Novel control approaches based on projection dynamics

In this letter, our objective is to explore how two well-known projection dynamics can be used as dynamic controllers for stabilization of nonlinear systems. Combining the properties operators, Lyapunov stability theory and LaSalle’s theorem, we confirm that on feasible set tangent cone are Krasovskii passive. To show effectiveness proposed approach, use stabilizing boost converters in a DC microgrid while satisfying predefined input constraints.