Modeling of Switching Power Supply Model-Free Control
In the references, the following general model is proposed:
y(k)-y(k-1)=φ(k-1)[u(k-1)-u(k-2)>(4-1)
Without loss of generality, it is assumed here that the time delay of the controlled dynamic system S is 1, y (k) is the one-dimensional output of the system S, and u (k-1) is the p-dimensional input. φ (k) is the characteristic parameter, which is estimated online using a certain identification algorithm, and k is the discrete time. We will see that in the integrated identification and control process of real-time identification and real-time feedback correction, φ (k) has significant mathematical and engineering significance.
Integration of real-time modeling and feedback control
Specifically, our framework for integrating 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, the valuation of φ (k-1) was obtained.
(2) A simple method to find the predicted value of the next step, φ * (k), for φ (k-1) is to take
φ＊(k)=φ＊(k-1)
When seeking control laws, we still denote φ * (k) as social φ (k).
(3) Apply the control law to system S to obtain a new output Bey (k+1). So we obtained a new set of data {y (k+1), u (k)}.
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 in this way. 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.
