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Convergence Time Calculation for Supertwisting Algorithm and Application for Nonaffine Nonlinear Systems

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  • Jianhua Zhang
  • Quanmin Zhu
  • Yang Li

Abstract

In this study, an accurate convergence time of the supertwisting algorithm (STA) is proposed to build up a framework for nonaffine nonlinear systems’ finite-time control. The convergence time of the STA is provided by calculating the solution of a differential equation instead of constructing Lyapunov function. Therefore, precise convergence time is presented instead of estimation of the upper bound of the algorithm’s reaching time. Regardless of affine or nonaffine nonlinear systems, supertwisting control (STC) provides a general solution based on virtual control law skill ensuring the output of the systems converges to the origin point at exact time. Benchmark tests are simulated to demonstrate the effectiveness and efficiency of the algorithm.

Suggested Citation

  • Jianhua Zhang & Quanmin Zhu & Yang Li, 2019. "Convergence Time Calculation for Supertwisting Algorithm and Application for Nonaffine Nonlinear Systems," Complexity, Hindawi, vol. 2019, pages 1-15, October.
    • Handle: RePEc:hin:complx:6235190
    DOI: 10.1155/2019/6235190
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    References listed on IDEAS

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    1. Mingyue Tan & Jiming Li & Xiangqian Chen & Xuezhen Cheng, 2019. "Power Grid Fault Diagnosis Method Using Intuitionistic Fuzzy Petri Nets Based on Time Series Matching," Complexity, Hindawi, vol. 2019, pages 1-14, July.
    2. Q. M. Zhu & D. Y. Zhao & Jianhua Zhang, 2016. "A general U-block model-based design procedure for nonlinear polynomial control systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(14), pages 3465-3475, October.
    3. Jianhua Zhang & Quanmin Zhu & Yang Li & Xueli Wu, 2019. "Homeomorphism Mapping Based Neural Networks for Finite Time Constraint Control of a Class of Nonaffine Pure-Feedback Nonlinear Systems," Complexity, Hindawi, vol. 2019, pages 1-11, May.
    4. Ruiguo Liu & Xuehui Gao, 2019. "Neural Network Identification and Sliding Mode Control for Hysteresis Nonlinear System with Backlash-Like Model," Complexity, Hindawi, vol. 2019, pages 1-10, July.
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