Dynamic self-triggered output-feedback control for nonlinear stochastic systems with time delays

In this paper, the dynamic self-triggered output-feedback control problem is investigated for a class of nonlinear stochastic systems with time delays. To reduce the network resource consumption, the dynamic event-triggered mechanism is implemented in the sensor-to-controller channel. Criteria are first established for the closed-loop system to be stochastically input-to-state stable under the event-triggered mechanism. Furthermore, sufficient conditions are given under which the closed-loop system with dynamic event-triggered mechanism is almost surely stable, and the output-feedback controller as well as the dynamic event-triggered mechanism are co-designed. Moreover, a dynamic self-triggered mechanism is proposed such that the nonlinear stochastic system with the designed output-feedback controller is stochastically input-to-state stable and the Zeno phenomenon is excluded. Finally, a numerical example is provided to illustrate the effectiveness of proposed dynamic self-triggered output-feedback control scheme.