Switching control design for LTI system with uncertain equilibrium: Application to parallel interconnection of DC/DC converters

This paper addresses the problem of designing a robust control law for uncertain switched affine systems. In order to cope with model uncertainties, dynamic controller is introduced. Local asymptotic stability closed-loop system as well zero steady state error on controlled output are proven. A constructive method based LMI conditions given. It delivers parameters and an estimation domain attraction. The proposed strategy applied parallel interconnection m DC/DC converters. For this system, extensive discussion offered specific difficulties about ill-conditioned matrix inequalities. Finally, by using user-programmable Field-Programmable Gate Array (FPGA), experimental results provided illustrate effectiveness control.