<p>In this paper, the fuzzy tracking control for the switched nonlinear systems under the input saturation, the bounded disturbance, and the uncertainty is investigated. To describe the switching phenomenon, the general persistent dwell-time switching rule is adopted. Additionally, the uncertainty is approximated by the fuzzy logic system. Then, the upper bounds of the disturbance and the approximation error are estimated by the adaptation. The adaptation estimation auxiliary system is designed to improve the estimation performance. Simultaneously, to guarantee the tracking performance and avoid the tedious calculation of derivative for the virtual control laws in the controller design, the predefined-time prescribed performance function and second-order command filter are adopted, respectively. Thereafter, the sufficient conditions of the boundedness for the constructed signals are deduced. Finally, the feasibility and advantages of the proposed approach are illustrated by the control of an inverted pendulum model, where the tracking error is reduced by the prescribed performance function, the fuzzy logic system, and the adaptation estimation auxiliary system.</p>

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Adaptive fuzzy tracking control for switched nonlinear systems with prescribed performance and its application

  • Tian Fang,
  • Zhengguo Huang,
  • Jing Wang,
  • Hao Shen

摘要

In this paper, the fuzzy tracking control for the switched nonlinear systems under the input saturation, the bounded disturbance, and the uncertainty is investigated. To describe the switching phenomenon, the general persistent dwell-time switching rule is adopted. Additionally, the uncertainty is approximated by the fuzzy logic system. Then, the upper bounds of the disturbance and the approximation error are estimated by the adaptation. The adaptation estimation auxiliary system is designed to improve the estimation performance. Simultaneously, to guarantee the tracking performance and avoid the tedious calculation of derivative for the virtual control laws in the controller design, the predefined-time prescribed performance function and second-order command filter are adopted, respectively. Thereafter, the sufficient conditions of the boundedness for the constructed signals are deduced. Finally, the feasibility and advantages of the proposed approach are illustrated by the control of an inverted pendulum model, where the tracking error is reduced by the prescribed performance function, the fuzzy logic system, and the adaptation estimation auxiliary system.