In a preferred embodiment, a voltage inverter comprises a voltage converter circuit and a controller. The voltage inverter produces a time-varying output voltage from an input voltage, which can be a DC input voltage or an AC input voltage. The controller provides a control signal at a duty ratio determined dynamically by a set of signals. The set of signals include the time-varying output voltage, a predetermined output voltage, a gain factor and an inductor current in the voltage converter circuit. The predetermined output voltage can have an AC waveform or an arbitrary time-varying waveform. The voltage inverter operates to match the time-varying output voltage to the predetermined output voltage. Input-output linearization is used to design a buck inverter, and input-output linearization with leading edge modulation is used to design boost and buck-boost inverters under conditions where left half plane zero effects are present.