IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v424y2022ics0096300322000996.html
   My bibliography  Save this article

Finite-time optimal tracking control using augmented error system method

Author

Listed:
  • Wang, Di
  • Liu, Can
  • Ding, Dawei
  • Gao, Suixiang
  • Chu, Ming

Abstract

This paper proposes a design method of finite-time optimal tracking controller for quadratic performance index. A novel nonlinear finite-time optimal controller is designed to solve the finite-time optimal tracking control problem for linear system. By applying augmented error system method and finite-time optimal state feedback control, sufficient conditions involving V-function are obtained, and eventually, a nonlinear controller based on the V-function is derived. In addition, the construction of a specific V-function satisfying those conditions is discussed in detail. The nonlinear controller which we introduced makes closed-loop system finite-time stable, so that the tracking error of original system converges in finite time. The simulation example illustrates the efficiency of our results.

Suggested Citation

  • Wang, Di & Liu, Can & Ding, Dawei & Gao, Suixiang & Chu, Ming, 2022. "Finite-time optimal tracking control using augmented error system method," Applied Mathematics and Computation, Elsevier, vol. 424(C).
  • Handle: RePEc:eee:apmaco:v:424:y:2022:i:c:s0096300322000996
    DOI: 10.1016/j.amc.2022.127013
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300322000996
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.amc.2022.127013?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. Xiao Yu & Fucheng Liao & Jiamei Deng, 2018. "Robust Preview Control for a Class of Uncertain Discrete-Time Lipschitz Nonlinear Systems," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-15, September.
    2. Du, Haibo & Yu, Bo & Wei, Jiajia & Zhang, Jun & Wu, Di & Tao, Weiqing, 2020. "Attitude trajectory planning and attitude control for quad-rotor aircraft based on finite-time control technique," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    3. Aravindh, D. & Sakthivel, R. & Kong, Fanchao & Marshal Anthoni, S., 2020. "Finite-time reliable stabilization of uncertain semi-Markovian jump systems with input saturation," Applied Mathematics and Computation, Elsevier, vol. 384(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. Wang, Wei & Xie, Xiangpeng & Feng, Changyang, 2022. "Model-free finite-horizon optimal tracking control of discrete-time linear systems," Applied Mathematics and Computation, Elsevier, vol. 433(C).
    2. Kairui Chen & Yixiang Gu & Hai Lin & Zhonglin Zhang & Xiaoyang Zhou & Xiaodong Wang, 2024. "Guaranteed Performance Event-Triggered Adaptive Consensus Control for Multiagent Systems under Time-Varying Actuator Faults," Mathematics, MDPI, vol. 12(10), pages 1-26, May.

    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. Wang, Fang & Gao, Yali & Zhou, Chao & Zong, Qun, 2022. "Disturbance observer-based backstepping formation control of multiple quadrotors with asymmetric output error constraints," Applied Mathematics and Computation, Elsevier, vol. 415(C).
    2. Yuedou Pan & Mengtong Pei & Li Li & Yanrong Lu, 2020. "Preview Tracking Control for Discrete-Time Multirate Systems: An Internal Model-Based Approach," Mathematics, MDPI, vol. 8(9), pages 1-20, August.
    3. Khalid A. Alattas & Mai The Vu & Omid Mofid & Fayez F. M. El-Sousy & Afef Fekih & Saleh Mobayen, 2022. "Barrier Function-Based Nonsingular Finite-Time Tracker for Quadrotor UAVs Subject to Uncertainties and Input Constraints," Mathematics, MDPI, vol. 10(10), pages 1-16, May.
    4. Liu, Lu & Ding, Shihong, 2021. "A unified control approach to finite-time stabilization of SOSM dynamics subject to an output constraint," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    5. Yue, Xiaohui & Shao, Xingling & Li, Jie, 2021. "Prescribed chattering reduction control for quadrotors using aperiodic signal updating," Applied Mathematics and Computation, Elsevier, vol. 405(C).
    6. Sun, Qingdong & Ren, Junchao & Zhao, Feng, 2022. "Sliding mode control of discrete-time interval type-2 fuzzy Markov jump systems with the preview target signal," Applied Mathematics and Computation, Elsevier, vol. 435(C).

    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:424:y:2022:i:c:s0096300322000996. 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.