IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v361y2019icp354-364.html
   My bibliography  Save this article

Identification of discrete Hammerstein systems by using adaptive finite rational orthogonal basis functions

Author

Listed:
  • Mi, Wen
  • Rao, Hangmei
  • Qian, Tao
  • Zhong, Shouming

Abstract

In this paper, an adaptive identification method is presented, it is developed for discrete Hammerstein systems. We adopt a frequency-domain technique by using sampled input–output data. The excitation signals are chosen to be the fundamental harmonics, by which one could get approximating estimate of frequency responses to linear subsystem. By using adaptive rational orthogonal basis functions, we obtain approximations of linear subsystem, it is carried out through selecting poles of the basis functions under some criterion. Meanwhile, efficient estimates of both the nonlinear part and linear part could be obtained in the presence of noise.

Suggested Citation

  • Mi, Wen & Rao, Hangmei & Qian, Tao & Zhong, Shouming, 2019. "Identification of discrete Hammerstein systems by using adaptive finite rational orthogonal basis functions," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 354-364.
  • Handle: RePEc:eee:apmaco:v:361:y:2019:i:c:p:354-364
    DOI: 10.1016/j.amc.2019.05.051
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300319304539
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.amc.2019.05.051?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 search for a different version of it.

    References listed on IDEAS

    as
    1. Wang, Qiang & He, Nanrong & Chen, Xiaojie, 2018. "Replicator dynamics for public goods game with resource allocation in large populations," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 162-170.
    2. Luo, Jinnan & Tian, Wenhong & Zhong, Shouming & Shi, Kaibo & Chen, Hao & Gu, Xian-Ming & Wang, Wenqin, 2017. "Non-fragile asynchronous H∞ control for uncertain stochastic memory systems with Bernoulli distribution," Applied Mathematics and Computation, Elsevier, vol. 312(C), pages 109-128.
    Full references (including those not matched with items on IDEAS)

    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. Huang, Shaoxu & Liu, Xuesong & Hu, Yuhan & Fu, Xiao, 2023. "The influence of aggressive behavior on cooperation evolution in social dilemma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    2. Cheng, Fei & Chen, Tong & Chen, Qiao, 2020. "Rewards based on public loyalty program promote cooperation in public goods game," Applied Mathematics and Computation, Elsevier, vol. 378(C).
    3. Qiang Wang & Linjie Liu & Xiaojie Chen, 2020. "Evolutionary Dynamics of Cooperation in the Public Goods Game with Individual Disguise and Peer Punishment," Dynamic Games and Applications, Springer, vol. 10(3), pages 764-782, September.
    4. Hexin Wang & Chao Liu & Yu Dai, 2024. "How Can the Government Promote Sustainable Cooperation between Schools and Enterprises? A Quadrilateral Evolutionary Game Study," Sustainability, MDPI, vol. 16(17), pages 1-14, August.
    5. Chen, Qiao & Chen, Tong & Wang, Yongjie, 2019. "Cleverly handling the donation information can promote cooperation in public goods game," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 363-373.
    6. Iwamura, Yoshiro & Nagashima, Keisuke & Tanimoto, Jun, 2020. "Evolutionary dynamics of a 3-strategy game: Cooperator, defector and costly cooperative loner strategic types," Applied Mathematics and Computation, Elsevier, vol. 370(C).
    7. Zheng, Lei & Li, Youqi & Zhou, Jingsai & Li, Yumeng, 2022. "The effect of celebrity on the evolution of fairness in the ultimatum game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    8. Yu, Xiaohui & He, Mingke & Sun, Hongxia & Zhou, Zhen, 2020. "Uncertain coalition structure game with payoff of belief structure," Applied Mathematics and Computation, Elsevier, vol. 372(C).
    9. Yang, Han-Xin & Yang, Jing, 2019. "Reputation-based investment strategy promotes cooperation in public goods games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 886-893.
    10. Li, Bin-Quan & Wu, Zhi-Xi & Guan, Jian-Yue, 2022. "Critical thresholds of benefit distribution in an extended snowdrift game model," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    11. Yangyang Lv & Lili Wan & Naizhong Zhang & Zhan Wang & Yong Tian & Wenjing Ye, 2024. "Research on the Green Transition Path of Airport Development under the Mechanism of Tripartite Evolutionary Game Model," Sustainability, MDPI, vol. 16(18), pages 1-28, September.
    12. Ohdaira, Tetsushi, 2024. "The universal probabilistic reward based on the difference of payoff realizes the evolution of cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    13. Huang, Yongchao & Ren, Tianyu & Zheng, Junjun & Liu, Wenyi & Zhang, Mengshu, 2023. "Evolution of cooperation in public goods games with dynamic resource allocation: A fairness preference perspective," Applied Mathematics and Computation, Elsevier, vol. 445(C).
    14. Wang, Jianwei & Yu, Fengyuan & He, Jialu & Chen, Wei & Xu, Wenshu & Dai, Wenhui & Ming, Yuexin, 2023. "Promotion, Disintegration and Remediation of group cooperation under heterogeneous distribution system based on peer rating," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    15. Feng, Sinan & Liu, Xuesong, 2024. "Effects of three-faced strategy on the evolution of cooperation in social dilemma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 639(C).
    16. Song, Sha & Pan, Qiuhui & Zhu, Wenqiang & He, Mingfeng, 2023. "Evolution of cooperation in games with dual attribute strategy," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    17. Shu, Feng, 2020. "A win-switch-lose-stay strategy promotes cooperation in the evolutionary games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 555(C).
    18. Mingyang Li & Han Pengsihua & Songqing Zhao & Zejun Wang & Limin Yang & Weian Liu, 2024. "Fukushima Nuclear Wastewater Discharge: An Evolutionary Game Theory Approach to International and Domestic Interaction and Strategic Decision-Making," Papers 2402.07210, arXiv.org.
    19. Kang, Zengxin & Zhang, Lei & Li, Kun, 2019. "An improved social force model for pedestrian dynamics in shipwrecks," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 355-362.
    20. Liu, Danna & Huang, Changwei & Dai, Qionglin & Li, Haihong, 2019. "Positive correlation between strategy persistence and teaching ability promotes cooperation in evolutionary Prisoner’s Dilemma games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 520(C), pages 267-274.

    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:361:y:2019:i:c:p:354-364. 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.