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Bilinear Control of DC-DC Boost Converter in the Presence of Gaussian Disturbance of Load

This paper presents a feedback control scheme of the boost converter governed by a bilinear discrete time model. The complete state space model is derived using the averaging method based on switch-open and switch-closed conditions of the converter. Load disturbances are represented by a random load resistance which is formulated as a Gaussian process with zero mean and a given covariance. For reference tracking and load disturbances rejection, in this study the bilinear control concept is deployed because the proportion-integral (PI) and linear quadratic regulator (LQR) control methods based on linearized models were found to be inadequate. The simulation results show that the system is mean square stable if the covariance of load disturbance is below a certain threshold.