A geometric approach to pulse-width-modulated control design

In this article a systematic method, of geometric nature, is proposed for the design of Pulse-Width-Modulated (PWM) control strategies in nonlinear dynamic systems. Necessary and Sufficient conditions are presented for the existence of a local integral manifold of an ideal average system associated with the PWM controlled plant. This invariant manifold qualifies as a local sliding surface where ideal sliding trajectories coincide with the average PWM controlled response, provided the equivalent control and the duty ratio coincide as smooth feedback functions Applications of the proposed method are presented for the feedback control design of Switchmode DC-to-DC Power Converters.