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It should be pointed out that since the proportional guidance is a linear time-varying system, the
204 Design of Guidance and Control Systems for Tactical Missiles First, notice that the preconditions for estimating the system state using the Kalman filter are: (1) The dynamic model of a certain linear time-varying system is X ˙ (t) = A(t)X(t) + B(t)u(t) and the output measurement model is Z(t) = C(t)X(t), both are assumed known; (2) A definitive input signal of the system u(t) is given.
The use of Kalman filter in a linear time-varying system is introduced above.
Discrete Kalman filter of the linear time-varying system System model
Fig. 8.75: Kalman filter calculation flow chart of the discrete linear time-varying system
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