Observer-Based Control for DC–DC Converters

The paper proposes a computational technique for the synthesis of a suitable observer-based control for DC–DC switching converters. The work will be carried out directly on the Piece-Wise Affine convincing representation obtained from the Bonds Graph modeling method. The aim was to regulate by switching the converter outputs to an average (not common) equilibrium reference. Based on the Lyapunov theory, a systematic state feedback control is derived from a tractable Bilinear Matrix Inequality formulation of the problem. The design control searches for a single Lyapunov-like function that satisfies practical quadratic stabilization properties in an appropriate continuous state space partition and provides a way to drive the system states into a quantifiable small ball around the non-equilibrium desired reference. To complete the method, a simple state estimation procedure is introduced to avoid state measurements, the technique is based on Luenberger-like observer structure. The approach can be implemented as an embedded software system to generate several continuous supply levels. Satisfactory simulation results are obtained for several examples, the illustrative theoretical demonstrations for some of these switching devices are reported.