Robust optimal control of bilinear DC–DC converters

This paper addresses the control problem of dc–dc converters. The control law synthesis considered here exploits the potential of LMI-based control approaches, which allow to cope with model uncertainty, disturbances and bilinearities to synthesize simple state-feedback controllers with a priori guarantee of stability in a large domain of initial and operating conditions. The aim of the paper is to contribute with a robust control framework to deal with the common requirements of regulated dc–dc converters. The correctness of the results has been verified both with numerical simulations and with experimental measurements from a laboratory prototype.