IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v501y2025ics009630032500195x.html

Optimal tracking and regulation performance of networked control systems with additive colored Gaussian noise and finite bandwidth

Author

Listed:
  • Zhang, Bin
  • Ding, Da-Wei

Abstract

This paper investigates the optimal tracking and regulation performance of networked control systems (NCSs) with additive colored Gaussian noise (ACGN) and finite bandwidth. The bandwidth-limited channel is described as a non-minimum phase channel, which introduces additional restrictions on performance due to potential non-minimum-phase zeros (NMPZs). The optimal tracking and regulation performance of NCSs is derived using a frequency-domain analysis method and a two-degree-of-freedom control (TDOF) scheme. It is shown that the optimal tracking and regulation performance has a close relation with the intrinsic characteristic of the plant, NMPZs in the channel, bandwidth, and ACGN. Finally, the effectiveness of the proposed approach is verified through numerical simulations.

Suggested Citation

  • Zhang, Bin & Ding, Da-Wei, 2025. "Optimal tracking and regulation performance of networked control systems with additive colored Gaussian noise and finite bandwidth," Applied Mathematics and Computation, Elsevier, vol. 501(C).
    • Handle: RePEc:eee:apmaco:v:501:y:2025:i:c:s009630032500195x
    DOI: 10.1016/j.amc.2025.129469
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S009630032500195X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2025.129469?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Lee, Tae H. & Park, Myeong Jin & Park, Ju H., 2021. "An improved stability criterion of neural networks with time-varying delays in the form of quadratic function using novel geometry-based conditions," Applied Mathematics and Computation, Elsevier, vol. 404(C).
    2. Chang, Xiao-Heng & Jin, Xue, 2022. "Observer-based fuzzy feedback control for nonlinear systems subject to transmission signal quantization," Applied Mathematics and Computation, Elsevier, vol. 414(C).
    3. Ma, Jiali & Park, Ju H. & Xu, Shengyuan & Cui, Guozeng & Yang, Zhichun, 2020. "Command-filter-based adaptive tracking control for nonlinear systems with unknown input quantization and mismatching disturbances," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Li, Changhao & Pan, Yingnan & Sun, Xingjian, 2026. "Protocol-based security controller design for networked control systems with DoS attacks compensation mechanism," Applied Mathematics and Computation, Elsevier, vol. 517(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zhai, Junchang & Wang, Huanqing & Qin, Yuping & Cui, Hongxia, 2025. "Estimation-based event-triggered fixed-time fuzzy tracking control for high-order nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 486(C).
    2. Gao, Jingjing & Xie, Xiangpeng, 2025. "A weighted switching sequence optimization algorithm for static output feedback control synthesis of nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 489(C).
    3. Zhu, Lin & Che, Wei-Wei & Jin, Xiao-Zheng, 2022. "Dynamic event-triggered tracking control for model-free networked control systems," Applied Mathematics and Computation, Elsevier, vol. 431(C).
    4. Chen, Xiang & Li, Shi & Wang, Ronghao & Xiang, Zhengrong, 2023. "Event-Triggered output feedback adaptive control for nonlinear switched interconnected systems with unknown control coefficients," Applied Mathematics and Computation, Elsevier, vol. 445(C).
    5. Zhimin Li & Chengming Lu & Hongyu Wang, 2023. "Non-Fragile Fuzzy Tracking Control for Nonlinear Networked Systems with Dynamic Quantization and Randomly Occurring Gain Variations," Mathematics, MDPI, vol. 11(5), pages 1-20, February.
    6. Mathiyalagan, K. & Nidhi, A. Shree & Su, H. & Renugadevi, T., 2022. "Observer and boundary output feedback control for coupled ODE-transport PDE," Applied Mathematics and Computation, Elsevier, vol. 426(C).
    7. Lu, Ji-Jing & Xiong, Jun, 2024. "Energy-to-peak quantized filtering for T-S fuzzy systems with event-triggered-based weighted try-once-discard protocol: The finite-time case," Applied Mathematics and Computation, Elsevier, vol. 483(C).
    8. Yang, Tianqing & Zou, Runmin & Liu, Fang & Liu, Cai & Sidorov, Denis, 2023. "Improved stabilization condition of delayed T-S fuzzy systems via an extended quadratic function negative-determination lemma," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    9. Jiao, Ticao & Qi, Xiaomei & Jiang, Jishun & Yu, Mingzheng, 2022. "Noise-input-to-state stability analysis of switching stochastic nonlinear systems with mode-dependent multiple impulses," Applied Mathematics and Computation, Elsevier, vol. 434(C).
    10. Xu, Qiyi & Zhang, Ning & Qi, Wenhai, 2023. "Finite-time control for discrete-time nonlinear Markov switching LPV systems with DoS attacks," Applied Mathematics and Computation, Elsevier, vol. 443(C).
    11. Wu, Ziwei & Xu, Ning & Zhang, Liang & Zhao, Ning & Song, Guangjing, 2026. "Privacy preservation-based dynamic event-triggered bipartite consensus strategy for nonlinear multi-agent systems with unknown mismatched disturbances," Applied Mathematics and Computation, Elsevier, vol. 515(C).
    12. Harshavarthini, S. & Kwon, O.M. & Lee, S.M., 2022. "Uncertainty and disturbance estimator-based resilient tracking control design for fuzzy semi-Markovian jump systems," Applied Mathematics and Computation, Elsevier, vol. 426(C).
    13. Xu, Tianbo & Zhu, Chunxia & Qi, Wenhai & Cheng, Jun & Shi, Kaibo & Sun, Liangliang, 2022. "Passive analysis and finite-time anti-disturbance control for semi-Markovian jump fuzzy systems with saturation and uncertainty," Applied Mathematics and Computation, Elsevier, vol. 424(C).
    14. Hu, Yifan & Liu, Wenhui & Liu, Guobao, 2022. "Adaptive finite‐time event‐triggered control for uncertain nonlinearly parameterized systems with unknown control direction and actuator failures," Applied Mathematics and Computation, Elsevier, vol. 435(C).
    15. Yoo, Sung Jin, 2021. "Decentralized event-triggered adaptive control of a class of uncertain interconnected nonlinear systems using local state feedback corrupted by unknown injection data," Applied Mathematics and Computation, Elsevier, vol. 399(C).
    16. Ma, Yong-Sheng & Che, Wei-Wei & Deng, Chao, 2022. "Observer-Based fuzzy containment control for nonlinear networked mass under dos attacks," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    17. Chang, Xu-Kang & He, Yong, 2024. "Reachable set estimation of delayed Markovian jump neural networks via variables-augmented-based free-weighting-matrices method," Applied Mathematics and Computation, Elsevier, vol. 478(C).
    18. Shuoting Wang & Kaibo Shi & Jin Yang, 2022. "Improved Stability Criteria for Delayed Neural Networks via a Relaxed Delay-Product-Type Lapunov–Krasovskii Functional," Mathematics, MDPI, vol. 10(15), pages 1-14, August.
    19. Ren, Yingying & Ding, Da-Wei & Long, Yue, 2023. "Finite-frequency fixed-order dynamic output-feedback control via a homogeneous polynomially parameter-dependent technique," Applied Mathematics and Computation, Elsevier, vol. 441(C).
    20. Zhu, Hao-Yang & Jiang, Xiaoyue & Li, Yuan-Xin & Tong, Shaocheng, 2023. "Finite-time adaptive fuzzy output tracking of switched nonlinear systems with ISD-ADT," Applied Mathematics and Computation, Elsevier, vol. 443(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:501:y:2025:i:c:s009630032500195x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.