Layer-to-Layer Stability of Linear Layerwise Spatially Varying Systems: Applications in Fused Deposition Modeling

Closed-loop control applications for additive manufacturing (AM) technologies introduce unique challenges in control-oriented modeling and controller development. There have been developments current literature to model the temporal spatial dynamics of AM processes. The processes are often modeled using tools from fluid mechanics represent material deposition motion system. Spatial by representing spreading deposited layerwise domain. An important challenge with is understand performance layer-to-layer (L2L) under disturbances To this end, article presents a linear spatially varying (LLSV) systems framework L2L height evolution generic process. proposed unifying can easily various stability measure provided as dynamic state an novel analysis tool analyze characteristics Fundamental definitions nominal system known Gaussian noise presented. Theoretical robustness bounds experimentally compared fused (FDM) results show that theoretical given work provide foundation developing closed-loop applications.