LMI control of boost-PWM converters: An implementation approach

Switching regulator implementations become unsuccessful when the duty-cycle signal propagates the current ripple. We propose a new robust LMI control strategy to avoid the ripple propagation drawbacks. This control strategy is applied to boost converters ensuring that the duty-cycle signal is almost ripple free. In addition, the proposed control takes into account usual LMI constraints on stability, pole-placement and control effort while optimizes the current-disturbance rejection. In order to illustrate our approach, we compare the proposed strategy when we take into account the ripple constraint and when we do not. We verify the proposed strategy by means of PSIM simulations concluding that the corresponding waveforms are in perfect agreement with the analytical derivations.