Ripple reduction in AC-DC power converters via a Lyapunov approach

This paper develops a systematic state-space approach to modeling of boost type AC-DC converters and reduction of the output ripples. The bridge rectifier voltage is modeled as a periodic disturbance whose harmonics have given frequencies but uncertain phases and magnitude. This type of disturbances are described as the output of an external autonomous linear system, called an exogenous system, with uncertain initial conditions. The exogenous system is integrated with the boost converter as a whole system in statespace description. The whole system is a nonlinear system whose differential equations has a bilinear term, which is handled by an inclusion. Via a recently developed Lyapunov framework, the problem of ripple reduction is converted into a numerically efficient optimization problem which involves linear matrix inequalities (LMIs). The resulting feedback law is a simple linear state-feedback. Experimental results validate the effectiveness of the theoretical approach and design method.