Robust Control Applied to a Synchronous Buck Converter with Loss and Uncertainty in its Parameters

This Work presents the application of control with H_∞ problem, together with pole location constraint by LMI formulation in a Buck converter. The uncertainties modeling of the system variables uses the constraint by a convex polytope. Mathematical software with the implementation of algorithms for LMIs solution, as well as software for circuit simulation, were used as an aid for the formulation and validation of the control. The result of the robust controller in a transient period is compared to a classic controller, giving justification for the quality of the results.