Set‐membership state estimation for delayed switched systems with fading measurement and interval uncertainty

Abstract

Considering the influence of interval uncertainty, a set‐membership state estimation algorithm based on zonotope is proposed for discrete‐time delayed switched systems subject to unknown but bounded noises. To economize on communication resources, an event‐triggered mechanism is introduced to ensure the efficient transmission of the required observation information. For the channel fading phenomenon during data transmission, an interval channel fading model applicable to the zonotope set‐emmbership state estimation is proposed. The asynchronous state observer is constructed by considering the inconsistency between event‐triggered instant and subsystem switched instant. The sufficient conditions for the existence of the state observer are given using the average dwell time method. The optimal observer gain matrix is derived by solving convex optimization. On this basis, the zonotope and the state estimation interval containing states are given by the zonotopic method. Finally, the validity and feasibility of the proposed algorithm are demonstrated by a numerical example with the comparison result.