Compensation of spatially distributed disturbances in heat conduction systems

The article presents an approach for designing a feedforward compensation of a spatially distributed disturbance acting on a boundary controlled one dimensional heat conduction system. The disturbance affects the system behavior via a fixed spatial characteristic meaning that the spatial influence of the time dependent measured disturbance signal is a space dependent model parameter. The compensation is realized by calculating a control input signal which eliminates the influence of the disturbance signal on the output variable. For the compensation the inversion of the distributed parameter system (DPS) using a power series approach combined with a homogenizing system transformation is proposed. To ensure the convergence of the feedforward control and to calculate the compensating input trajectories online a filter for the disturbance signal is designed in this work. The performance of the presented late lumping approach is illustrated by showing and discussing simulation results.