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A novel hybrid scheme for fixed-time SOSM control of nonlinear uncertain systems subject to mismatched terms

Author

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  • Shi, Shang
  • Min, Huifang
  • Hu, Yinlong
  • Sun, Yonghui
  • Wang, Bing

Abstract

In this paper, a novel second-order sliding mode (SOSM) controller is proposed for a general class of uncertain nonlinear systems in the presence of mismatched terms. The proposed SOSM controller is based on a hybrid scheme which switches between two different controllers. The former fixed-time attractive controller can drive the sliding variables into a closed compact set of the origin in a time that do not depend on system initial values. The latter finite-time controller can drive the sliding variables to zero. Strict Lyapunov analysis show that the controlled system under the proposed hybrid controller can guarantee the globally fixed-time stability of the closed-loop system. A simulation example under different initial values is given to show the effectiveness of the theoretical results.

Suggested Citation

  • Shi, Shang & Min, Huifang & Hu, Yinlong & Sun, Yonghui & Wang, Bing, 2020. "A novel hybrid scheme for fixed-time SOSM control of nonlinear uncertain systems subject to mismatched terms," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    • Handle: RePEc:eee:apmaco:v:386:y:2020:i:c:s0096300320304690
    DOI: 10.1016/j.amc.2020.125511
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    References listed on IDEAS

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    1. Zhuang, Guangming & Xu, Shengyuan & Xia, Jianwei & Ma, Qian & Zhang, Zhengqiang, 2019. "Non-fragile delay feedback control for neutral stochastic Markovian jump systems with time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 355(C), pages 21-32.
    2. Wang, Jing & Liang, Kun & Huang, Xia & Wang, Zhen & Shen, Hao, 2018. "Dissipative fault-tolerant control for nonlinear singular perturbed systems with Markov jumping parameters based on slow state feedback," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 247-262.
    3. Jia, You & Wu, Huaiqin & Cao, Jinde, 2020. "Non-fragile robust finite-time synchronization for fractional-order discontinuous complex networks with multi-weights and uncertain couplings under asynchronous switching," Applied Mathematics and Computation, Elsevier, vol. 370(C).
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    Cited by:

    1. Wei, Yangchun & Wang, Haoping & Tian, Yang, 2024. "Shifting asymmetric time-varying BLF-based model-free hybrid force/position control for 3-DOF SEA-based manipulator with random initial error," Applied Mathematics and Computation, Elsevier, vol. 463(C).
    2. Luo, Peng & Wu, Defeng & Yamashita, Andre S. & Feng, Na & Yang, Yang, 2024. "Observer-based fixed-time dynamic surface tracking control for autonomous surface vehicles under actuator constraints and denial-of-service attacks," Applied Mathematics and Computation, Elsevier, vol. 465(C).
    3. Ding, Chen & Ma, Li & Ding, Shihong, 2021. "Second-order sliding mode controller design with mismatched term and time-varying output constraint," Applied Mathematics and Computation, Elsevier, vol. 407(C).

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