A journal of IEEE and CAA , publishes high-quality papers in English on original theoretical/experimental research and development in all areas of automation

IEEE/CAA Journal of Automatica Sinica

  • JCR Impact Factor: 15.3, Top 1 (SCI Q1)
    CiteScore: 23.5, Top 2% (Q1)
    Google Scholar h5-index: 77, TOP 5
Turn off MathJax
Article Contents
X. Yue, H. Zhang, J. Sun, and X. Guo, “Universal intermittent state-constrained control without feasibility condition for nonlinear systems,” IEEE/CAA J. Autom. Sinica, 2025. doi: 10.1109/JAS.2025.125357
Citation: X. Yue, H. Zhang, J. Sun, and X. Guo, “Universal intermittent state-constrained control without feasibility condition for nonlinear systems,” IEEE/CAA J. Autom. Sinica, 2025. doi: 10.1109/JAS.2025.125357

Universal Intermittent State-Constrained Control Without Feasibility Condition for Nonlinear Systems

doi: 10.1109/JAS.2025.125357
Funds:  This work was supported by the Fundamental Research Funds for the Central Universities (N2404005), the National Key Research and Develepment Program of China (2018YFA0702200), Liaoning Revitalization Talents Program (XLYC1801005), the National Natural Science Foundation of China (U23B20118), and the Nature Science Foundation of Liaoning Province of China (2022JH25/10100008)
More Information
  • State constraints in nonlinear systems are commonly pursued by resorting to barrier functions, which enforce constraints over the entire duration of system operation. We propose a universal intermittent state-constrained solution, which not only offers flexibility by activating constraints just during specific time periods of interest to the user, but also successfully accommodates different types of constraint boundaries. The innovative shifting functions are proposed to facilitate seamless transitions between constrained and unconstrained operational phases, resulting in more user-friendly design and implementation. By blending an improved shifting transformation into intermittent constraint design, we construct a universal barrier function upon the constrained states, with which our control strategy removes the limitations on constraint functions and completely obviates the feasibility conditions. Furthermore, a modified fuzzy approximator driven by the prediction error rather than the tracking error achieves decoupling of the control and estimation loops, which not only ensures the estimation performance, but also facilitates proof of stability. Finally, the effectiveness of the proposed scheme is assessed by numerical simulation.

     

