The invention relates to a no-gyro
satellite gesture determination method based on
tensor product multi-
cell robust heavy
hydrogen (H2) filtering, and belongs to the technical field of aircrafts. As for the nonlinear characteristics of
satellite gesture dynamic equations and kinematical equations, the no-gyro
satellite gesture determination method based on the
tensor product multi-
cell robust H2 filtering provides the multi-
cell robust H2 filtering based on
tensor product conversion to transform a
nonlinear filtering problem into a linear filtering problem. The no-gyro satellite gesture determination method based on the tensor product multi-cell robust H2 filtering includes the steps of first establishing a state equation and a
star sensor measurement equation of a gesture determination
system and transforming a
nonlinear system into a linear variable
parameter error system by utilizing Jacobian
linearization, then establishing linear parameter varying (LPV)
system multi-
cell model description according to tensor
product model transformation and acquiring state
estimation correction amount of the gesture determination system through combining with the robust H2 filtering, and last correcting gesture single-step pre-measurement acquired through a
extended Kalman filter (EKF) method by utilizing the
estimation correction amount to obtain a gesture
estimation value. Accordingly, real-time updated filtering
gain in the EKF method is avoid, and filtering calculated amount is reduced greatly.