Nothing Special   »   [go: up one dir, main page]

skip to main content
research-article

Adaptive neural tracking control for a class of switched uncertain nonlinear systems

Published: 30 November 2015 Publication History

Abstract

This paper investigates the problem of adaptive neural tracking control for a class of switched uncertain nonlinear systems in nonstrict-feedback form. By resorting to the adaptive backstepping technique, common Lyapunov function method, variable separation approach and the universal approximation capability of radial basis function neural networks, an adaptive tracking control algorithm is proposed for the considered system. It is shown that the designed controller can ensure that the target signal can be tracked with a small bounded error and the stability of the system can be kept under arbitrary switchings. Finally, simulation studies for a ship maneuvering system under different speeds are presented to show the effectiveness of the proposed method.

References

[1]
J. Zhao, D.J. Hill, Dissipativity theory for switched systems, IEEE Trans. Autom. Control, 53 (2008) 941-953.
[2]
X. Zhao, X. Liu, S. Yin, H. Li, Improved results on stability of continuous-time switched positive linear systems, Automatica, 50 (2014) 614-621.
[3]
L. Zhang, H. Gao, Asynchronously switched control of switched linear systems with average dwell time, Automatica, 46 (2010) 953-958.
[4]
X. Zhao, S. Yin, H. Li, B. Niu, Switching stabilization for a class of slowly switched systems, IEEE Trans. Autom. Control, 60 (2015) 221-226.
[5]
X. Liu, J. Cao, W. Yu, Filippov systems and quasi-synchronization control for switched networks, Chaos, 22 (2012) 033110.
[6]
Y. Sun, L. Wang, On stability of a class of switched nonlinear systems, Automatica, 49 (2013) 305-307.
[7]
X. Zhao, L. Zhang, P. Shi, M. Liu, Stability and stabilization of switched linear systems with mode-dependent average dwell time, IEEE Trans. Autom. Control, 57 (2012) 1809-1815.
[8]
L. Zhang, S. Zhuang, P. Shi, Non-weighted quasi-time-dependent H ∞ filtering for switched linear systems with persistent dwell-time, Automatica, 54 (2015) 201-209.
[9]
J. Ye, Tracking control for nonholonomic mobile robot, Neurocomputing, 71 (2008) 3373-3378.
[10]
J. Yu, B. Chen, H. Yu, C. Lin, Z. Ji, X. Cheng, Position tracking control for chaotic permanent magnet synchronous motors via indirect adaptive neural approximation, Neurocomputing, 156 (2015) 245-251.
[11]
Z. Peng, D. Wang, H. Zhang, Y. Lin, Cooperative output feedback adaptive control of uncertain nonlinear multi-agent systems with a dynamic leader, Neurocomputing, 149 (2015) 132-141.
[12]
B. Miao, T. Li, W. Luo, A DSC and MLP based robust adaptive NN tracking control for underwater vehicle, Neurocomputing, 111 (2013) 184-189.
[13]
B. Xu, Y. Zhang, Neural discrete back-stepping control of hypersonic flight vehicle with equivalent prediction model, Neurocomputing, 154 (2015) 337-346.
[14]
R. Ma, J. Zhao, Backstepping design for global stabilization of switched nonlinear systems in lower triangular form under arbitrary switchings, Automatica, 46 (2010) 1819-1823.
[15]
Y. Li, S. Tong, T. Li, Adaptive fuzzy backstepping control design for a class of pure-feedback switched nonlinear systems, Nonlinear Anal., 16 (2015) 72-80.
[16]
M. Cai, Z. Xiang, Adaptive neural finite-time control for a class of switched nonlinear systems, Neurocomputing, 155 (2015) 177-185.
[17]
L. Long, J. Zhao, Adaptive fuzzy tracking control of switched uncertain nonlinear systems with unstable subsystems, Fuzzy Sets Syst., 273 (2015) 49-67.
[18]
W. Yang, S. Tong, Output feedback robust stabilization of switched fuzz systems with time-delay and actuator saturation, Neurocomputing, 164 (2015) 173-181.
[19]
M. Chiang, L. Fu, Adaptive stabilization of a class of uncertain switched nonlinear systems with backstepping control, Automatica, 50 (2014) 2128-2135.
[20]
L. Long, Z. Wang, J. Zhao, Switched adaptive control of switched nonlinearly parameterized systems with unstable subsystems, Automatica, 54 (2015) 217-228.
[21]
X. Zhao, X. Zheng, B. Niu, L. Liu, Adaptive tracking control for a class of uncertain switched nonlinear systems, Automatica, 52 (2015) 185-191.
[22]
B. Chen, X. Liu, S. Ge, C. Lin, Adaptive fuzzy control of a class of nonlinear systems by fuzzy approximation approach, IEEE Trans. Fuzzy Syst., 20 (2012) 1012-1021.
[23]
X. Liu, D.W. Ho, W. Yu, J. Cao, A new switching design to finite-time stabilization of nonlinear systems with applications to neural networks, Neural Netw., 57 (2014) 94-102.
[24]
T. Wang, H. Gao, J. Qiu, A combined adaptive neural network and nonlinear model predictive control for multirate networked industrial process control, IEEE Trans. Neural Netw. Learn. Syst. {http://dx.doi.org/10.1109/TNNLS.2015.2411671}
[25]
X. Liu, J. Cao, Robust state estimation for neural networks with discontinuous activations, IEEE Trans. Syst. Man Cybern. Part B, 40 (2010) 1425-1437.
[26]
X. Liu, N. Jiang, J. Cao, S. Wang, Z. Wang, Finite-time stochastic stabilization for BAM neural networks with uncertainties, J. Frankl. Inst., 350 (2013) 2109-2123.
[27]
S. Yin, S.X. Ding, A.H. AbandanSari, H. Hao, Data-driven monitoring for stochastic systems and its application on batch process, Int. J. Syst. Sci., 44 (2013) 1366-1376.
[28]
S. Yin, Data-driven design of fault diagnosis systems (Reihe 8), Nr. 1206, 2012.
[29]
M. Polycarpou, P. Ioannou, A robust adaptive nonlinear control design, Automatica, 32 (1996) 423-427.
[30]
L. Yuan, H. Wu, Simulation and design of fuzzy sliding-mode controller for ship heading-tracking, J. Mar. Sci. Appl., 10 (2011) 76-81.

