Modelling and Regional Stability Analysis of Switching Buck Circuits with Multiple Equilibria

This paper tries to model buck circuits containing parasitic resistors in the form of switched linear Hamiltonian systems with multiple equilibria and then analyzes the stability problem of the buck circuits. First, a region containing all equilibrium points is determined based on the special structure of the system, and then sufficient conditions for buck circuits concerning region stability and asymptotic region stability are proposed based on the concepts of region stability and asymptotic region stability. Finally, numerical simulation is performed for a buck circuit to verify the results’ validity and practicality.