Finite control set predictive control based on Lyapunov function for three-phase voltage source inverters

A Lyapunov-function-based technique for finite control set predictive control is proposed to control the load currents of three-phase voltage source inverters (VSIs). The developed technique, based on a discrete-time model of a VSI, determines a control law using the Lyapunov function. Based on the Lyapunov stability analysis considering inevitable quantisation errors between the proposed control law and control actions selected from the inherent finite control set of the VSI, all signals of the closed-loop dynamics are uniformly ultimately bounded and the current control errors converge to a neighbourhood of the origin. In addition to rendering the finite control set predictive control system globally stable, the proposed Lyapunov-function-based finite control set predictive control reduces the amount of calculations required to predict a future variable by half compared with the conventional finite control set predictive control, resulting in lower actuation time delay. Experimental results with three-phase VSIs are presented to validate the proposed Lyapunov-function-based control method.