Upgraded sliding surfaces are used to control the output voltage of a single-phase stand-alone inverters. As a new generation of sliding surfaces, terminal sliding surfaces, fast terminal sliding surfaces and non-singular fast terminal sliding surfaces are available in the literature. While quicker dynamic results can be obtained with the fast terminal manifolds, the surface-induced chattering effect is very high. Chattering with the non-singular surface is minimal, but dynamic reactions are also sluggish. In comparison to the other two structures, the nonsingular fast terminal manifold produces more desirable results. In this paper, a non-singular fast terminal structure is compared with other ones using various visualizations, and its strengths are displayed in detail. On the other hand, the parabolic modulation (PM) approach, which was newly described in the literature, is utilized to ensure that the generated switching signals had a constant frequency. To demonstrate the efficacy of PM and to encourage its adoption in further research, this approach is contrasted with the hysteresis modulation (HM) method under various circumstances.