Modeling profile response from bumping multiple consecutive profiling actuators

Abstract

A cross-direction feedback controller, profiler system and actuator setpoint controller are provided in communication with a plurality of actuators in a machine of a web-forming process, and with a local region detector that determines an actual profile response of a product of the web-forming process in response to consecutively bumping each of the actuators. A relationship between generated profile response data and an actuator setpoint change in the generated profile response data is represent by a profile-to-actuator general interaction matrix, which is expanded into linear equations that describe impacts of bumped actuators on different profile points of generated profile response data. The linear equations are rearranged into a bump-magnitude matrix as a function of a desired response model vector. A least-square solution is found for the bump-magnitude matrix, convolved with a window function and then optimized to minimize error between an actual and a modeled profile response.