State estimation method for high-accuracy nonlinear system
A technology of nonlinear systems and nonlinear states, applied in computing, special data processing applications, instruments, etc., can solve the problems of necessity, urgency, and unsatisfaction
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Embodiment 1
[0123] figure 2 The state x in the system shown in the expression (5) k A representative estimate of where h(x k+1 )=△tx k+1 (1-0.5x k+1 ); k ~N(0,b 2 Δt); n k+1 ~N(0,d 2 Δt). Δt represents the sampling interval time. There are three equilibrium points in this system, which are at 0 and ±1 respectively, where the system is unstable at 0 and stable at ±1.
[0124] In the figure, SUQKF represents the method of the present invention, which is named as: Simplex Unscented Quadrature Kalman Filter (SUQKF) method. SUQKF* represents the state estimation method corresponding to different order sampling points, such as SUQKF2 represents the state estimation method corresponding to the second order sampling point. It can be seen from the figure that although the estimation of EKF can also tend to a stable state, it is completely opposite to the actual state of the system, that is, the state estimation fails. However, the estimation of SUQKF is basically consis...
Embodiment 2
[0127] Ballistic targets are extremely destructive and dangerous, and the accuracy of state estimation directly affects whether they can be destroyed before landing, so it is of great significance to track them with high precision. The ballistic target reentry tracking system is established as follows:
[0128] x k + 1 = f ( x k ) = x k + Δtg ( x k ...
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