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Neural Processing Letters
Published in: Neural Processing Letters 6/2022

21-05-2022

Observer-based Adaptive Funnel Dynamic Surface Control for Nonlinear Systems with Unknown Control Coefficients and Hysteresis Input

Authors: Xiang Liu, Dongbing Tong, Qiaoyu Chen, Wuneng Zhou, Shigen Shen

Published in: Neural Processing Letters | Issue 6/2022

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Abstract

This article investigates an adaptive funnel dynamic surface control (DSC) problem for a class of strict-feedback uncertain nonlinear systems with unknown control coefficients and backlash-like hysteresis input. First, a neural network (NN) state observer is constructed to estimate the unmeasurable states. Second, by utilizing the approximation ability of the radial basis function-neural networks (RBF-NNs) and the backstepping control technique, an adaptive tracking control scheme is developed, which can guarantee that all closed-loop signals are semi-globally uniformly ultimately bounded (SGUUB). Meanwhile, the DSC technique is introduced to avoid the complexity problem in the process of backstepping control. Third, by employing the funnel control (FC), the tracking error remains in a predefined funnel and converges to a prescribed interval via using a new funnel function. Finally, the superiority of the developed controller is validated by two examples.
previous article Robust Asymptotic Stability and Projective Synchronization of Time-Varying Delayed Fractional Neural Networks Under Parametric Uncertainty
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Appendix
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Literature
1.
Zhou Z, Tong D, Chen Q, Zhou W, Xu Y (2021) Adaptive NN control for nonlinear systems with uncertainty based on dynamic surface control. Neurocomputing 421:161–172CrossRef
2.
Lu H, Jin L, Luo X, Liao B, Guo D, Xiao L (2019) RNN for solving perturbed time-varying underdetermined linear system with double bound limits on residual errors and state variables. IEEE Trans Ind Inf 15(11):5931–5942CrossRef
3.
Kanellakopoulos I, Kokotovic PV, Morse (1991) Systematic design of adaptive controllers for feedback linearizable systems. IEEE Trans Autom Control 36(11):1241–1253MathSciNetMATHCrossRef
4.
Madani T, Benallegue A (2006) Backstepping control for a quadrotor helicopter. In: 2006 IEEE/RSJ international conference on intelligent robots and systems, pp. 3255–3260. IEEE
5.
Zhou J, Wen C, Zhang Y (2004) Adaptive backstepping control of a class of uncertain nonlinear systems with unknown backlash-like hysteresis. IEEE Trans Autom Control 49(10):1751–1759MathSciNetMATHCrossRef
6.
Zhou Q, Li H, Shi P (2015) Decentralized adaptive fuzzy tracking control for robot finger dynamics. IEEE Trans Fuzzy Syst 23(3):501–510CrossRef
7.
Chen B, Liu XP, Ge SS, Lin C (2012) Adaptive fuzzy control of a class of nonlinear systems by fuzzy approximation approach. IEEE Trans Fuzzy Syst 20(6):1012–1021CrossRef
8.
Li Z, Li S, Luo X (2021) An overview of calibration technology of industrial robots. IEEE-CAA J Autom 8(1):23–26
9.
Zhang T, Ge SS, Hang CC (2000) Adaptive neural network control for strict-feedback nonlinear systems using backstepping design. Automatica 36(12):1835–1846MathSciNetMATHCrossRef
10.
Li T, Li Z, Wang D, Chen CP (2015) Output-feedback adaptive neural control for stochastic nonlinear time-varying delay systems with unknown control directions. IEEE Trans Neural Netw Learn Syst 26(6):1188–1201MathSciNetCrossRef
11.
Tong D, Xu C, Chen Q, Zhou W, Xu Y (2020) Sliding mode control for nonlinear stochastic systems with Markovian jumping parameters and mode-dependent time-varying delays. Nonlinear Dyn 100(2):1343–1358MATHCrossRef
12.