  • loading
  • [1]
    A. Bemporad, “Reference governor for constrained nonlinear systems,” IEEE Trans. Automatic Control, vol. 43, no. 3, pp. 415–419, 1998. doi: 10.1109/9.661611
    [2]
    L. Burlion, R. Schieni, and I. V. Kolmanovsky, “A reference governor for linear systems with polynomial constraints,” Automatica, vol. 142, p. 110313, 2022. doi: 10.1016/j.automatica.2022.110313
    [3]
    H. Li and Y. Shi, “Robust distributed model predictive control of constrained continuous-time nonlinear systems: A robustness constraint approach,” IEEE Trans. Automatic Control, vol. 59, no. 6, pp. 1673–1678, 2014. doi: 10.1109/TAC.2013.2294618
    [4]
    M. V. Kothare, V. Balakrishnan, and M. Morari, “Robust constrained model predictive control using linear matrix inequalities,” Automatica, vol. 32, no. 10, pp. 1361–1379, 1996. doi: 10.1016/0005-1098(96)00063-5
    [5]
    W. Zhao, Y. Liu, and L. Liu, “Observer-based adaptive fuzzy tracking control using integral barrier lyapunov functionals for a nonlinear system with full state constraints,” IEEE/CAA Journal of Automatica Sinica, vol. 8, no. 3, pp. 617–627, 2021. doi: 10.1109/JAS.2021.1003877
    [6]
    K. B. Ngo, R. Mahony, and Z.-P. Jiang, “Integrator backstepping using barrier functions for systems with multiple state constraints,” in Proc. the 44th IEEE Conf. on Decision and Control, pp. 8306–8312, IEEE, 2005.
    [7]
    K. P. Tee, S. S. Ge, and E. H. Tay, “Barrier lyapunov functions for the control of output-constrained nonlinear systems,” Automatica, vol. 45, no. 4, pp. 918–927, 2009. doi: 10.1016/j.automatica.2008.11.017
    [8]
    S. Guo, Y. Pan, H. Li, and L. Cao, “Dynamic event-driven adp for n-player nonzero-sum games of constrained nonlinear systems,” IEEE Trans. Automation Science and Engineering, 2024: 10.1109/TASE.2024.3467382. doi: 10.1109/TASE.2024.3467382
    [9]
    Y.-J. Liu and S. Tong, “Barrier lyapunov functions-based adaptive control for a class of nonlinear pure-feedback systems with full state constraints,” Automatica, vol. 64, pp. 70–75, 2016. doi: 10.1016/j.automatica.2015.10.034
    [10]
    H. Zhang, Y. Liu, and Y. Wang, “Observer-based finite-time adaptive fuzzy control for nontriangular nonlinear systems with full-state constraints,” IEEE Trans. Cybernetics, vol. 51, no. 3, pp. 1110–1120, 2020.
    [11]
    A. Mousavi, A. H. D. Markazi, and A. Ferrara, “A barrier-function-based second-order sliding mode control with optimal reaching for full-state and input-constrained nonlinear systems,” IEEE Trans. Automatic Control, vol. 69, no. 1, pp. 395–402, 2024. doi: 10.1109/TAC.2023.3263076
    [12]
    X. Jin, “Adaptive fixed-time control for mimo nonlinear systems with asymmetric output constraints using universal barrier functions,” IEEE Trans. Automatic Control, vol. 64, no. 7, pp. 3046–3053, 2019. doi: 10.1109/TAC.2018.2874877
    [13]
    Y.-D. Song and S. Zhou, “Tracking control of uncertain nonlinear systems with deferred asymmetric time-varying full state constraints,” Automatica, vol. 98, pp. 314–322, 2018. doi: 10.1016/j.automatica.2018.09.032
    [14]
    L. Kong, W. He, Z. Liu, X. Yu, and C. Silvestre, “Adaptive tracking control with global performance for output-constrained mimo nonlinear systems,” IEEE Trans. Automatic Control, vol. 68, no. 6, pp. 3760–3767, 2023. doi: 10.1109/TAC.2022.3201258
    [15]
    K. Zhao, L. Chen, and C. L. P. Chen, “Event-based adaptive neural control of nonlinear systems with deferred constraint,” IEEE Trans. Systems, Man, and Cybernetics: Systems, vol. 52, no. 10, pp. 6273–6282, 2022. doi: 10.1109/TSMC.2022.3143359
    [16]
    X. Yue, H. Zhang, J. Sun, and X. Liu, “A simplified fuzzy wavelet neural control for nonlinear systems with quantized inputs and deferred constraints,” IEEE Trans. Fuzzy Systems, vol. 32, no. 3, pp. 1504–1514, 2024. doi: 10.1109/TFUZZ.2023.3325450
    [17]
    X. Yue, H. Zhang, J. Sun, T. Wang, and L. Liu, “Optimized backstepping-based containment control for multiagent systems with deferred constraints using a universal nonlinear transformation,” IEEE Trans. Cybernetics, vol. 54, no. 10, pp. 6058–6068, 2024. doi: 10.1109/TCYB.2024.3440004
    [18]
    F. Wang, L. Long, and C. Xiang, “Event-triggered state-dependent switching for adaptive fuzzy control of switched nonlinear systems,” IEEE Trans. Fuzzy Systems, vol. 32, no. 4, pp. 1756–1767, 2024. doi: 10.1109/TFUZZ.2023.3333911
