A polynomial chaos theory approach to the control design of a power converter

This paper introduces the polynomial chaos theory as a new approach for the design of the control of a power converter. Thanks to the polynomial chaos theory approach, which is possible to formally include parameter uncertainty in the design approach. Furthermore the effects of the uncertainties can also be evaluated on a time-domain simulation. This paper introduces the mathematical background and then applies the theory to the control of classical DC/DC converter. Comparison with classical control design approaches is also presented.