Set-Membership State Estimation for 2-D Roesser Systems Based on Zonotope Radius and Its Application

This brief is concerned with the problem of zonotopic set-membership state estimation for 2-D Roesser systems subjected to unknown-but-bounded disturbance. First ,a general guaranteed state estimation algorithm is designed to obtain a set of zonotopes containing the system states that are consistent with the model parameters and the measurement out-puts. Then, based on the constructed P-radius functions, an optimal correction matrix design criterion with L-infinity performance is provided for the obtained zonotope. Furthermore, an offline optimization problem is constructed to obtain the optimal correction matrix. Finally, a numerical example is provided to certify the effectiveness of the proposed approach.