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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
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    References listed on IDEAS

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    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).
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    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.

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