Wang H, Karimi HR, Liu PX, Yang H (2018) Adaptive neural control of nonlinear systems with unknown control directions and input dead-zone. IEEE Trans Syst Man Cybern Syst 48(11):1897–1907CrossRef
13.
Li YX, Yang GH (2018) Adaptive neural control of pure-feedback nonlinear systems with event-triggered communications. IEEE Trans Neural Netw Learn Syst 29(12):6242–6251MathSciNetCrossRef
14.
Dong H, Gao S, Ning B, Tang T, Li Y, Valavanis KP (2020) Error-driven nonlinear feedback design for fuzzy adaptive dynamic surface control of nonlinear systems with prescribed tracking performance. IEEE Trans Syst Man Cybern Syst 50(3):1013–1023CrossRef
15.
Tong Y, Tong D, Chen Q, Zhou W (2020) Finite-time state estimation for nonlinear systems based on event-triggered mechanism. Circ Syst Signal Process 39(7):3737–3757MATHCrossRef
16.
Lu D, Tong D, Chen Q, Zhou W, Zhou J, Shen S (2021) Exponential synchronization of stochastic neural networks with time-varying delays and Lévy noises via event-triggered control. Neural Process Lett 53(3):2175–2196CrossRef
17.
Wang X, Li X, Wu Q, Yin X (2019) Neural network based adaptive dynamic surface control of nonaffine nonlinear systems with time delay and input hysteresis nonlinearities. Neurocomputing 333:53–63CrossRef
18.
Xu C, Tong D, Chen Q, Zhou W, Shi P (2021) Exponential stability of Markovian jumping systems via adaptive sliding mode control. IEEE Trans Syst Man Cybern Syst 51(2):954–964CrossRef
19.
Liu YH, Su CY, Li H (2021) Adaptive output feedback funnel control of uncertain nonlinear systems with arbitrary relative degree. IEEE Trans Autom Control 66(6):2854–2860MathSciNetMATHCrossRef
20.
Chen Q, Tong D, Zhou W, Xu Y, Mou J (2021) Exponential stability using sliding mode control for stochastic neutral-type systems. Circ Syst Signal Process 40:2006–2024CrossRef
21.
Peng Z, Jiang Y, Wang J (2021) Event-triggered dynamic surface control of an underactuated autonomous surface vehicle for target enclosing. IEEE Trans Ind Electron 68(4):3402–3412CrossRef
22.
23.
Xu C, Tong D, Chen Q, Zhou W, Xu Y (2020) Exponential synchronization of chaotic systems with stochastic noise via periodically intermittent control. Int J Robust Nonlinear Control 30(7):2611–2624MathSciNetMATHCrossRef
24.
Ge P, Jouaneh M (1997) Generalized preisach model for hysteresis nonlinearity of piezoceramic actuators. Precis Eng 20(2):99–111CrossRef
25.
Su CY, Stepanenko Y, Svoboda J, Leung TP (2000) Robust adaptive control of a class of nonlinear systems with unknown backlash-like hysteresis. IEEE Trans Autom Control 45(12):2427–2432MathSciNetMATHCrossRef
26.
Lu K, Liu Z, Chen CP, Zhang Y (2020) Event-triggered neural control of nonlinear systems with rate-dependent hysteresis input based on a new filter. IEEE Trans Neural Netw Learn Syst 31(4):1270–1284MathSciNetCrossRef
27.
Luo X, Zhou M, Li S, Wu D, Liu Z, Shang M (2021) Algorithms of unconstrained non-negative latent factor analysis for recommender systems. IEEE Trans Big Data 7(1):227–240CrossRef
28.
Li S, Guo Y (2012) Distributed source seeking by cooperative robots: All-to-all and limited communications. In: 2012 IEEE international conference on robotics and automation, pp. 1107–1112. IEEE
29.
Ibrir S, Su CY (2017) Adaptive stabilization of a class of feedforward nonlinear systems subject to unknown backlash-hysteresis inputs. IEEE Trans Control Syst Technol 25(4):1180–1192CrossRef
30.
Qiu J, Sun K, Rudas IJ, Gao H (2020) Command filter-based adaptive NN control for MIMO nonlinear systems with full-state constraints and actuator hysteresis. IEEE Trans Cybern 50(7):2905–2915CrossRef
31.
Lu Y (2018) Adaptive-fuzzy control compensation design for direct adaptive fuzzy control. IEEE Trans Fuzzy Syst 26(6):3222–3231CrossRef
32.
