Modeling of Model Free Control for Switching Power Supply
Integrated approach of modeling and adaptive control
In the references, the following general models are proposed:
Y (k) - y (k-1)= φ (k-1) [u (k-1) - u (k-2)>(4-1)
Without loss of generality, it is assumed that the time delay of the controlled dynamic system S is 1, y (k) is the one-dimensional output of system S, and u (k-1) is the p-dimensional input. φ (k) It is a characteristic parameter that is estimated online using some identification algorithm, and k is the discrete time. We will see that in the integrated process of real-time identification - real-time feedback correction identification and control, φ (k) It has obvious mathematical and engineering significance.
Integrated real-time modeling and feedback control
Specifically, our integrated framework for modeling and feedback control is as follows:
(1) Based on observational data and general models
Y (k) - y (k-1)= φ (k-1) [u (k-1) - u (k-2)]
By using appropriate valuation methods, we have obtained φ Valuation of (k-1) φ (k-1).
(2) Seeking φ The forecast value for the forward step of (k-1) φ＊ (k) A simple method is to take
φ＊ (k)= φ＊ (k-1)
When seeking control laws, we consider φ＊ (k) Still remembered as a society φ (k) .
(
3) Apply the control law to system S and obtain a new output Bey (k+1). So a new set of data {y (k+1), u (k)} was obtained.
On the basis of this new set of data, repeat (1), (2), and (3) to obtain new data {y (k+2), u (k+1)} and continue like this. As long as system S meets certain conditions, under the action of this procedure, the output y (k) of system S will gradually approach y0.