    [19]
    X. Guo, H. Zhang, X. Yue, and T. Wang, “Optimized backstepping cooperative control for output-constrained stochastic nonlinear network systems via a multibridge-hole function,” IEEE Trans. Cybernetics, 2024, doi: 10.1109/TCYB.2024.3384467.
    [20]
    K. Zhao and Y. Song, “Decision function-based adaptive control of uncertain systems subject to irregular output constraints,” IEEE Trans. Automatic Control, vol. 69, no. 11, pp. 8026–8033, 2024. doi: 10.1109/TAC.2024.3406580
    [21]
    K. Zhao and Y. Song, “Removing the feasibility conditions imposed on tracking control designs for state-constrained strict-feedback systems,” IEEE Trans. Automatic Control, vol. 64, no. 3, pp. 1265–1272, 2019. doi: 10.1109/TAC.2018.2845707
    [22]
    K. Zhao, Y. Song, C. P. Chen, and L. Chen, “Control of nonlinear systems under dynamic constraints: A unified barrier function-based approach,” Automatica, vol. 119, p. 109102, 2020. doi: 10.1016/j.automatica.2020.109102
    [23]
    L.-X. Wang, J. M. Mendel, et al, “Fuzzy basis functions, universal approximation, and orthogonal least-squares learning,” IEEE transactions on Neural Networks, vol. 3, no. 5, pp. 807–814, 1992. doi: 10.1109/72.159070
    [24]
    H. Zhang, Y. Yan, Y. Mu, and Z. Ming, “Neural network-based adaptive sliding-mode control for fractional order fuzzy system with unmatched disturbances and time-varying delays,” IEEE Trans. Systems, Man, and Cybernetics: Systems, vol. 53, no. 8, pp. 5174–5184, 2023. doi: 10.1109/TSMC.2023.3257415
    [25]
    X. Yue, H. Zhang, J. Sun, and L. Zhang, “Distributed saturation-tolerant fuzzy control for constrained stochastic multi-agent systems with resilient quantitative behaviors,” IEEE Trans. Fuzzy Systems, 2024, doi: 10.1109/TFUZZ.2023.3347581.
    [26]
    C. Ma and D. Dong, “Finite-time prescribed performance time-varying formation control for second-order multi-agent systems with non-strict feedback based on a neural network observer,” IEEE/CAA Journal of Automatica Sinica, vol. 11, no. 4, pp. 1039–1050, 2024. doi: 10.1109/JAS.2023.123615
    [27]
    H. Zhang, Y. Liu, J. Dai, and Y. Wang, “Command filter based adaptive fuzzy finite-time control for a class of uncertain nonlinear systems with hysteresis,” IEEE Trans. Fuzzy Systems, vol. 29, no. 9, pp. 2553–2564, 2021. doi: 10.1109/TFUZZ.2020.3003499
    [28]
    W. Chang, Y. Li, and S. Tong, “Adaptive fuzzy backstepping tracking control for flexible robotic manipulator,” IEEE/CAA Journal of Automatica Sinica, vol. 8, no. 12, pp. 1923–1930, 2021. doi: 10.1109/JAS.2017.7510886
    [29]
    H. Zhang, X. Guo, J. Sun, and Y. Zhou, “Event-triggered cooperative adaptive fuzzy control for stochastic nonlinear systems with measurement sensitivity and deception attacks,” IEEE Trans. Fuzzy Systems, vol. 31, no. 3, pp. 774–785, 2023. doi: 10.1109/TFUZZ.2022.3189412
    [30]
    L. Cao, Y. Pan, H. Liang, and C. K. Ahn, “Event-based adaptive neural network control for large-scale systems with nonconstant control gains and unknown measurement sensitivity,” IEEE Trans. Systems, Man, and Cybernetics: Systems, vol. 54, no. 11, pp. 7027–7038, 2024. doi: 10.1109/TSMC.2024.3444007
    [31]
    X. Shao and H. Wang, “Back-stepping robust trajectory linearization control for hypersonic reentry vehicle via novel tracking differentiator,” Journal of the Franklin Institute, vol. 353, no. 9, pp. 1957–1984, 2016. doi: 10.1016/j.jfranklin.2016.03.007
    [32]
    J. Chen and C. Hua, “Adaptive full-state-constrained control of nonlinear systems with deferred constraints based on nonbarrier lyapunov function method,” IEEE Trans. Cybernetics, vol. 52, no. 8, pp. 7634–7642, 2022. doi: 10.1109/TCYB.2020.3036646
    [33]
    B. Ren, S. S. Ge, C.-Y. Su, and T. H. Lee, “Adaptive neural control for a class of uncertain nonlinear systems in pure-feedback form with hysteresis input,” IEEE Trans. Systems, Man, and Cybernetics, Part B (Cybernetics), vol. 39, no. 2, pp. 431–443, 2008.
    [34]
    S. Yang, H. Liang, Y. Pan, and T. Li, “Security control for air-sea heterogeneous multiagent systems with cooperative-antagonistic interactions: An intermittent privacy preservation mechanism,” Sci. China Technol. Sci, 2024.

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(9)

    Article Metrics

    Article views (12) PDF downloads(3) Cited by()

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return