Boundary control of a bipolar square-wave generator using second-order switching surface

This paper presents the boundary control of a bipolar square-wave generator using a second-order switching surface. The switching surface is derived by estimating the state trajectory movement after a switching action, resulting in a high state trajectory velocity along the switching surface. This phenomenon accelerates the trajectory moving towards the target operating point. A near-optimum performance can be achieved after a large-signal disturbance or output reference variation. The theory is verified with both simulation and experimental results.