Research article

A novel event-triggered constrained control for nonlinear discrete-time systems

  • Received: 19 April 2023 Revised: 06 June 2023 Accepted: 15 June 2023 Published: 26 June 2023
  • MSC : 93C05, 93C41, 93C55, 93E20

  • In this paper, a novel event-triggered optimal control method is developed for nonlinear discrete-time systems with constrained inputs. First, a non-quadratic utility function is constructed to overcome the challenge caused by saturating actuators. Second, a novel triggering condition is designed to reduce computational burden. Difference from other triggering conditions, fewer assumptions are required to guarantee asymptotic stability. Then, the optimal cost function and control law are obtained by constructing the action-critic network. Convergence analysis of the system is provided in the consideration of the system state and neural network weight estimation errors. Finally, the effectiveness and correctness of the proposed method are verified by two numerical examples.

    Citation: Yuanyuan Cheng, Yuan Li. A novel event-triggered constrained control for nonlinear discrete-time systems[J]. AIMS Mathematics, 2023, 8(9): 20530-20545. doi: 10.3934/math.20231046

    Related Papers:

  • In this paper, a novel event-triggered optimal control method is developed for nonlinear discrete-time systems with constrained inputs. First, a non-quadratic utility function is constructed to overcome the challenge caused by saturating actuators. Second, a novel triggering condition is designed to reduce computational burden. Difference from other triggering conditions, fewer assumptions are required to guarantee asymptotic stability. Then, the optimal cost function and control law are obtained by constructing the action-critic network. Convergence analysis of the system is provided in the consideration of the system state and neural network weight estimation errors. Finally, the effectiveness and correctness of the proposed method are verified by two numerical examples.



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