Fuzzy-model-based control design of nonlinear discrete-time networked control systems via event-triggering communication scheme

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. The nonlinear NCSs can be approximated by Takagi-Sugeno (T-S) fuzzy model. The event-triggering communication scheme under consideration is that the current sensor data is transmitted only when the current sensor data and the previously transmitted one satisfy a certain quantitative relation. By taking the signal transmission delay into consideration, a fuzzy delay system model is established to describe the nonlinear discrete-time NCSs with event-triggering communication scheme. Attention is focused on the design of fuzzy state-feedback controller which ensures asymptotic stability of the closed-loop fuzzy systems. Linear matrix inequality (LMI)-based conditions are formulated for the existence of admissible fuzzy controller. If these conditions are feasible, a desired fuzzy controller can be readily constructed. A nonlinear mass-spring-damper mechanical system is presented to demonstrate the effectiveness of the proposed method.