Han SI, Lee JM (2014) Fuzzy echo state neural networks and funnel dynamic surface control for prescribed performance of a nonlinear dynamic system. IEEE Trans Ind Electron 61(2):1099–1112CrossRef
33.
Wang H, Liu X, Liu PX, Li S (2016) Robust adaptive fuzzy fault-tolerant control for a class of non-lower-triangular nonlinear systems with actuator failures. Inf Sci 336:60–74MATHCrossRef
34.
Zhou N, Liu YJ, Tong SC (2011) Adaptive fuzzy output feedback control of uncertain nonlinear systems with nonsymmetric dead-zone input. Nonlinear Dyn 63(4):771–778MathSciNetCrossRef
35.
Talkhoncheh MK, Shahrokhi M, Askari MR (2017) Observer-based adaptive neural network controller for uncertain nonlinear systems with unknown control directions subject to input time delay and saturation. Inf Sci 418:717–737MATHCrossRef
36.
37.
Liu X, Tong D, Chen Q, Zhou W, Liao K (2021) Observer-based adaptive NN tracking control for nonstrict-feedback systems with input saturation. Neural Process Lett 53(3):3757–3781CrossRef
38.
Bai L, Zhou Q, Wang L, Yu Z, Li H (2017) Observer-based adaptive control for stochastic nonstrict-feedback systems with unknown backlash-like hysteresis. Int J Adapt Control Signal Process 31(10):1481–1490MathSciNetMATHCrossRef
39.
Su CY, Oya M, Hong H (2003) Stable adaptive fuzzy control of nonlinear systems preceded by unknown backlash-like hysteresis. IEEE Trans Fuzzy Syst 11(1):1–8CrossRef
40.
Chen B, Liu X, Lin C (2018) Observer and adaptive fuzzy control design for nonlinear strict-feedback systems with unknown virtual control coefficients. IEEE Trans Fuzzy Syst 26(3):1732–1743CrossRef
41.
Yu Z, Li S, Yu Z, Li F (2018) Adaptive neural output feedback control for nonstrict-feedback stochastic nonlinear systems with unknown backlash-like hysteresis and unknown control directions. IEEE Trans Neural Netw Learn Syst 29(4):1147–1160MathSciNetCrossRef
42.
Zhang X, Jing R, Li Z, Li Z, Chen X, Su CY (2021) Adaptive pseudo inverse control for a class of nonlinear asymmetric and saturated nonlinear hysteretic systems. IEEE/CAA J Autom Sinica 8(4):916–928MathSciNetCrossRef
43.
Sun H, Hou L, Zong G, Yu X (2020) Adaptive decentralized neural network tracking control for uncertain interconnected nonlinear systems with input quantization and time delay. IEEE Trans Neural Netw Learn Syst 31(4):1401–1409MathSciNetCrossRef
44.
Jinzhu P, Shuai D, Zeqi Y, Jianbin X (2020) Adaptive neural impedance control for electrically driven robotic systems based on a neuro-adaptive observer. Nonlinear Dyn 100(2):1359–1378MATHCrossRef
45.
Chen B, Lin C, Liu X, Liu K (2016) Observer-based adaptive fuzzy control for a class of nonlinear delayed systems. IEEE Trans Syst Man Cybern Syst 45(1):27–36CrossRef
46.
Cao L, Li H, Zhou Q (2018) Adaptive intelligent control for nonlinear strict-feedback systems with virtual control coefficients and uncertain disturbances based on event-triggered mechanism. IEEE Trans Cybern 48(12):3390–3402CrossRef
47.
Wang D, Huang J (2005) Neural network-based adaptive dynamic surface control for a class of uncertain nonlinear systems in strict-feedback form. IEEE Trans Neural Netw 16(1):195–202CrossRef
48.
Liu Z, Lai G, Zhang Y, Chen CP (2015) Adaptive fuzzy tracking control of nonlinear time-delay systems with dead-zone output mechanism based on a novel smooth model. IEEE Trans Fuzzy Syst 23(6):1998–2011CrossRef
Metadata
Title
Observer-based Adaptive Funnel Dynamic Surface Control for Nonlinear Systems with Unknown Control Coefficients and Hysteresis Input
Authors
Xiang Liu
Dongbing Tong
Qiaoyu Chen
Wuneng Zhou
Shigen Shen
Publication date
21-05-2022
Publisher
Springer US
Published in
Neural Processing Letters / Issue 6/2022
Print ISSN: 1370-4621
Electronic ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-022-10827-4

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