Abstract
In the study, a tracking control method is addressed when switched interconnected systems are subjected to backlash nonlinearities. For one inequality with multiple smooth inverse models, it is not clear how to establish the boundedness of system states. In order to remove above restriction, a novel interconnected smooth inverse compensator is presented. Then, combined the proposed inverse model with common Lyapunov method, a new adaptive neural decentralized controller is presented to assure stability of system. Eventually, availability of developed control approach can be proven by the examples.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Campos J, Lewis F, Selmic R (2000) Backlash compensation with filtered prediction in discrete time nonlinear systems by dynamic inversion using neural networks. In: Proceedings of the 39th IEEE conference on decision and control
Chen Y, Liu Z, Chen C, Zhang Y (2021) Adaptive fuzzy control of switched nonlinear systems with uncertain dead-zone: a mode-dependent fuzzy dead-zone model. Neurocomputing 432:133–144
Chen Y, Liu Z (2021) Chen C. Integral-interval barrier Lyapunov function based control of switched systems with fuzzy saturation-deadzone. Nonlinear Dyn, Zhang Y
Tao G, Kokotovic PV (1993) Adaptive control of systems with backlash. Automatica 29:323–335
Tao G, Kokotovic PV (1995) Continuous-time adaptive control of systems with unknown backlash. IEEE Trans Autom Control 40(6):1083–1087
Gu GY, Su CY, Zhu LM (2015) Robust inverse compensation and control of a class of non-linear systems with unknown asymmetric backlash non-linearity. IET Control Theory Appl 9(12):1869–1877
Hua C, Guan X (2008) Output feedback stabilization for time-delay nonlinear interconnected systems using neural networks. IEEE Trans Neural Netw 19(4):673–688
Huang J, Wang W, Wen C, Zhou J (2018) Adaptive control of a class of strict-feedback time-varying nonlinear systems with unknown control coefficients. Automatica 93:98–105
Jain S, Khorrami F (1997) Decentralized adaptive output feedback design for large-scale nonlinear systems. IEEE Trans Autom Control 42(5):729–735
Jiang B, Shen Q, Shi P (2015) Neural-networked adaptive tracking control for switched nonlinear pure-feedback systems under arbitrary switching. Automatica 61:119–125
Lai G, Liu Z, Zhang Y, Philip Chen CL (2016) Adaptive fuzzy tracking control of nonlinear systems with asymmetric actuator backlash based on a new smooth inverse. IEEE Trans Cybern 46(6):1250–1262
Lai G, Liu Z, Zhang Y, Chen CLP, Xie S (2017) Adaptive inversion-based fuzzy compensation control of uncertain pure-feedback systems with asymmetric actuator backlash. IEEE Trans Fuzzy Syst 25(1):141–155
Liu Q, Qin SJ, Chai T (2013) Decentralized fault diagnosis of continuous annealing processes based on multilevel PCA. IEEE Trans Autom Sci Eng 10(3):687–698
Liu SJ, Zhang JF, Jiang ZP (2007) Decentralized adaptive output-feedback stabilization for large-scale stochastic nonlinear systems. Automatica 43(2):238–251
Liu Y, Tong S (2014) Adaptive fuzzy control for a class of nonlinear discrete-time systems with backlash. IEEE Trans Fuzzy Syst 22(5):1359–1365
Lu K, Liu Z, Wang Y, Chen CLP (2020) Fixed-time adaptive fuzzy control for uncertain nonlinear systems. IEEE Trans Fuzzy Syst
Lu K, Liu Z, Wang Y, Chen CLP (2020) Resilient adaptive neural control for uncertain nonlinear systems with infinite number of time-varying actuator failures. IEEE Trans Cybern
Lyu Z, Liu Z, Xie K, Chen CLP, Zhang Y (2020) Adaptive fuzzy output-feedback control for switched nonlinear systems with stable and unstable unmodeled dynamics. IEEE Trans Fuzzy Syst 28 (8):1825–1839
Mahmoud MS (2011) Decentralized systems with design constraints. Springer, London
Mei Y, Liu Y, Wang H (2021), Adaptive neural network output-constraint control for a variable-length rotary arm with input backlash nonlinearity. IEEE Trans Neural Netw Learn Syst
Mirkin B, Gutman PO, Shtessel Y (2012) Asymptotic sliding mode control approach to adaptive distributed tracking problem for multi-agent nonlinear delayed systems. Int J Control 85(11):1671–1682
Sanner RM, Slotine JJE (1992) Gaussian networks for direct adaptive control. IEEE Trans Neural Netw 3(6):837– 863
Selmic R, Lewis F (2000) Neural net backlash compensation with hebbian tuning by dynamic inversion. In: Proceedings of the 39th IEEE conference on decision and control
Song S, Park JH, Zhang B, Song X (2021) Event-based adaptive fuzzy fixed-time secure control for nonlinear CPSs against unknown false data injection and backlash-like hysteresis. IEEE Trans Fuzzy Syst
Spooner J, Passino K (1996) Adaptive control of a class of decentralized nonlinear systems. IEEE Trans Autom Control 41(2):280–284
Tao G, Kokotovic P (1995) Discrete-time adaptive control of systems with unknown dead zones. Int J Control 61:1–17
Tao G, Lewis FL (2001) Adaptive control of nonsmooth dynamic systems. Springer, London
Wen C, Zhou J (2007) Decentralized adaptive stabilization in the presence of unknown backlash-like hysteresis. Automatica 43(3):426–440
Xie S, Xie L (2000) Decentralized stabilization of a class of interconnected stochastic nonlinear systems. IEEE Trans Autom Control 45(1):132–137
Zhou J, Wen C (2008) Adaptive backstepping control of uncertain systems: Nonsmooth nonlinearities interactions or time-variations. Springer, Berlin
Zhou J, Zhang C, Wen C (2007) Robust adaptive output control of uncertain nonlinear plants with unknown backlash nonlinearity. IEEE Trans Autom Control 52(3):503–509
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Chen, Y. Interconnected backlash inverse compensation in neural decentralized control for switched nonlinear systems. Appl Intell 52, 10135–10147 (2022). https://doi.org/10.1007/s10489-021-02996-x
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10489-021-02996-x