Linear state-feedback control of a boost converter for large-signal stability

The problem of stabilizing a boost regulator in large-signal situations using linear control laws is derived by means of a circuit-oriented procedure. After establishing a large-signal circuit model for the boost regulator including state-feedback, conditions for passivity in the resulting two-port are studied. As a consequence, a linear control law is derived, thus ensuring regulator global stability even if the control saturation is taken into account. Subsequently, a linear analysis is performed, in order to design the desired dynamics and robust behavior of the switching regulator. The nonlinear analysis shows that only one feedback gain is necessary, provided that the coordinates of the equilibrium point are known. The use of regulator root locus allows one to choose the proper value of this gain. Simulations and experimental results verify the analytical predictions.