Multi-model generalized predictive control system and performance evaluation method thereof
A generalized predictive control and multi-model technology, applied in the field of performance monitoring and evaluation, can solve the problems that the performance evaluation of generalized predictive control system is in its infancy, and achieve the effect of improving transient performance, steady state performance and performance
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[0014] The present invention will be further described below in conjunction with accompanying drawing and example.
[0015] (1) the mathematical model of the controlled object that the present invention is aimed at is as follows:
[0016] A(z -1 )y(k)=B(z -1 )u(k-1)+C(z -1 )ξk) / Δ(1)
[0017] In the above formula, u(k), y(k), and ξ(k) are the input, output and zero-mean white noise sequence of the controlled object respectively, Δ=1-z -1 is a difference operator. Here take A=[a 1 ,a 2 ,a 3 ]=[1,-2,1.1], B=[b 0 ,b 1 ]=[1,2], C=1.
[0018] (2) The multi-model set is composed of 8 fixed models with known parameters, a conventional adaptive model and an adaptive model that can be assigned an initial value. For a fixed model set, α 1 ={-1,-2},a 2 ={-2,-1,1,2},b 0 =1,b 1 =2 A total of 8 fixed models. Express the model parameters and data parameters in vector form, that is,
[0019] θ 0 = [ a ...
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