As of my last knowledge update in September 2021, synchronous buck converters are typically controlled using various feedback control techniques, such as proportional-integral-derivative (PID) control or voltage mode control. Model Predictive Control (MPC) is a more advanced control strategy that has been applied to various systems, including power converters, but it might not be as common in traditional power electronics applications like buck converters.
However, I can provide you with a general overview of how MPC could potentially be used to control the output voltage of a synchronous buck converter:
Modeling the System: The first step in applying MPC to a buck converter is to create a mathematical model of the system. This model should accurately capture the behavior of the converter, including the dynamics of the output voltage in response to changes in input voltage, load current, and control signals.
Prediction: MPC works by predicting the future behavior of the system over a finite time horizon. In the context of a buck converter, this would involve predicting how the output voltage will respond to changes in the input voltage and load current.
Cost Function: A cost function is defined that quantifies the performance objectives and constraints of the system. In the case of a buck converter, this cost function could include terms that penalize deviations from the desired output voltage, minimize control effort, and ensure that current and voltage limits are not violated.
Optimization: The MPC controller solves an optimization problem at each time step to determine the optimal control inputs that minimize the cost function while satisfying the system dynamics and constraints. The optimization process takes into account the predicted behavior of the system over the defined time horizon.
Control Input: The calculated optimal control inputs from the optimization step are applied to the buck converter. In the case of a synchronous buck converter, these control inputs could be the duty cycle of the switching signal that drives the synchronous switches.
Iterative Process: MPC is an iterative process. At each time step, the optimization problem is solved again with updated measurements and predictions. This allows the controller to continuously adjust the control inputs to track the desired output voltage and respond to changing conditions.
It's important to note that implementing MPC for power converters, especially in real-time applications, comes with challenges such as computation time, modeling accuracy, and stability considerations. Additionally, the specifics of how MPC is applied to a synchronous buck converter can vary based on the exact control objectives and constraints of the system.
If you're looking for the most up-to-date information on the application of MPC to synchronous buck converters, I recommend consulting recent research papers, technical articles, and industry sources in the field of power electronics and control systems.