<p>This paper proposes an event-triggered control strategy for achieving prescribed-time stabilization of disturbed nonlinear systems with prescribed transient and steady-state performance constraints. To guarantee performance constraints, a homeomorphic mapping is employed to transform the constrained state into an equivalent unconstrained one. Subsequently, the prescribed-time stabilization problem is reformulated into a more general control problem by applying temporal and scaling transformations. The temporal transformation converts a time-constrained problem into a time-unconstrained one, and the scaling transformation mitigates the singularities induced by the temporal transformation. A disturbance observer is integrated into the controller to alleviate the effects of disturbances. Finally, a prescribed performance prescribed-time controller is designed, which not only ensures that the output of the system reaches the origin at any given time but also satisfies preassigned performance specifications simultaneously. In addition, an event-triggered mechanism is employed, requiring only binary actuation signals (0 or 1) to be sent to the actuator, thereby reducing control effort and communication burden. A simulation example is conducted to verify the superiority of the proposed strategy.</p>

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Event-triggered prescribed-time control for uncertain nonlinear systems with guaranteed performance

  • Min Wang,
  • Xinzhi Liu,
  • Zong-Yao Sun,
  • Jinsheng Sun

摘要

This paper proposes an event-triggered control strategy for achieving prescribed-time stabilization of disturbed nonlinear systems with prescribed transient and steady-state performance constraints. To guarantee performance constraints, a homeomorphic mapping is employed to transform the constrained state into an equivalent unconstrained one. Subsequently, the prescribed-time stabilization problem is reformulated into a more general control problem by applying temporal and scaling transformations. The temporal transformation converts a time-constrained problem into a time-unconstrained one, and the scaling transformation mitigates the singularities induced by the temporal transformation. A disturbance observer is integrated into the controller to alleviate the effects of disturbances. Finally, a prescribed performance prescribed-time controller is designed, which not only ensures that the output of the system reaches the origin at any given time but also satisfies preassigned performance specifications simultaneously. In addition, an event-triggered mechanism is employed, requiring only binary actuation signals (0 or 1) to be sent to the actuator, thereby reducing control effort and communication burden. A simulation example is conducted to verify the superiority of the proposed strategy.