IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v357y2019icp297-309.html
   My bibliography  Save this article

Stability analysis of nonlinear switched systems with sampled-data controllers

Author

Listed:
  • Wang, Zhichuang
  • Chen, Guoliang
  • Ba, Hezhen

Abstract

This paper addresses the problem of global stability of nonlinear switched systems with sampled-data controllers. By using multiple Lyapunov functions, we obtain sufficient conditions to guarantee nonlinear switched sampled-data systems with arbitrary finite transmission delay are globally exponentially stable. What is more, utilizing the nonlinear emulation techniques, the stability criteria for nonlinear switched sampled-data systems are also derived. Meanwhile, we also present the region of attraction for nonlinear switched sampled-data systems. Finally, some simulation results are presented to verify the validity of our proposed methods.

Suggested Citation

  • Wang, Zhichuang & Chen, Guoliang & Ba, Hezhen, 2019. "Stability analysis of nonlinear switched systems with sampled-data controllers," Applied Mathematics and Computation, Elsevier, vol. 357(C), pages 297-309.
    • Handle: RePEc:eee:apmaco:v:357:y:2019:i:c:p:297-309
    DOI: 10.1016/j.amc.2019.04.006
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300319302826
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2019.04.006?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. Chen, Guoliang & Xia, Jianwei & Zhuang, Guangming & Zhao, Junsheng, 2018. "Improved delay-dependent stabilization for a class of networked control systems with nonlinear perturbations and two delay components," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 1-17.
    2. Ren, Yuanhong & Wang, Weiqun & Wang, Yixiang, 2018. "Incremental H∞ control for switched nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 251-263.
    3. Ge, Chao & Wang, Bingfang & Wei, Xian & Liu, Yajuan, 2017. "Exponential synchronization of a class of neural networks with sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 150-161.
    4. Zeng, Deqiang & Zhang, Ruimei & Liu, Xinzhi & Zhong, Shouming & Shi, Kaibo, 2018. "Pinning stochastic sampled-data control for exponential synchronization of directed complex dynamical networks with sampled-data communications," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 102-118.
    5. Li, Jian & Guo, Xinxin & Chen, Cong & Su, Qingyu, 2019. "Robust fault diagnosis for switched systems based on sliding mode observer," Applied Mathematics and Computation, Elsevier, vol. 341(C), pages 193-203.
    6. Wang, Ronghao & Xing, Jianchun & Xiang, Zhengrong, 2018. "Finite-time stability and stabilization of switched nonlinear systems with asynchronous switching," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 229-244.
    7. Zhang, Jing & Xia, Jianwei & Sun, Wei & Zhuang, Guangming & Wang, Zhen, 2018. "Finite-time tracking control for stochastic nonlinear systems with full state constraints," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 207-220.
    8. Wang, Yijing & Zou, Yanchao & Zuo, Zhiqiang & Li, Hongchao, 2016. "Finite-time stabilization of switched nonlinear systems with partial unstable modes," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 172-181.
    9. Yang, Te & Chen, Guoliang & Xia, Jianwei & Wang, Zhen & Sun, Qun, 2019. "Robust H∞ filtering for polytopic uncertain stochastic systems under quantized sampled outputs," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 688-701.
    10. Liu, Lei & Zhou, Qi & Liang, Hongjing & Wang, Lijie, 2017. "Stability and Stabilization of Nonlinear Switched Systems Under Average Dwell Time," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 77-94.
    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, Shuo & Xiang, Zhengrong, 2020. "Positivity, exponential stability and disturbance attenuation performance for singular switched positive systems with time-varying distributed delays," Applied Mathematics and Computation, Elsevier, vol. 372(C).
    2. Hou, Linlin & Li, Yao & Luo, Wende & Sun, Haibin, 2022. "Adaptive tracking control of switched cyber-physical systems with cyberattacks," Applied Mathematics and Computation, Elsevier, vol. 415(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. Li, Yanan & Sun, Yuangong & Meng, Fanwei & Tian, Yazhou, 2018. "Exponential stabilization of switched time-varying systems with delays and disturbances," Applied Mathematics and Computation, Elsevier, vol. 324(C), pages 131-140.
    2. Wu, Kai-Ning & Sun, Han-Xiao & Yang, Baoqing & Lim, Cheng-Chew, 2018. "Finite-time boundary control for delay reaction–diffusion systems," Applied Mathematics and Computation, Elsevier, vol. 329(C), pages 52-63.
