14 · see citing works
Energy‐optimal transport trajectory planning and online trajectory modification for holonomic robots
Kim, H., & Kim, B. K. (2020) · Asian Journal of Control · doi:10.1002/asjc.2449 · Cited by 14 · see citing works
Finite-time adaptive neural control of nonlinear systems with unknown output hysteresis
Li, Z., Wang, F., & Zhu, R. (2021) · Applied Mathematics and Computation · doi:10.1016/j.amc.2021.126175 · Cited by 14 · see citing works
Chen, Y., Liu, Z., Chen, C. L. P., & Zhang, Y. (2022) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2022.3162418 · Cited by 14 · see citing works
“In this section, we study the third-order systems: one-link robot manipulator [61]–[63].”
MethodFinite-time state-feedback control for a class of stochastic constrained nonlinear systems
Fang, L., Ding, S., Ma, L., & Zhu, D. (2022) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2022.07.025 · Cited by 14 · see citing works
Self-citationLogic-Based Fixed-Time Control for Uncertain Nonlinear Systems With Unknown Control Directions
Sun, Z., & Hua, C. (2024) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2024.3380008 · Cited by 13 · see citing works
“Besides, the growth condition in Assumption 2 can be found in many practical systems, including the electrical modeling of dc motors [27], two-stage chemical reactors [28], and manipulator systems [31].”
BackgroundZeng, D., Liu, Z., Chen, C. L. P., Zhang, Y., & Wu, Z. (2022) · Neurocomputing · doi:10.1016/j.neucom.2022.08.062 · Cited by 13 · see citing works
Li, W., Zhu, W., Zhu, X., & Guo, J. (2020) · IEEE Access · doi:10.1109/access.2020.2982317 · Cited by 12 · see citing works
“Robust control method is effectively capable of handling the modeling error caused by system uncertainties and external disturbances [24], [32].”
MethodAdaptive Consensus of Two Coupled Heterogeneous Networked Systems With Bidirectional Actions
Li, X., Nasr, E. A., El-Tamimi, A. M., & Li, Z. (2020) · IEEE Access · doi:10.1109/access.2020.2970866 · Cited by 12 · see citing works
Ma, T., Li, L., & Li, H. (2020) · IEEE Access · doi:10.1109/access.2020.2968470 · Cited by 12 · see citing works
Guo, J. Y., Bo, Y., Park, J. H., & Ma, J. (2021) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.5929 · Cited by 12 · see citing works
“For instance, the adaptive neural tracking control was studied in Reference 14 for a batch of uncertain switched nonlinear systems (NSs).”
BackgroundHe, W., Zhu, S., Li, N., & Han, Y. (2022) · International Journal of Control · doi:10.1080/00207179.2022.2067787 · Cited by 12 · see citing works
“…holds where a = min { 2 c j , ¯ η j | j = 1, 2, . . . (cid:26) (cid:26) , n } , Integrating (65) Based on inequality (66), using the method in Ma et al. (2019), it can be concluded that all signals in it are bounded, and the tracking error converges to a small region of the origin by…”
MethodWang, H., Meng, Z., Ma, J., & Zhao, X. (2024) · Neurocomputing · doi:10.1016/j.neucom.2024.127590 · Cited by 11 · see citing works
Self-citationInterval estimation and fault detection for switched nonlinear systems based on zonotope method
Li, C., Zhu, F., & Guo, S. (2022) · Asian Journal of Control · doi:10.1002/asjc.2938 · Cited by 11 · see citing works
“In view of engineering points, many practical control systems can be described by switched systems such as the intelligent robot system [1, 2], electric control system [3, 4], traffic system [5, 6], and so on.”
BackgroundSun, G., Xu, Y., Wang, Y., & Wang, G. (2021) · IET Control Theory and Applications · doi:10.1049/cth2.12108 · Cited by 10 · see citing works
Alruwaily, Y., & Kharrat, M. (2024) · Complexity · doi:10.1155/2024/5344619 · Cited by 9 · see citing works
Adaptive neural network control for flexible telerobotic systems with communication constraints
Yang, Y., Gan, L., Chen, Y., & Hua, C. (2022) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2022.04.035 · Cited by 9 · see citing works
Neural Networks Based-Adaptive Control of Nonlinear Ship Manoeuvring System
Bali, A., Singh, U. P., Kumar, R., & Jain, S. (2024) · Journal of Control Automation and Electrical Systems · doi:10.1007/s40313-024-01065-1 · Cited by 8 · see citing works
“Lemma 1 (Ma et al., 2019) (Young’s inequality) For any vectors x , y ∈ R n , we have p > 0 and q > 0 are constants with ( p − 1)( q − 1) (cid:2) 1.”
Adaptive fault-tolerant control for switched nonlinear systems with input deadzone and sensor faults
Kour, N., Singh, U. P., Raj, K., & Bali, A. (2024) · International Journal of Control · doi:10.1080/00207179.2024.2433972 · Cited by 8 · see citing works
“Remark 4.2: Example 2 is taken from Ma et al. (2019).”
