<p>This work addresses the adaptive predefined time and precision tracking control problem for uncertain nonlinear systems with unknown control directions and external disturbances. By leveraging Nussbaum gain technique and backstepping framework, the challenge of unknown control direction is resolved. Fuzzy logic systems are utilized to handle stochastic disturbances and unknown nonlinearities. Key difficulties in stability analysis are resolved through inequality transformations and novel mathematical techniques. Theoretical analysis demonstrates that the designed control strategy under unknown control directions ensures tracking errors converge to predefined accuracy within a specified time, with all signals remaining globally bounded. Finally, a simulation example is provided to validate the effectiveness of the control algorithm.</p>

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Fuzzy Adaptive Predefined Time and Precision Control for Nonlinear Systems with Unknown Control Direction

  • Xin Xu,
  • Jiayan Li,
  • Dong Qiu

摘要

This work addresses the adaptive predefined time and precision tracking control problem for uncertain nonlinear systems with unknown control directions and external disturbances. By leveraging Nussbaum gain technique and backstepping framework, the challenge of unknown control direction is resolved. Fuzzy logic systems are utilized to handle stochastic disturbances and unknown nonlinearities. Key difficulties in stability analysis are resolved through inequality transformations and novel mathematical techniques. Theoretical analysis demonstrates that the designed control strategy under unknown control directions ensures tracking errors converge to predefined accuracy within a specified time, with all signals remaining globally bounded. Finally, a simulation example is provided to validate the effectiveness of the control algorithm.