Stabilization of Almost Periodic Piecewise Linear Systems with Norm-Bounded Uncertainty for Roll-to-Roll Dry Transfer Manufacturing Processes

This paper presents the first stabilization result for almost periodic piecewise linear systems (APPLSs) with both norm-bounded additive modeling uncertainty and dwell-time uncertainty. The technique employs a mixed-mode time-varying Lyapunov function to generate a sequence of controller gains that stabilize the uncertain APPLS. This modelling structure aligns with the R2R dry transfer of patterned two-dimensional (2D) materials, an emerging technology for continuous, chemical-free flexible material and device transfer. Thus, the proposed controller synthesis method provides stabilization guarantees for a novel modeling framework with applications in the expanding realm of advanced 2D device manufacturing.