Discrete-Time Event-Triggered Control of Nonlinear Wireless Networked Control Systems

Abstract EN

This paper investigates the problem of stabilization of nonlinear discrete-time networked control systems (NCSs)with event-triggering communication scheme in the presence of signal transmission delay.

A Takagi-Sugeno (T-S)fuzzy model and parallel-distributed compensation (PDC) scheme are first employed to design a nonlinear fuzzyevent-triggered controller for the stabilization of nonlinear discrete-time NCSs.

The idea of the event-triggeringcommunication scheme (i.e., a soft computation algorithm) under consideration is that the current sensor data is transmittedonly when the current sensor data and the previously transmitted one satisfy a certain state-dependent triggercondition.

By taking the signal transmission delay into consideration and using delay system approach, a T-S fuzzydelay system model is established to describe the nonlinear discrete-time NCSs with event-triggering communicationscheme.

Attention is focused on the design of fuzzy event-triggered controller which ensures asymptotic stabilityof the closed-loop fuzzy systems.

Linear matrix inequality- (LMI-) based conditions are formulated for the existenceof admissible fuzzy event-triggered controller.

If these conditions are feasible, a desired fuzzy event-triggered controllercan be readily constructed.

A nonlinear mass-spring-damper mechanical system is presented to demonstratethe effectiveness of the proposed method.