Stability-preserving modification of paper machine cross-directional control near spatial domain boundaries

The optimal controller design for spatially distributed dynamical systems is greatly simplified when spatially invariant models are used. However, the true spatial boundary conditions of many practical systems, including paper machine cross-directional processes, disrupt the spatial invariance and potentially destabilize the control system if not taken into account. This paper considers the design of stability preserving spatial boundary conditions for paper machine cross-directional controllers originally computed for idealized spatially invariant processes.