Stabilizing Winding Systems by Injection Damping Control Based on Controlled Hamiltonian Systems

In continuous processing plants, flexibility of the web is a source of vibrations and resonance amongst motor drives and thus reduces the product quality. Port-controlled Hamiltonian with dissipation (PCHD) modeling is considered to develop stabilization strategies with a physical interpretation and motivation of the control action. A web transport system is modeled as a PCHD system and the control action is defined to obtain asymptotically stable operating points for the controlled system by a passivity argument. The controller negative output feedback gain matrix is interpreted as the realization of virtual dampers added to the system. Structural analysis is used both for controller tuning and to define damping matrices to generate a master-slave-like structure.