    3. Shi, Shuang & Fei, Zhongyang & Shi, Zhenpeng & Ren, Shunqing, 2018. "Stability and stabilization for discrete-time switched systems with asynchronism," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 520-536.
    4. Dai, Mingcheng & Huang, Zhengguo & Xia, Jianwei & Meng, Bo & Wang, Jian & Shen, Hao, 2019. "Non-fragile extended dissipativity-based state feedback control for 2-D Markov jump delayed systems," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    5. Liang, Xingyue & Xia, Jianwei & Chen, Guoliang & Zhang, Huasheng & Wang, Zhen, 2019. "Dissipativity-based sampled-data control for fuzzy Markovian jump systems," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 552-564.
    6. Hu, Xiaohui & Xia, Jianwei & Wei, Yunliang & Meng, Bo & Shen, Hao, 2019. "Passivity-based state synchronization for semi-Markov jump coupled chaotic neural networks with randomly occurring time delays," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 32-41.
    7. Fang, Liandi & Ma, Li & Ding, Shihong & Zhao, Dean, 2019. "Finite-time stabilization for a class of high-order stochastic nonlinear systems with an output constraint," Applied Mathematics and Computation, Elsevier, vol. 358(C), pages 63-79.
    8. Göksu, Gökhan & Başer, Ulviye, 2021. "Finite-time stability for switched linear systems by Jordan decomposition," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    9. Huang, Xin & Liu, Yamin & Wang, Yang & Zhou, Jianping & Fang, Muyun & Wang, Zhen, 2020. "L2−L∞ consensus of stochastic delayed multi-agent systems with ADT switching interaction topologies," Applied Mathematics and Computation, Elsevier, vol. 368(C).
    10. Wang, Jing & Ru, Tingting & Xia, Jianwei & Wei, Yunliang & Wang, Zhen, 2019. "Finite-time synchronization for complex dynamic networks with semi-Markov switching topologies: An H∞ event-triggered control scheme," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 235-251.
    11. Zhu, Xingao & Liu, Shutang, 2022. "Reachable set estimation for continuous-time impulsive switched nonlinear time-varying systems with delay and disturbance," Applied Mathematics and Computation, Elsevier, vol. 420(C).
    12. Liu, Yu-An & Tang, Shengdao & Liu, Yufan & Kong, Qingkai & Wang, Jing, 2021. "Extended dissipative sliding mode control for nonlinear networked control systems via event-triggered mechanism with random uncertain measurement," Applied Mathematics and Computation, Elsevier, vol. 396(C).
    13. Yao, Hejun & Gao, Fangzheng & Huang, Jiacai & Wu, Yuqiang, 2021. "Global prescribed-time stabilization via time-scale transformation for switched nonlinear systems subject to switching rational powers," Applied Mathematics and Computation, Elsevier, vol. 393(C).
    14. Zhang, Jiancheng & Chadli, Mohammed & Wang, Yan, 2019. "A fixed-time observer for discrete-time singular systems with unknown inputs," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    15. Jiao, Shiyu & Shen, Hao & Wei, Yunliang & Huang, Xia & Wang, Zhen, 2018. "Further results on dissipativity and stability analysis of Markov jump generalized neural networks with time-varying interval delays," Applied Mathematics and Computation, Elsevier, vol. 336(C), pages 338-350.
    16. Wang, Lingyu & Huang, Tingwen & Xiao, Qiang, 2018. "Global exponential synchronization of nonautonomous recurrent neural networks with time delays on time scales," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 263-275.
    17. Wang, Dongji & Chen, Fei & Meng, Bo & Hu, Xingliu & Wang, Jing, 2021. "Event-based secure H∞ load frequency control for delayed power systems subject to deception attacks," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    18. Min, Huifang & Xu, Shengyuan & Yu, Xin & Fei, Shumin & Cui, Guozeng, 2020. "Adaptive Tracking Control for Stochastic Nonlinear Systems with Full-State Constraints and Unknown Covariance Noise," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    19. Wang, Jing & Hu, Xiaohui & Wei, Yunliang & Wang, Zhen, 2019. "Sampled-data synchronization of semi-Markov jump complex dynamical networks subject to generalized dissipativity property," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 853-864.
    20. Liu, Lei & Zhou, Qi & Liang, Hongjing & Wang, Lijie, 2017. "Stability and Stabilization of Nonlinear Switched Systems Under Average Dwell Time," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 77-94.

    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:357:y:2019:i:c:p:297-309. 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.