本文研究了噪声在有界椭球集的2-DFMII模型的状态向量的递推估计问题。从提高计算的有效性和可实现性出发,通过在不同的更新阶段采用优化定界椭球(OBE)算法,对该系统提出了一种新的状态估计方法。所得状态估计是状态空间里一个集合而不是单个向量。其中的最优估计是包含系统未知状态的最小容积椭球。
The problem for recursive estimation of state vectors of 2-D FMII models with noise in bounding ellipsoidal sets is studied in this paper. A method based on optimal bounding ellipsoid (OBE) algorithmic procedure at each stage of updating is presented to improve computational efficiency and practicability. The state estimate thus obtained is actually a set in state space rather than a single vector, with the smallest calculable set including the unknown system state as the optimal estimate.