Robust strictly dissipative control of differential linear repetitive processes

The problem of strictly dissipative control for differential linear repetitive processes with or without parameter uncertainties is investigated, where the parameter uncertainties are assumed to be norm-bounded. By means of linear matrix inequality, a sufficient condition is derived to ensure the stability along the pass and strict dissipativeness for differential linear repetitive processes. Based on the criterion, the problem is solved via feedback controller, which guarantees that the resulting closed-loop processes to be stable along the pass and strictly dissipative. These results are extended to the case when there is uncertainty in the process model. A numerical example is given to demonstrate the effectiveness of the proposed method.