Robust H∞ filter design for 2DFM model
This paper is concerned with the robust H∞ filtering problem for uncertain two-dimensional (2-D) systems described by the Fornasini-Marchesini model. The polynomially parameter-dependent idea is first utilized to solve the robust H∞ filtering problem, with sufficient conditions for existence of the desired H∞ filters expressed in terms of linear matrix inequalities(LMIs). These conditions are developed based on homogeneous polynomially parameter-dependent matrices of arbitrary degree. As the degree grows, test of increasing precision is obtained providing less conservative filter designs. An example is given to show the effectiveness of the proposed approach.
Publication Source (Journal or Book title)
Proceedings of the 26th Chinese Control Conference, CCC 2007
Meng, X., Gao, H., & Chen, T. (2007). Robust H∞ filter design for 2DFM model. Proceedings of the 26th Chinese Control Conference, CCC 2007, 615-619. https://doi.org/10.1109/CHICC.2006.4347007