InfluentialWang, R., Xue, B., Hou, L., Fei, S., & Zhao, J. (2020) · Circuits Systems and Signal Processing · doi:10.1007/s00034-020-01386-x · Cited by 8 · see citing works
“Up to now, many stability analysis and control synthesis results have been obtained for switched systems such as [4,5,9,12,18,21,28] and the references therein.”
BackgroundLiu, L., Xu, N., Zong, G., & Zhao, X. (2019) · IEEE Access · doi:10.1109/access.2019.2961683 · Cited by 8 · see citing works
“Further research includes the consideration of adaptive control for nonlinear switched positive systems ( [41]–[45]) and stability of probabilistic Boolean networks [46].”
BackgroundSelf-citationKeighobadi, J., Mehrjouyan, A., & Alfi, A. (2024) · International Journal of Dynamics and Control · doi:10.1007/s40435-024-01416-5 · Cited by 7 · see citing works
Zhou, M., Zhang, X., & Deng, X. (2024) · PLoS ONE · doi:10.1371/journal.pone.0312345 · Cited by 7 · see citing works
“Lemma 1 [35].”
Adaptive Robust Control for a Class of Stochastic Nonlinear Uncertain Systems
Li, G., Tian, Y., & Chen, Y. (2020) · IEEE Access · doi:10.1109/access.2020.2980083 · Cited by 7 · see citing works
“An adaptive neural tracking scheme was designed in [15] for a class of uncertain switched non-strict feedback nonlinear systems subject to both unknown backlash-like hysteresis and output dead-zone.”
MethodForce feedback control for bilateral teleoperation system with unknown Prandtl-Ishlinskii hysteresis
Hua, C., Wang, Y., Yang, Y., & Guan, X. (2020) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2020.03.001 · Cited by 7 · see citing works
Bali, A., Singh, U. P., Kumar, R., & Jain, S. (2023) · International Journal of Control · doi:10.1080/00207179.2023.2263591 · Cited by 6 · see citing works
“An adaptive control strategy for switched nonlinear systems with the output dead-zone and backlash-like hysteresis has been examined in Ma et al. (2019) via neural networks.”
Awan, A. A., Khan, U. S., Awan, A. U., & Hamza, A. (2024) · Applied Sciences · doi:10.3390/app142210265 · Cited by 6 · see citing works
Li, H., Sun, H., & Hou, L. (2021) · International Journal of Fuzzy Systems · doi:10.1007/s40815-021-01174-y · Cited by 6 · see citing works
Xing, X., & Zhang, J. (2020) · Complexity · doi:10.1155/2020/3951381 · Cited by 6 · see citing works
“More recently, the design problems of adaptive controller are studied for uncertain nonlinear systems with diverse structures, such as lower triangular structure [37], nonlower-triangular structure [38, 39], and nonstrictfeedback structure [40, 41].”
BackgroundYang, Z., Zong, X., & Wang, G. (2020) · International Journal of Adaptive Control and Signal Processing · doi:10.1002/acs.3182 · Cited by 6 · see citing works
“(12) The adaptive laws are given as: Ẇ l,1 = rl,1 2a(2)l,1 ζ2 l,1φ T l,1(Rl,1)φl,1(Rl,1) − σl,1Wl,1, Ẇ l,pl = rl,pl 2a2l,pl z2 l,pl T l,pl (Rl,pl )φl,pl (Rl,pl ) − σl,pl Wl,pl , l = 1, 2, .”
Wang, X., Feng, Z., Zhang, G., Niu, B., Yang, D., Hayat, T., & Alsaadi, F. E. (2020) · IET Control Theory and Applications · doi:10.1049/iet-cta.2019.0283 · Cited by 6 · see citing works
Self-citationKharrat, M., & Alhazmi, H. (2025) · Neural Processing Letters · doi:10.1007/s11063-025-11749-7 · Cited by 5 · see citing works
“Itiswidelyrecognizedthatwhenasystem isinfluencedbyhysteresisnonlinearity,itmayexhibitundesirableinaccuracies,oscillations, andeveninstability,leadingtosevereconsequencesfortheoverallsystemperformance[14].”
InfluentialKharrat, M., Krichen, M., Alhazmi, H., & Mercorelli, P. (2025) · Arabian Journal for Science and Engineering · doi:10.1007/s13369-024-09934-2 · Cited by 5 · see citing works
A Flatness-Based Nonlinear Control Scheme for Wire Tension Control of Hoisting Systems
Zang, W., Shen, G., Rui, G., Li, X., Li, G., & Tang, Y. (2019) · IEEE Access · doi:10.1109/access.2019.2943915 · Cited by 5 · see citing works
“When the nonlinear model of a system is established, controllers like sliding mode controllers [1], [8], [9], robust controllers [10]–[12], adaptive controllers [13]–[16] can be designed.”
