Included-angle-based multi-model decomposition and control method of Hammerstein-Wiener system
A control method and multi-model technology, applied in the direction of adaptive control, general control system, control/regulation system, etc., can solve the problems of heavy calculation, improve robustness and closed-loop control performance, and avoid control performance degradation Effect
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[0066] The following examples are given to illustrate the above decomposition and control methods, and the numerical model is simulated and analyzed.
[0067] v=u+0.5u 2 -0.7u 3
[0068]
[0069] y=x-0.5x 2 +0.2x 3
[0070] The output nonlinearity of the above system is irreversible, so the traditional nonlinear inversion method cannot be used. Using the present invention to decompose and control the above-mentioned system based on the included angle, the specific steps are as follows:
[0071] S1. Use the angle-based gridding algorithm to grid the entire operating space of the SISO Hammerstein-Wiener system to obtain 82 grid points, and linearize the Hammerstein-Wiener system at each grid point to obtain 82 Linearize the model, calculate the slope of the static input-output curve of the system at each grid point, and further calculate the angle between every two grid points, and obtain the angle matrix Θ=[θ ij ] 82×82 , where the maximum value of the included angle...
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