LMMSE Filtering in Feedback Systems With White Random Modes: Application to Tracking in Clutter

作者：Sigalov Daniel^*; Michaeli Tomer; Oshman Yaakov

来源：IEEE Transactions on Automatic Control, 2014, 59(9): 2549-2554.

DOI：10.1109/TAC.2014.2308601

• Clutter and data association
• state estimation
• target tracking

A generalized state space representation of dynamical systems with random modes switching according to a white random process is presented. The new formulation includes a term, in the dynamics equation, that depends on the most recent linear minimum mean squared error (LMMSE) estimate of the state. This can model the behavior of a feedback control system featuring a state estimator. The measurement equation is allowed to depend on the previous LMMSE estimate of the state, which can represent the fact that measurements are obtained from a validation window centered about the predicted measurement and not from the entire surveillance region. The LMMSE filter is derived for the considered problem. The approach is demonstrated in the context of target tracking in clutter and is shown to be competitive with several popular nonlinear methods.

• 出版日期2014-9