Closed-loop system identification method based on slope response and known time delay
A closed-loop system and identification method technology, applied in the field of automatic control, can solve problems such as failure of advanced control methods, optimization of control strategies, and basis of pathological calculations
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[0072] 1) The controlled object to be identified is described by the transfer function of second-order inertia plus pure delay. The mathematical expression of the controlled object is as follows:
[0073]
[0074] Among them, G(s) is the transfer function of the controlled object, s and τ are the differential operator and the known delay constant of the controlled object respectively, k, a 1 and a 2 It is the parameter that needs to be identified for the controlled object; the delay constant of the controlled object generally has 0≤τ≤100;
[0075] 2) Acquisition The closed-loop system starts to experience a slope response from the steady state and reaches a new steady state value, and collects the input data set R during this time period 0 and the output dataset Y 0 , the length of the data is n, and the sampling period is ΔT; the input data set R 0 and the output dataset Y 0 The forms are as follows:
[0076] R 0 =[r 0 (1),...,r 0 (i),...,r 0 (n)]
[0077] Y 0 =...
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