Abstract: |
In order to solve the problem of observability of ellipsoid array model in the tracking and recognition of magnetic targets in water, a state space model of the magnetic field of ellipsoid array was established. The deterministic part of the nonlinear stochastic discrete system was analyzed first, and then the overall stochastic system was analyzed. The linearization method was used to solve the Gramian matrix of the deterministic part of the system, and the observability of the determined part of the system was analyzed by the Gramian rank criterion. Singular value decomposition was used to use the reciprocal of the condition number of the observability matrix as the index to measure the observability of the deterministic part of the system. Generalized inverse calculation of observability matrix was introduced to calculate observability of state component of stochastic system. The conditions of system observability, stochastic observability of system state component, and ranking of observability of each state component are determined. |