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Second-order sliding mode controller design with mismatched term and time-varying output constraint

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  • Ding, Chen
  • Ma, Li
  • Ding, Shihong

Abstract

The current work develops a new approach to handle the second-order sliding mode (SOSM) controller design with mismatched term and time-varying output constraint. A novel time-varying Barrier Lyapunov Function (BLF) is firstly constructed to deal with the time-varying output constraint. A new SOSM dynamics subject to mismatched terms is established for the purpose of uncertainty reduction in control input channels. Meanwhile, by incorporating the time-varying BLF into the adding a power integrator (API) technique, a new finite-time SOSM controller, which can ensure that the system output variable will not violate the boundary of the constrained region, is explicitly constructed. Finally, a simulation example is given to illustrate the feasibility of the proposed SOSM algorithm.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:407:y:2021:i:c:s0096300321004203
    DOI: 10.1016/j.amc.2021.126331
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    References listed on IDEAS

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    1. 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).
    2. 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).
    3. Mei, Keqi & Ma, Li & He, Runxin & Ding, Shihong, 2020. "Finite-time controller design of multiple integrator nonlinear systems with input saturation," Applied Mathematics and Computation, Elsevier, vol. 372(C).
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    Cited by:

    1. Alejandro Rincón & Fredy E. Hoyos & John E. Candelo-Becerra, 2022. "An Output Feedback Controller for a Second-Order System Subject to Asymmetric Output Constraint Based on Lyapunov Function with Unlimited Domain," Mathematics, MDPI, vol. 10(11), pages 1-20, May.
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