Analytical 1-D and 2-D transfer functions of welding for control benchmarking purposes

Despite its importance as a manufacturing process, the use of control loops to improve welding results is not generalized in industry. There seems to be a need for a framework where control engineers can work comfortably without depending on low-order identified models or black boxes. That framework consists of general, yet relatively simple transfer function models allowing controller synthesis, and lightweight simulation mechanisms to benchmark such controllers. This work is a first step in this endeavor, in which analytical 1-D and 2-D transfer functions of welding, which extend the classical Rosenthal models to the dynamic case, are introduced. Besides, for the 1-D case, a 2 × 2 multivariable control model is configured, and the design of a basic controller is also presented.