LQR-Control for Buck-Converter

Linear-Quadratic controller where you adjust the weights and solve the algebriac ricatti equation.

This is a very basic LQR-controller for the Buck converter. Due to the control input being only duty cycle in case of Buck topology . we can control either Voltage state or current state. In this file the full design is given along with some open code to solve the ricatti equation manually.

I have decided to control the voltage loop using the duty . but we can change the y matrix to [1 0] by having it control the current. This would act as a fast inner loop in the normal buck converter control methodology. Then we can close the outer loop with a PI controller .

Thank you