Robust H2 Filtering Design for 2-D Discrete-time Linear System with Uncertainties
含有不确定性的2维离散线性系统的鲁棒 H2滤波设计

This paper is about robust H2 filtering design for 2-dimensional discrete-time linear system with convex uncertainties and presents two methods to design the filtering. The first method is based on the idea of introducing parameter-dependent matrix function. As the degree of matrix function increases, more variables are generated to lead to less conservative results. However, the degree can not go infinitely and there exists supremum. The conservatism can not be further reduced when the degree arrives at the supremum. Then, in order to further reduce the conservatism, the second method, i.e., iteration algorithm is proposed based on the analysis of the possible source of conservatism. Since no special structures are required in the slack variables, the algorithm is less conservative than the existing results. In the end, two examples are presented to illustrate that the second method can further reduce conservatism even when the first one fails to do.