Trajectory Paths for Dc - Dc Converters and Limits to Performance

Trajectory-based controls respond spontaneously to control and system disturbances. Such performance is useful in dynamic applications such as motor drives or converters to meet tracking requirements. This paper evaluates possible trajectory paths a buck or boost converter can take, and the use of geometric surfaces to guide these paths. Numerical procedures are developed to find a converter's system-limited response time and to give insight into the nature of switch solution sets. The paper reviews known sliding surfaces in the context of control objectives. Two different objective-specific surfaces are presented: one controls peak startup current and another recovers from any disturbance with one commutation