Set-membership Estimation for Event-triggered 2-D Systems Based on Zonotopes

This article discusses the interval estimation for 2-D systems in Roesser model with amplitude-bounded environmental disturbance and measurement noise. To save the limited capacity of communication network, an event-triggered communication strategy is adopted to reduce the amount of packets transmitted through the network. Considering the amplitude-bounded uncertainties, an observer design criterion with peak-to-peak norm bound is deduced to suppress the influence of uncertainties on estimation error. A zonotope-based interval estimation approach is derived such that the actual state of 2-D Roesser system is enclosed within the estimated intervals on the basis of the obtained observer. Finally, a numerical example is presented to verify the effectiveness of the proposed algorithm.