BackgroundLow-cost adaptive prescribed time tracking control for switched nonlinear systems
Zhang, J., Pan, Y., & Lu, Q. (2023) · International Journal of Systems Science · doi:10.1080/00207721.2023.2210148 · Cited by 4 · see citing works
“For example, the adaptive neural tracking control issue was studied for switched nonlinear systems subject to unknown control direction in Ma et al. (2019).”
BackgroundMethodADRC Inverse Compensation for Mechatronic Systems with Output Backlash & Single Encoder
Garnica, J., Marrugo, J., & Coral-Enríquez, H. (2020) · International Congress of Engineering Mechatronics and Automation (CIIMA) · doi:10.1109/ciima50553.2020.9290288 · Cited by 4 · see citing works
“INTRODUCTION Backlash non-linearity limits the dynamic performance and precision of speed and position control in robotics, industrial automation, aerospace, and other areas [1].”
BackgroundChen, X., & Xiang, Z. (2022) · International Journal of Systems Science · doi:10.1080/00207721.2021.2024297 · Cited by 4 · see citing works
“Moreover, many actual systems can also be modelled through sys-tem (6), such as a single link manipulator system (L. Ma et al., 2019), a two inverted pendulum connected by a spring (X. Liu & Zhai, 2020) and electromechanical system (Lyu et al., 2019).”
BackgroundMethodLi, H., & Wang, F. (2025) · International Journal of Adaptive Control and Signal Processing · doi:10.1002/acs.3980 · Cited by 3 · see citing works
Eighth‐order, phase‐fitted, four‐step methods for solving y′′=f(x,y)
Alolyan, I., Simos, T. E., & Tsitouras, C. (2019) · Mathematical Methods in the Applied Sciences · doi:10.1002/mma.6170 · Cited by 3 · see citing works
“The four roots of (8) are λ1, λ2, λ3, and λ4 and clearly depend on v.”
Finite-Time Control of One Dimensional Crowd Evacuation System
Qin, W., Cui, B., & Jiang, Z. (2019) · Journal of Advanced Transportation · doi:10.1155/2019/6597360 · Cited by 3 · see citing works
Finite‐Time Observer‐Based Adaptive Control of Switched System with Unknown Backlash‐Like Hysteresis
Sun, G., & Xu, Y. (2019) · Complexity · doi:10.1155/2019/3760401 · Cited by 3 · see citing works
“It follows from the analysis in [22, 23, 35] that the solution of system (2) is expressed as u(t) � cv(t) + l(v), (3) where l(v) is bounded and satisfies l(v) � u0 − cv0 ( e − α v− v0 ( )sgn _ v + e − αvsgn _ v v”
BackgroundMethodLiu, S., & Jiang, X. (2022) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.6100 · Cited by 3 · see citing works
“where Pi is a smooth and strictly increasing function, which have the following properties Pi(⋅) ∶ (−ci, ci) → (−∞,∞), (10)”
Shi, W., Guo, K., Li, S., & Li, Z. (2024) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.7351 · Cited by 2 · see citing works
“20 Furthermore, in other studies, 21–24 adaptive fuzzy control combined with Nussbaum function approximation of output dead-zone for strict and semi-strict feedback systems was explored.”
BackgroundFiltered adaptive constrained sampled‐data control for uncertain multivariable nonlinear systems
Ma, T. (2020) · International Journal of Adaptive Control and Signal Processing · doi:10.1002/acs.3140 · Cited by 2 · see citing works
“It is clear that G(s)kg is a strictly proper function, and ‖(sI − Am)−1‖L1‖x0‖L∞ is exponentially decaying, the second and third terms play an important role for the L1-norm condition in (24) to be met.”
BackgroundInfluentialChen, W., Li, J., Li, X., Zhang, L., & Wang, J. (2019) · IEEE Access · doi:10.1109/access.2019.2951189 · Cited by 2 · see citing works
“In [36]–[38], NN based decentralised control systems are represented.”
Background
- Authors
- Ma, L., Huo, X., Zhao, X., Niu, B., & Zong, G.
- Affiliations
- Bohai University (CN)
- Dalian University of Technology (CN)
- Shandong Normal University (CN)
- Qufu Normal University (CN)
- Corresponding author
- Zhao, Xudong
- Venue
- Neurocomputing
- Publisher
- Elsevier BV
- Published
- 2019-09
- Volume
- 357
- Pages
- 203-214
- ISSN
- 0925-2312 (ISSN-L)
- OpenAlex
- W2944781153
- Cited by
- 111
- References
- 53
- Citations by year
- 2026: 1 · 2025: 4 · 2024: 12 · 2023: 7 · 2022: 13 · 2021: 13 · 2020: 41 · 2019: 20
- FWCI
- 12.05
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Neurocomputing (publishedVersion)
- Funders
- National Natural Science Foundation of China (61573069, 61722302)
- 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 › Computer Science › Computer Networks and Communications › Neural Networks Stability and Synchronization
- Keywords
- adaptive neural network control, switched nonlinear systems, backlash-like hysteresis, unknown control direction, backstepping control, radial basis function neural network, semi-global uniform ultimate boundedness, tracking control
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