Cited By

View all
  • (2024)Predefined‐time adaptive fuzzy tracking control for switched nonlinear systemsAsian Journal of Control10.1002/asjc.331026:4(1927-1938)Online publication date: 24-Jul-2024
  • (2018)Asymmetric prescribed performance‐barrier Lyapunov function for the adaptive dynamic surface control of unknown pure‐feedback nonlinear switched systems with output constraintsInternational Journal of Adaptive Control and Signal Processing10.1002/acs.292132:10(1417-1439)Online publication date: 13-Aug-2018
  • (2017)Adaptive neural tracking control for a class of uncertain switched nonlinear systems with unknown backlash-like hysteresis control inputNeurocomputing10.1016/j.neucom.2016.08.094219:C(50-58)Online publication date: 5-Jan-2017
  • Show More Cited By
  1. Adaptive neural tracking control for a class of switched uncertain nonlinear systems

    Recommendations

    Comments

    Please enable JavaScript to view thecomments powered by Disqus.

    Information & Contributors

    Information

    Published In

    cover image Neurocomputing
    Neurocomputing  Volume 168, Issue C
    November 2015
    1211 pages

    Publisher

    Elsevier Science Publishers B. V.

    Netherlands

    Publication History

    Published: 30 November 2015

    Author Tags

    1. Adaptive control
    2. Neural networks
    3. Switched nonlinear systems

    Qualifiers

    • Research-article

    Contributors

    Other Metrics

    Bibliometrics & Citations

    Bibliometrics

    Article Metrics

    • Downloads (Last 12 months)0
    • Downloads (Last 6 weeks)0
    Reflects downloads up to 21 Nov 2024

    Other Metrics

    Citations

    Cited By

    View all
    • (2024)Predefined‐time adaptive fuzzy tracking control for switched nonlinear systemsAsian Journal of Control10.1002/asjc.331026:4(1927-1938)Online publication date: 24-Jul-2024
    • (2018)Asymmetric prescribed performance‐barrier Lyapunov function for the adaptive dynamic surface control of unknown pure‐feedback nonlinear switched systems with output constraintsInternational Journal of Adaptive Control and Signal Processing10.1002/acs.292132:10(1417-1439)Online publication date: 13-Aug-2018
    • (2017)Adaptive neural tracking control for a class of uncertain switched nonlinear systems with unknown backlash-like hysteresis control inputNeurocomputing10.1016/j.neucom.2016.08.094219:C(50-58)Online publication date: 5-Jan-2017
    • (2017)Adaptive tracking control for a class of non-affine switched stochastic nonlinear systems with unmodeled dynamicsNeural Computing and Applications10.1007/s00521-016-2381-x28:1(1069-1081)Online publication date: 1-Jan-2017
    • (2016)Multiple-targets tracking control algorithm for a class of nonlinear systems with feedforward compensationsNeurocomputing10.1016/j.neucom.2016.03.003196:C(210-213)Online publication date: 5-Jul-2016
    • (2016)Adaptive finite-time tracking control for a class of switched nonlinear systems with unmodeled dynamicsNeurocomputing10.1016/j.neucom.2016.02.035196:C(42-52)Online publication date: 5-Jul-2016

    View Options

    View options

    Login options

    Media

    Figures

    Other

    Tables

    Share

    Share

    Share this Publication link

    Share on social media