Stabilisation of distributed-order nonlinear systems via event-triggered control

This paper investigates the stability for a class of distributed-order nonlinear systems via event-triggered control method. First of all, an inequality of the solution is established for distributed-order nonlinear inequality systems by employing Laplace transform. And then, by designing an appropriate state feedback controller and event-triggered strategy, and using Lyapunov stability theory and matrix inequality technique, a sufficient condition to ensure the asymptotic stability of the considered distributed-order nonlinear systems is obtained in the form of linear matrix inequality. Moreover, a criterion to exclude Zeno behaviour in event-triggered strategy is provided. Finally, the feasibility and effectiveness of the proposed method are verified by a simulation example.

Automated summary

This paper investigates the stability of a class of distributed-order nonlinear systems using an event-triggered control method. It first establishes an inequality for the solution of distributed-order nonlinear inequality systems using Laplace transform. Then, by designing a state feedback controller and event-triggered strategy and using Lyapunov stability theory and matrix inequality technique, a sufficient condition for the asymptotic stability of the considered systems is obtained in the form of a linear matrix inequality. Furthermore, a criterion to exclude Zeno behavior in the event-triggered strategy is provided. Finally, the proposed method is verified through a simulation example.