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Event-based control of time-delayed nonlinear systems with partial state feedback and output feedback

A event-based control problem is studied for a class of time-delayed nonlinear systems where partial state feedback and output feedback are considered respectively. The existence of unmeasurable states and time-delayed states may deteriorate the performance of the event-triggered system. An event trigger is designed with introducing a new variable to threshold function. It can be guaranteed that a positive value exists as the lower bound of the sampling intervals. What’s more, the globally asymptotic stabilization can be guaranteed under the nonlinear time-delay small-gain theorem by appropriately choosing the gains of measurable states and the estimator variable to the sampling error. Finally, the method is applied to a time-delayed nonlinear output-feedback control system to illustrate its effectiveness.