关键词: 不确定系统, 状态估计, 故障检测, 全对称多胞形, 投影

Abstract: A state estimation algorithm based on zonotope and projection operator is proposed for discrete-time uncertain systems. The algorithm updates the state via finding the intersection of the prediction set and  measurement set. A zonotope for the unitary interval is obtained via constructing the projection operator; Plugging the zonotope into the simultaneous equations, the compact set of the guaranteed state estimation is derived for the measurement updation at last. A fault detection algorithm based on the proposed estimation algorithm is derived via detecting whether the set of prediction output contains the values of measurement output. The example has been provided for clarifying the algorithm.

Key words: Uncertain systems, estimation, fault detection, zonotope; projection