<p>A novel self-adjusting prescribed performance event-triggered fixed-time control scheme is proposed for pure-feedback nonlinear systems subject to input saturation. A fixed-time auxiliary system (FXTAS) is proposed, which is capable of temporarily compensating for the performance boundaries in the presence of input saturation and converging to zero at a specified time when the saturation disappears. Unlike the existing results, a judgment mechanism is incorporated into the auxiliary system to prevent the problem of the auxiliary signal being generated in advance when the tracking error is not close to the performance boundary, which eliminates unnecessary computational loads from the closed-loop system. Furthermore, an event-triggered mechanism is implemented to save network transmission resources. Theoretical analysis confirms that the proposed control strategy guarantees the boundedness of all closed-loop signals under the condition that the system is Input-to-state practically stable (ISPS), while the tracking error consistently stays within the self-adjusting performance boundaries. Finally, the controller’s efficacy is further validated through arithmetic simulations.</p>

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Self-adjusting prescribed performance event-triggered fixed-time control for nonlinear systems with input saturation

  • Zhonghua Wu,
  • Yadong Xu,
  • Xiangwei Bu

摘要

A novel self-adjusting prescribed performance event-triggered fixed-time control scheme is proposed for pure-feedback nonlinear systems subject to input saturation. A fixed-time auxiliary system (FXTAS) is proposed, which is capable of temporarily compensating for the performance boundaries in the presence of input saturation and converging to zero at a specified time when the saturation disappears. Unlike the existing results, a judgment mechanism is incorporated into the auxiliary system to prevent the problem of the auxiliary signal being generated in advance when the tracking error is not close to the performance boundary, which eliminates unnecessary computational loads from the closed-loop system. Furthermore, an event-triggered mechanism is implemented to save network transmission resources. Theoretical analysis confirms that the proposed control strategy guarantees the boundedness of all closed-loop signals under the condition that the system is Input-to-state practically stable (ISPS), while the tracking error consistently stays within the self-adjusting performance boundaries. Finally, the controller’s efficacy is further validated through arithmetic simulations.