State–space formulation of linear circuits containing periodically operated switches

Abstract

AbstractThe state–space formulation of linear circuits containing periodically operated switches requires one to obtain the state and output equations. Further, it requires one to obtain the switching equations where discontinuities in the state variables occur at a switching instant. A new method for the computation of the state and output equations is given. Further, a procedure is described to obtain the switching equations, in the most general form, at a switching instant. Examples are given to illustrate these methods in finding the state, the output and the switching equations.