Simulink Control Design™ - MathWorks

LPV Approximation of a Boost Converter Model

This example shows how you can obtain a Linear Parameter Varying (LPV) approximation

of a Simscape™ Electrical™ model of a Boost Converter. The LPV representation allows

quick analysis of average behavior at various operating conditions.

Boost Converter Model

A Boost Converter circuit converts a DC voltage to another DC voltage by controlled

chopping or switching of the source voltage. The request for a certain load voltage is

translated into a corresponding requirement for the transistor duty cycle. The duty cycle

modulation is typically several orders of magnitude slower than the switching frequency.

The net effect is attainment of an average voltage with relatively small ripples. See Figure

1 for a zoomed-in view of this dynamics.

Figure 1: Converter output (load) voltage generation

In practice there are also disturbances in the source voltage and the resistive load

affecting the actual load voltage.

Open the Simulink model.

mdl = 'BoostConverterExampleModel';

open_system(mdl);

LPV Approximation of a Boost Converter Model